differential equations

The subject of partial differential equations, which had its beginnings in the eighteenth century, burgeoned in the nineteenth.

The differential equations of piezoelectric radial motion have been derived in terms of radial displacement and electric potential.

These have been developed by the numerical integration of the differential equations of gas motion for a spherical blast wave in air.

by vibration differential equations, crack deformation equation is derived by the concept of mobility.

Finally, we used the obtained results to discuss the existence of multiple solutions of differential equations and a difference equation.

The other is the initial value problem about the general, the non-autonomous singular perturbation of fractional differential equations.

These equations are called differential equations, and their study forms one of the most challenging branches of mathematics.

A method of constructing the basic set of solutions of a system of homogeneous constant-coefficient differential equations is introduced.

This method basically consists in formulating the power flow problem as a set of autonomous ordinary differential equations.

It is one of the important research fields to apply the methods of wavelet analysis and partial differential equations in image processing.

A numerical simulation for a model of wood drying process is considered. The model is given by a couple of nonlinear differential equations.

To be useful in solving engineering problems, the differential equations must be integrated.

Partial differential equations are solved by first discretizing the equation, bringing it into a finite-dimensional subspace.

The solution of the set of second- order linear differential equations ( 6. 10 ) depends on the eigenvalues of A .

Results A recursion formula to the solutions of a class of linear ordinary differential equations with constant coefficients is given.

The theory of the solution of partial differential equations remained to be fashioned .

A note on paper "a simple fast method in finding the analytical solutions to a class of nonlinear partial differential equations"

The fourth one is to determine differential equations which sum functions satisfy, then solve the differential equations.

Compressible miscible displacement in porous medium is modeled by a nonlinear system of two coupled partial differential equations.

Due to the complexity of the nonlinear partial differential equations, the matching conditions simplified and solved.

The OCP is governed by a set of nonlinear partial differential equations and involves control constraints.

a condition specified for the solution to a set of differential equations.

Linear differential equations are, generally speaking, among the simplest to solve.

Many practical problems in engineering and science can be classified as inverse problems of partial differential equations.

This paper establishes an extended system of a system of differential equations by introducing some supplementary variables.

The generalization is quite similar to the corresponding one in the theory of differential equations.

Assume the parameter uncertainty is norm-bounded and the system dynamic is modeled by Ito-type stochastic differential equations.

In this paper, we consider the anti-periodic boundary value problem for a class of nonlinear second order differential equations.

Matrix differential equations appear frequently in a wide variety of models in physics and engineering.

The oscillation of ordinary differential equation is one of important branche of Differential equations.

There have been many studies of continuous epidemic model through differential equations, but little research on discrete models.

Separable variables are a special class of first order differential equations, which has a wide range of uses in practice.

As well as the traditional topics of analysis and differential equations, the degree offers newer topics as well.

his primary research is nonlinear partial differential equations , in particular , equations arising from physical and biological sciences.

The Laguerre spectral and pseudo spectral methods for multiple-dimensional nonlinear partial differential equations are investigated.

Many problems in the engineering practice may be transformed as boundary value problems about elliptic differential equations.

Method of substitution of constants is an important method for solving nonhomogeneous linear differential equations.

At last, this scheme is used for constructing an adaptive orthonormal collocation method for differential equations.

In this paper, we discuss the boundary value problems for a class of second order functional differential equations.

Secondly, the component structural model is proposed, which consists of dynamic differential equations and interface algebraic equations.

Stochastic functional differential equations with Markovian switching are very important in theoretical and have great applications.

In numerically solving ordinary differential equations and differential-algebraic equations block methods are efficient.

The discussion on the differential equations can be connected with the discussion on the integral equations.

Differential equations are established, which can be settled with the method of numerical integration.

Existence and Uniqueness of Solution to a Class of Functional Iterative Differential Equations.

Fuzzy integral and fuzzy differential equations are two important parts of fuzzy analysis.

Aim To investigate the existence of positive solutions for impulsive neutral differential equations.

We apply our result to a class of integral-differential equations with impulse perturbation for estimation.

Using the theory of monotone semiflows, we study the asymptotic behavior of the solutions to a class of functional differential equations.

These descriptions are often made in terms of differential equations with random forcing components.

Aim Giving a formula to the linear ordinary differential equations with constant coefficients and quasi-polynomial non-homogeneous terms.

The statistical average values of some relevant operators satisfy a set of differential equations of the first order.

"A PhD physicist with one course on differential equations is not competitive, " says Dr Schwartz.

Partial differential equations (PDEs) of curve evolution are obtained by minimization of the energy functional.

This book of ideas and examples about the geometry of dynamics and bifurcations of ordinary differential equations.

Some of you may already have solved differential equations.

Choose and write down the appropriate differential equations of motion of the particle.

Many of the fundamental laws of physics, chemistry, biology, and economics can be formulated as differential equations.

error analysis for the spectral approximation for some linear and nonlinear partial differential equations.

The differential equations and algebraic equations, which describe generator and electric-net respectively, are placed into two PC groups.

This article discusses some applications of the matrix differential equations used by matrix spline function.

Ordinary differential equations : separable equations, exact differential equation, integrating factors. 2.

In mathematical analysis, an integral transform useful in solving certain types of partial differential equations.

The boundary value problem of ordinary differential equations is an important domain in differential equations.

Chapter One lists some important theorems in the qualitative theory and the stability theory of ordinary differential equations.

Infinite Boundary Value Problems for Nonlinear Impulsive Differential Equations with "Supremum"

When solving different ordinary differential equations, we may take the analytical solution or numerical solution.

Employing variable step size RK integration method, the nonlinear differential equations with multiple backlash are solved.

Two nonlinear differential equations are solved analytically, all results can be expressed by algeroidal functions.

Moreover, the derived equation, and the stability theory of differential equations to explain the actual meaning of equations.

The paper researches partial differential equations that removes the noise in an image.

In this chapter some of the fundamental differential equations are derived, as are many integrated equations based on shell balances.

Differential equations are suitable for the mathematical simulation of epidemic and virus dynamics.

This method is effective for linear ordinary differential equations whose non-homogeneous term belongs to the set described above.

His doctoral dissertation on differential equations connected itself with existence theorems.

In this paper, the even order differential equations with continuously distributed delay is studied and new oscillatory criteria are given.

The approximation of the parabolic integro-differential equations is studied with anisotropic biquadratic finite element.

Differential equations and difference equations are useful approaches to describe the laws of change about natural phenomena.

"I had never taken a course in physics, or calculus, or differential equations, " he wrote to Professor Lewin.

The obtained stability criteria correct and extend the existed correlative results on delay differential equations.

The static neural network is short of dynamic behavior. Dynamic neural network is described by differential equations with feedback loop.

Then, the image diffuses via a system of coupled differential equations in the direction of minimal change.

Mathmatical models of differential equations play an important role in describing population dynamic behaviors.

The differential equations can be transformed into the integral equations by using the continuous wavelet transform.

In steady state the differential equations are changed into linear algebraic equations suited to solving these problems on computer.

An analog computer used to solve differential equations.

The kinematics of free electrons is described by the free Dirac equation, a four-dimensional system of partial differential equations.

In Chapter 2, we focus on the existence of solutions for two class of impulsive differential equations with nonlinear boundary conditions.

At last, those differential equations are solved by the classic precision integration method.

The problem of approximate solution to a class of time delay differential equations was studied.

At last, those differential equations are solved by the classic precision integration method.

The problem of approximate solution to a class of time delay differential equations was studied.

The relation between the partial differential equations and the integral equations are discussed by using the continuous wavelet transform.

In this paper, we present a network congestion control method in multilayer network with differential equations fluid model.

These partial differential equations are all nonlinear harmonic equations.

Also, second year calculus, including differential equations and surface and volume integrals.

This project mainly deals with the numerical solution of functional differential equations.

For the elliptic cylindrical surface which is the trunk of the blade, the geodesic and non-geodesic differential equations are deduced.

At second, it established virtual industry cluster platforms model in differential equations.

Because of the piezoelectric control in the system, the complex variable terms would appear in differential equations.

The traditional transfer matrix method needs to solve differential equations, and gets the transfer matrix.

The dynamic equation of motion chain is a group of high non-linear differential equations, the solution is difficulty.

The entire registration adopts a stopping criterion as discovered in the context of differential equations.

Note on "Oscillation for Second Order Neutral Functional Differential Equations"

PresentS a nerc fO donation for solving the closed--lOop differential equations of parallel manipulators.

In this paper a new oscillation criterion for second order nonlinear differential equations was established.

Chapter 3: Discusses the application of the non- polynomial splines, B-splines to solve partial differential equations.

It is a very efficient tool to numerical calculate partial differential equations on any shape of domain.

The asymptotic behavior of linear impulsive differential equations is studied.

Having obtained the initial conditions , we goon to solve the network differential equations.

This paper actually also provide a method of estimating forward-backward differential equations.

The differential equations of Bar are discretized into algebraic equations using the differentiation matrices.

Based on Maxwell differential equations, the relationship among phases in multipath is analyzed rigorously and processed normatively.

The relation between some differential equations and the integral equations is discussed.

Such systems in the numerical solution of partial differential equations are quite common when.

Using the orthogonality of characteristic functions, a series of ordinary differential equations and their initial conditions are derived.

According to working principles of the linear shale shaker, the movement differential equations of the screen box are given.

We need two other circuits to solve simple differential equations by analog computer methods.

In the second chapter, we first introduce fundamental knowledge on differential equations and symmetry.

the coefficients of the differential equations are real.

Based on GEAR method, this paper presents the numerical calculation method for solving dynamics differential equations of gear systems.

We're talking about books on hyper geometric partial differential equations.

C-V model which based on the theory of partial differential equations is a novel and effective method in image segmentation.

So, to deal with our problems in natural world, it is crucial to solve differential equations.

an analog computer designed to solve differential equations.

In this paper , we consider the oscillatory and asymptotic behavior of two kinds of two order impulsive functional differential equations.

Fluid flows are described by sets of non-linear partial differential equations.

Solutions in this sense exist only for very few types of differential equations.

There, studying the numerical solution of ordinary differential equations is very important.

Then, we will introduce the stochastic integral driven by the Brownianmotion, and the related Stochastic differential equations.

Methods The qualitative theories of ordinary differential equations are used.

The image impairing based on partial differential equations is suitable to in paint the small scale regions in images.

several ordinary differential equations of how to apply variable substitution to seek solution were generalized.

The exponential matrix is discomposed in order to avoid non convergence in solving directly the transfer matrix differential equations.

Geometrical Methods in the Theory of Ordinary Differential Equations 2nd ed.

This paper states the expressions of solution of some differential equations with delay.

His work remains mathematically in the realm of ordinary differential equations.

The more recent research on differential equations is concerned with the qualitative theory.

In recent years, meshless method is a kind of new and efficient numerical method for solving partial differential equations.

Some end up on Wall Street solving differential equations for their financier and money-lending masters.

The differential equations were solved by using Gear method.

In 1728 Euler gave differential equations for geodesics on surfaces.

A kind of new wavelet numerical method for solving 2D part al differential equations in polygon domain is proposed.

The problem of how to solve a class of nonlinear ordinary differential equations in reproducing kernel spaces is discussed.

It is very difficult to give a good numerical method for highly-oscillatory ordinary differential equations.

In this paper, we display how to use the essence of matrices and the fundamental operations to solve a system of differential equations.

In Chapter 2, the exponential stability of two kinds of impulsive differential equations with delays is considered.

The motion differential equations of 2 DOFs linear model for three-axle vehicle are derived in detail in this paper.

The earliest work in differential equations was first disclosed in letters from one mathematician to another.

Coordinates of its location, so you can not directly see the location of Differential Equations and their links.

Some oscillatory criteria and discrete spectrum criteria are given, and we can apply them to the ordinary differential equations.

If a system of differential equations is met, it is labor to solve it straightly without using matrices operations.

To some extent, his work pays dividends in differential equations.

Do you position yourself to catch a ball by solving differential equations in your head, on the fly?

And, if you want more on that one, we have many fine classes about partial differential equations.

Conclusion The theories of ordinary differential equations can be used to study bio-chemical reaction.

The aim of the paper is to study the existence and multiplicity of solutions of fourth-order ordinary differential equations.

And it has bright future in some book, such as functional analysis, differential equations and so on.

But today, how many students have you met who mastered differential equations and particle physics from an MIT online video?

Existence of Solutions of A Class of Two-point Boundary Value Problem for Second Order Singular Impulsive Differential Equations

The Analytical Solution for a Class of Partial Differential Equations and Its Application to the Steady State Crystal Growth

Existence of Solution Singular Boundary Value Problems for A Class Quasilinear Ordinary Differential Equations

Seeking Particular Solutions to a Class of Nonlinear Partial Differential Equations in a Simple Fast Method

A comparison theorem of a backward-forward stochastic differential equations and its application to finance

Existence of Positive Solutions for Higher Order Neutral Differential Equations with A Variable Coefficient

On finding the general solutions of the homogeneous differential equations by computer

The Existence of Almost Periodic Type Solutions for a Class of Neutral Differential Equations with Piecewise Constant Argument

Study on existence of multiple positive periodic solutions for a class of functional differential equations with impulses

Existence of Positive Solutions for the Delay Differential Equations with a Nonlinear Neutral Term

Existence of Two Positive Solutions of Singular Boundary Value Problems for Fourth-order Nonlinear Differential Equations

Existence of Positive Solutions to Boundary Value Problems for a Class of Second Order Ordinary Differential Equations

Existence of eventually positive solutions for a class of higher order neutral differential equations. ;

Oscillatory criteria for a class of higher order nonlinear neutral partial differential equations with continuous distribution delay

On asymptotic representation of numerical solutions of the nonlinear order differential equations and its application

The analytic form of solutions of a type of algebraic differential equations

Stability Criteria in Terms of Two Measures for Delay Differential Equations

Existence of a Positive Solution of Nonlinear Fractional Differential Equations

Quadratic Integrability and Boundedness of Solutions of a Class of Linear Nonhomogeneous Differential Equations of Second Order

Differential Equations and Differential Relationships of Geodesic Lines in New Form of Geodetic Coordinate System

Numerical Solution of General Differential Equations for Homology Continuation Algorithm and Its Application to Mechanism Synthesis

Positive Periodic Solutions of a Competition Model Governed by Impulsive Differential Equations with Periodic Delays

Monotone Iterations for First Order Parametrized Differential Equations with A Piecewise Constant Argument

Asymptotic Behavior of a Periodic Impulsive Ordinary Differential Equations Model of Plankton Allelopathy

Oscillatory Criteria for a Class of Nonlinear Neutral Partial Differential Equations with Continuous Distribution Delay

Oscillatory Criteria for a Class of Second Order Nonlinear Partial Differential Equations with Continuous Distribution Delay

Existence of Positive Solutions for a class of higher Order Neutral Functional Differential Equations

Existence of Solutions of Two Class Two-Point Boundary Value Problems for Fourth-Order Nonlinear Differential Equations

A Minimal Estimate for Number of Multiple Solutions for a Class of Second-Order Ordinary Differential Equations

Quantum Stochastic Differential Equations in Terms of Generalized Operators

Positive Solution of A Class Quasilinear Ordinary Differential Equations Singular Initial Value Problem

The Existence of Non - negative Periodic Solution for a Class of Differential Equations with Multiple Delays

Oscillation Criteria for A Second Order Nonlinear Differential Equations With Damping

Oscillation Theorem for a Class of Neutral Functional Differential Equations with Positive and Negative Coefficients

On the Rate of Growth of Solutions of a Type of Higher Order Differential Equations

Oscillation criteria of solutions for a certain partial functional differential equations

Positive solutions to singular boundary value problems of a class of second order three-point sublinear differential equations

Existence of Solutions of Two-point Boundary Value Problems for Third-order Nonlinear Differential Equations

The existence of periodic solutions for a group of delay partial functional differential equations

Oscillatory Criteria of a Glass of Second Order Neutral Type Nonlinear Damping Functional Differential Equations

Approximate Stability for a Neutral Stochastic Functional Differential Equations

A Symbolic Computation Method to Decide the Completeness of the Solutions to the System of Linear Partial Differential Equations

Multiplicity and Iterative Approximation of Solutions for a Class of Nonlinear Ordinary Differential Equations

Multiple positive solutions to singular boundary value problems of a class of second order three-point differential equations

Necessary and Sufficient Conditions for Oscillations of a Class of Functional Differential Equations of Delayed Type

Globally Asymptotically Stability of Periodic Solutions of a Class of Integral Differential Equations

The existence, uniqueness and stability for solutions of a backward stochastic differential equations

Boundary Problems of Second- order Elliptic Differential Equations with a Turning Point and Resonance Phenomenon

Oscillation of a Class of Second Order Neutral Functional Differential Equations with Distributed Delay and Damping Term

The Existence of Solutions of Two Point Boundary Value Problem for Second Order Ordinary Differential Equations

The Stability of the Trivial Solution of a Class of Third Order Nonlinear Ordinary Differential Equations

The existence of periodic solutions for a class of second order functional differential equations

Oscillation Behavior of Solutions for a Class of Delay Impulsive Hyperbolic Functional Differential Equations

The Existence of Non-negative Periodic Solution for a Class of Non -autonomous Differential Equations

Oscillatory and Non-oscillatory Behavior of a Class of Second Order Differential Equations with Deviating Arguments

On the diffusion mechanism and Its Differential Equations for the diffusion migration with Electromigration

Generalized Contraction Mapping Principle in Intuitionistic Menger Spaces and an Application to Differential Equations

Global Attractivity of a Class of Nonlinear Functional Differential Equations and Its Applications

Positive solutions for two points boundary value problem of a second order quasi-linear differential equations

Oscillation of Solutions for a Class of Nonlinear Neutral Parabolic Differential Equations Boundary Value Problem

Positive Solutions to Singular Boundary Value Problems of a Class of Fourth Order Sublinear Differential Equations

Existence of positive periodic solutions of a class of delay differential equations

The Long-time Behavior of Solutions for a Class of Second-order Nonlinear Differential Equations

Analytical solution for a class of coupled linear second-order differential equations limited by transformations

The Existence and Uniqueness and Global Attraction of Periodic Solutions for a Class of Functional Differential Equations

Finite Element Method for a Class of Second-order Elliptic Systems of Partial Differential Equations with Boundary Value Problems

Generalized Characteristic Equation for a class neutral delay differential equations

The Existence of Almost Periodic Solutions to a Class of Neutral Functional Differential Equations

Asymptotic behavior of the solution of a class of second order ordinary differential equations

Classification and Existence of Positive Solutions of Higher-order Nonlinear Differential Equations with State Dependent Delays

Existence and Uniqueness of Solutions of Two-point and Three-point Boundary Value Problems for Third Order Nonlinear Differential Equations

Existence of Positive Periodic Solutions for a Class of Differential Equations with Time Delay

On the Characteristic Exponent of Two Dimensional Linear Differential Equations with Periodic Coefficient

Linearity-preserving transformations of linear homogeneous ordinary differential equations and their application

Positive solutions to singular boundary value problems for a class of higher order sublinear differential equations

Oscillatory Behavior Criterion for a Class of Nonlinear Higher Order Function Differential Equations

The existence of solutions for periodic boundary value problems of a class of nonlinear integro-differential equations

A Representation Theorem for Generators of Backward Stochastic Differential Equations and Its Application

Existence of Solutions for a Class of State-dependent Neutral Differential Equations

The singularly perturbed functional boundary value problems for the discontinuous nonlinear differential equations

Oscillation criteria of nonlinear parabolic partial functional differential equations with continuous distribution delay

The Existence of Pseudo-almost Periodic Solutions of Second-order Neutral Delay Differential Equations with Piecewise Constant Argument

On Heteroclinic Orbit and Progressive Wave Solution of a Class of Nonlinear Partial differential Equations

Triple Positive Solutions for a Class of Boundary Value Problems of Second-Order Functional Differential Equations

Mean square stability and exponential stability of the semi-implicit derivative-free methods for solving stochastic differential equations

College: Differential and Integral Calculus, Differential Equations, Linear Algebra, Probability and Statistics, Discrete Math

Admissible algebroid solutions of a type of higher - order algebraic differential equations

Asymptotic Behaviors of Solutions of a Class of Second Order Nonlinear Neutral Differential Equations

Positive solutions for singular boundary value problems of a coupled system of nonlinear ordinary differential equations

Forced Oscillation for a Class of Neutral Delay Parabolic Partial Functional Differential Equations

Singular Perturbations of Boundary Value Problems for a Class of Quasilinear Differential Equations