differential equation

The differential equation of motion of the system is first transformed to a state-space model with time delay control input.

Our differential equation will involve some sort of relation between an independent variable x and dependent variable y.

And a partial differential equation is some relation between its partial derivatives. Let me see.

Using the normal solutions of the governing differential equation, the general solution of a bending beam is obtained.

By a transient is meant a solution of the differential equation when there is no force present, but when the system is not simply at rest.

Existence of a positive solution is estalished for a class quasilinear ordinary differential equation of singular initial value problem.

So now I'm ready to substitute this result into that differential equation.

Backward stochastic differential equation(hereafter referred to as BSDE )now has become a rapidly-developing branch of Stochastic Theory.

For each of these two stages, the problem is reduced to a nonlinear partial differential equation.

and the third was that why constant could be changed into function by method of variation of constant in differential equation.

An element is lumped if its terminal relation is an ordinary differential equation as opposed to a partial differential equation .

Differential equation models are widely used in many scientific fields, including engineering, physics and biomedical sciences.

The characteristics of epidemic disease were analyzed and a differential equation model for epidemic disease spreading was set.

The blow-up theory of the solutions for nonlinear evolution equations is an important aspect of partial differential equation.

A partial differential equation is an equation that involves the partial derivatives of a function.

Many problems of dynamical systems can be reduced to an iterative functional equation or an iterative functional differential equation.

The intent of this study is to discuss the critical property of a free boundary problem of a parabolic integro-differential equation.

In this paper, discuss only a special condition of the constant C in general integral of second-order ordinary differential equation.

The course introduces Infinite Series, multiple-variable calculus and its application in economics, Differential equation.

In this article, a fully discrete finite nonlinear difference scheme is established for a class of partial nonlinear differential equation.

The Attempt To Actualizing Discovery Method in Teaching in "Differential Equation"

This result is an application of the singularly perturbed theory for research on the higher order differential equation.

The solution features for a class of first-order generalized autonomous differential equation are discussed.

In approximate calculation of radiation transport differential equation absorption coefficient is a fundamental parameter.

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

Many problems of dynamical systems can be reduced to an iterative functional differential equation.

By the use of a singular function, the differential equation of vibration of a uniform circular shaft with several disks is found.

Hence , numerically solving parabolic partial differential equation by finite difference method is significant in theory and application .

After control object's discretization and programmed in differential equation form, close loop debug can be achieved.

And just to tell you again that is a strange partial differential equation relating these two vector fields.

Results Leibniz made peculiar contribution to the differential equation. First, he put forward the terminology of differential equation.

The existence and stability of periodic solutions of a neutral integro-differential equation with infinite delay were studied.

When optimizing synchro update of the quaternion, the quaternion differential equation is calculated by using minimum parametric method.

In this paper based upon the knowledge of ordinary differential equation and its stability theory, we study the solutions of Dirac equation.

Wavelet and Partial Differential Equation(PDE) are the main methods in removing image noise.

Analyze the Nature of Solutions of the Differential Equation and the Difference Equation with the Physical Way of "Particles Movement"

Its an important problem to determine the stability of zero solutions of linear neutral differential equation .

The field components can be obtained by solving the linear homogeneous differential equation system of field components.

Main contents include: integral, three-dimensional analytic geometry, series and differential equation, etc.

The relative viscosity hypothesis is put forward and introduced in Euler's equation to establish viscosity momentum differential equation.

Finally, the representation of the solution of linear singular differential equation with delay was obtained.

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

Conclusion The thought and methods put forward by Leibniz played a decisive function in the research of the differential equation.

We present a homomorphic partial differential equation filtering method for interferometry fringe patterns.

Analytical formula of track deformation under a single wheel load was derived by establishing the differential equation of track vibration.

We are concerned with a class of vector hyperbolic functional differential equation of neutral type with distributed deviating arguments.

The coupling quasi solution and monotone iterative method of the integral differential equation in abstract cones .

By analyzing several typical examples of ordinary differential equation, it shows its link with mathematical modeling thought.

The differential equation of unsteady infiltration of anomalous pressure has been established, and presents its dimensionless fashion.

Conclusion This model can remedy the shortage of other differential equation models, is a new valuable differential equation model.

At first, the differential equation for the transverse free vibration of a uniform beam with lumped masses is formulated.

Aiming at skip's loading in course of mine hoisting, the differential equation of motion for the skip with variable coal mass was built.

A differential equation for calculating squeeze-film air damping in slotted plates is developed by modifying the Reynolds equation.

An important case is the linear homogeneous second - order differential equation with constant coefficients .

A differential equation of giving series of incremental AGC(Automatic Gauge Control)model has been derived by the error analysis method.

To the ESPI fringe patterns and phase patterns, always we could get better effects with partial differential equation (PDE) filter methods.

Stability theory is concerned with the state of differential equation when time approach infinity.

A differential equation of motion for functionally graded material(FGM) skew plate is established in skew coordinate system.

First, a minimum-energy variation model is derived from anisotropic diffusion differential equation.

An effective method for solving a partial differential equation of secondary hydrocarbon migration is put forward.

Third, he was a pioneer to seek solution of ordinary differential equation.

Differential equation satisfied by the survival probability is derived when the claim sizes are exponential.

the partial differential equation of curve evolution is solved using upwind difference numerical scheme.

In this paper, we study the oscillatory behavior for second order nonlinear functional differential equation.

In this grid, a finite difference method is used to disperse the differential equation to the equations of temperature field first.

This is the full differential equation for the full mechanism. Not just one part of it.

In this paper the authors study a class of second order neutral differential equation, give its new oscillation criteria.

Under constant interest, we derive an integro-differential equation for the Gerber-Shiu expected discounted function.

Within its integrand, however, an unknown circulation is included so that it becomes an integral-differential equation.

A differential equation model describing the biochemical reaction system of autocatalysis is studied.

The differential equation and algebraic equation are calculated separately so as to use proper methods based their own characteristics.

As a special case, the third order differential equation is derived when both the premium and the claim size are exponential distributions.

New and improved ordinary differential equation (ODE) solvers enable faster, more reliable calculations.

This paper proposed a stochastic differential equation-based model to describe the dynamics of peer-to-peer (P2P) file distribution systems.

Namely, this is still a pretty straightforward differential equation. So let's just integrate both sides.

The partial differential equation of flow in porous medium has been studied with variational finite element method.

Method of leading variables is method of solving linear ordinary differential equation of first order.

A new approach for solution of nonlinear algebraic and differential equation sets was presented.

The truncation errors in finite differential equation are corrected in solving the model.

The gravity component in water hammer differential equation has also been discussed.

In this work, we use partial differential equation techniques to remove noise from digital images.

So you can write down immediately the solution to this differential equation.

This paper obtains a new oscillation theorem of high-order differential equation with damping.

This thesis summarizes the methods of linear differential equation group.

A finite element model of intelligent beam has been formulated to derive the differential equation and the energy equation.

The linear singular differential equation with delay was discussed.

A nonlinear differential equation describing the motion of the inner surface of the shell was proposed.

So we know that the solution to this differential equation gives me omega is the square root of this constant.

Conclusion The result that will help to solve the linear system of differential equation and limited element method.

By using the theorem of coincidence degree, a class of second order neutral functional differential equation with infinite delay is studied.

Science is a differential equation. Religion is a boundary condition.

Look carefully where that l comes into my differential equation and you will probably come up with the right answer.

A high-order singular point in this flow field was analysed by differential equation qualitative theory.

The differential equation of the rope skipping curve is an unintegratle fuction, and thesIope on the curves boundary is equal to infinity.

It is shown that the common method of integrating factor of differential equation of first order is given.

Partial differential equation(PDE) has become an important tool in image processing and analysis.

Meshless method is a new numerical method on problem for determining solution of differential equation.

Hence, we have this differential equation: dee kay over dee tee equals C sub five times kay.

Using the methods of qualitative analysis about differential equation, the graphs are given.

What would a solution be to this differential equation?

it is a partial differential equation satisfied by the electric field E.

A contour extraction method based on general partial differential equation (PDE) of curve evolution is proposed.

We gave a new method to find the periodic solution of differential equation.

On the other hand, his new definition showed his spirit of pursuing the general solution of the partial differential equation.

According to the Newton motion law, motion differential equation is put forward.

This example demonstrates the use of lsode, an ordinary differential equation solver.

In order to make the original second order ordinary differential equation (ODE) system controllable, a higher order ODE was applied.

We've we've written a differential equation here.

So, it's a partial differential equation, OK?

Basically, to every problem you might want to consider there is a partial differential equation to solve.

And the first thing to do now is that we've eliminated this differential equation.

So we have a differential equation.

To study the oscillatory of solutions to a class of nonlinear neutral hyperbolic differential equation with continuous distributed delay.

A new numerical method is used to solve the partial differential equation from which we can know the secondary clarifier flow pattern.

An Analysis of the Meshing Pitch Point of a Pair of Gears by the Differential Equation of Conjugating Tooth Profile

The Simple and Direct Solution to a Special Sort of First Order Linear Non-homogeneous Differential Equation

On the Existence of Periodic Solution for a Class of Differential Equation with a Time Delay

The Gradation and Vibrating Nature of the First Order Nonlinear Neutral Differential Equation with Positive and Negative Coefficients

A Note on the General Solution to a Two-order Homogeneous Linear Ordinary Differential Equation with Constant Coefficients

That is my differential equation in the x direction, and I prefer always for this a to write down x double-dot.

Solvability of a three-point boundary value problem for a second ordinary differential equation

A Sufficient Condition to the Global Abstraction of the Zero Solution of A certain Neutral Differential Equation With Variable Delays

Solutions of the General n-th Order Variable Coefficients Linear Difference Differential Equation

An Oscillation Result of a Fourth Order Linear Differential Equation

Existence of Solutions of a Second Order Value Problem for Ordinary Differential Equation

Continuous dependence of the solutions on initial condition and parameter for a nonautonomous differential equation

Existence of the almost periodic solutions for a class of third order nonlinear differential equation

The Operator Method to Find the General Solution of Linear Ordinary Differential Equation with Variable Coefficient

Existence of Positive Almost Periodic Solution for a Class of Population Differential Equation with Infinite Delay

The Existence of Uniformly Asymptotically Stable Almost Periodic Solution of Nonlinear Differential Equation with Coefficient Perturbation

On the Boundedness and Periodicity of the Solutions of a Certain Vector Differential Equation of Third-Order

The Existence of Positive Solutions of Boundary Value Problems for a Class of Second-order Differential Equation System

Existence of Periodic Solutions to a Kind of Third Order Functional Differential Equation with a Deviating Argument

On the Existence of Periodic Solutions for a Kind of the Second Order Differential Equation with a Deviating Argument

Numerical Verification of the Order of the Asymptotic Solutions of a Nonlinear Differential Equation

Approach to construct solutions of dyadic Green's function of a generalized vector partial differential equation

Global attractability of solutions of a certain neutral differential equation with variable delays

The Estimates for Characteristic Numbers of Two Dimensional Linear Differential Equation with Almost Periodic Coefficients

Oscillation of a Second Order Nonlinear Impulsive Delay Differential Equation

Solvability of three-point boundary value problems for a second order ordinary differential equation

The exact solution to a class of nonlinear ordinary differential equation and its approximate solution

Oscillation of the solutions of a class delay systems of hyperbolic partial differential equation

Nature of Certain Functional Differential Equation with Time-mixecl Effect

Existence and Uniqueness of Positive Solution to A Second-order Differential Equation on Boundary Value Problem

A forth-order partial differential equation used for image denoising

The optimal existence theory of periodic boundary value problems for a first order differential equation

The Existence of Solutions to a Functional Boundary Value Problem for Ordinary Differential Equation

The Algorithm Model of A Special Solution to the Second-order Nonhomogeneous Linear Constant Coefficients Differential Equation

Jacketed Solution of Two Points Boundary Value Problem for Third Order Nonlinear Differential Equation Involving Two Small Parameters

A Summary of the Result of Complex Oscillation of a Kind of Linear Differential Equation

The Aggregation of a Nonlinear Functional Differential Equation Model of Biological Population

On the Complex Oscillation of a Linear Differential Equation with Meromorphic Function Coefficients

The Existence of Uniformly Stable Almost Periodic Solution of Nonlinear Differential Equation with Coefficient Perturbation

General Conditions for the Existence of Pulse Accumulation Points for Impulsive Differential Equation with Variable Times

Kink Wave Determined by a Parabola Solution of a Nonlinear Ordinary Differential Equation

Existence and multiplicity of positive periodic solutions for a class of differential equation with distributed delay

The Solution of the Continuance Linear Differential Equation that Coefficient Contain Four Number of Times Function

Existence of the solutions of terminal value problems for first order differential equation on infinite interval in Banach spaces

Solvability of a multi-point boundary value problem for quasilinear ordinary differential equation

The Reverse Stochastic Differential Equation and its Application to the Research on the Securities Composed Investment

Bounded Solutions for a Class of Neutral Differential Equation with Positive and Negative Coefficients on Measure Chains

The Solution of the Interlace Series Type Linear Even Differential Equation of Contain Negative One Number of Times Power Function

Transcendental meromorphic solutions of a type of algebraic differential equation

Existence of solution to nonlinear three-point boundary value problem for nonlinear third-order nonlinear ordinary differential equation

The Perturbation Theory of Maximal Monotone Operator and Its Application to Differential Equation

Periodic solutions of a type of high order functional differential equation with complex deviating argument

The Numerical Solution for a Partial Integro-differential Equation with a Weakly Singular Kernel

Existence of Almost Periodic Solution of a Class of Second Order Differential Equation

One Computational Method of the Weighted Eigenvalues of a Class of Differential Equation with Four Orders

The Solving Theorem of First Order and Third Power Differential Equation under Transformation of Polar Coordinates and Its Application

Improvement of an Existence Theorem for an Almost Periodic Differential Equation

Existence of Multiple Solutions to the Conjugate Boundary Value Problem of the n-th Order Differential Equation with Deviating Arguments

Existence of positive periodic solutions for general delayed nonautonomous differential equation

Approximate Solution of Two-phase Differential Equation with Constant Coefficient with Two-point Boundary Value Problem

General Solutions for a Class Second Order Inconstant Coefficients Differential Equation

Existence and Uniqueness of Periodic Solution to A Class of the Second Order Nonlinear Nonautonomous Differential Equation

Existence and Uniqueness of Solutions of Two-Point Boundary Value Problems for Nonlinear Fourth-Order Differential Equation

Existence of Positive Periodic Solution of an Integral Differential Equation System

Asymptotically Eventually Positive Solutions of Nonlinear Differential Equation Involving the Maximum Function on a Measure Chain

Existence and Multiplicity of Positive Periodic Solutions to a Class of Differential Equation with State-Dependent Delays

Existence and Uniqueness and Stability of Almost Periodic Solution to a Class of Neutral Type of Functional Differential Equation

Admissible Meromorphic Solutions of a Type of Higher-Order Algebraic Differential Equation

Asymptotic Stability of a Class of Nonlinear Second Order Functional Differential Equation

BEM Algorithm for Solving the Parameter Identification Problem in Two Order Elliptic Differential Equation

Solution of the Interlace Series Type Linear Differential Equation Containing Binomial Coefficient and Arrangement Number

The Growth of Solutions for a Class of Iterated Order Linear Differential Equation with Meromorphic Coefficients

Fixed Point and Transcendental Number of Linear Differential Equation Solution when Finite Set Overreaches the Whole Function Factor

Existence of Periodic Solution to a Class of Neutral Functional Differential Equation

Differential equation inversion method for automatically identifying permeability distribution of oil reservoir

Solutions of the Boundary Value Problem for a Class of Ordinary Differential Equation Systems

Constructing the New Exact Solutions to a Nonlinear Difference Differential Equation by Direct Algebraic Method

Periodic Solutions for a Kind of Third Order Functional Differential Equation with a Deviating Argument

Stability of zero solution of a delay differential equation under impulsive perturbations

Solvability of a Second-order Implicit Differential Equation

Wavelet-multilevel-regularization method for the parameter estimation problems of partial differential equation

Comments on the Differential Equation of an Ideal Gas in an Arbitrary Quasi- static Process

Asymptotic Behaviour of the Solutions to a Class of Second Order Nonlinear Differential Equation

Several existence results of solution for a nonlinear fractional differential equation

Direct Integral Method to Determine Solution of High-order Linear Differential Equation with Constant Coefficients

Numerical continuation method for solving nonlinear difference equations of ordinary differential equation boundary value problem

Singular Perturbation of Two Points Boundary Value Problem for Third Order Nonlinear Differential Equation

Several types which can be reduced for third order homogeneous linear differential equation with varied coefficient

An Notes for Oscillation Result of Linear Differential Equation

Oscillation of Boundary Value Problems for a Neutral Hyperbolic Differential Equation

The Superconvergence Analysis of Interracial and Differential Equation with Interracial Boundary Condition on Anisotropic Meshes

Existence of Solutions of Nonlinear Three-point Boundary Value Problems for Fourth-order Nonlinear Differential Equation

Dynamic Solution and Simulation with the Wavelet Collocation Method for Differential Equation Series of the Linear Circuits

Integrability Conditions of A Class of Third-order Nonlinear Differential Equation

Quadratic integrability of solutions of a class of nonlinear differential equation

The General Solution of Linear Differential Equation

The existence and uniqueness of global solutions in a functional differential equation model of biological population

Existence of Periodic Solutions of Nonlinear Neutral Differential Equation with Deviating Argument

The Almost Periodic Solution of Two Order Neutral Differential Equation With Piecewise Constant Argument

Oscillation behavior of the solutions of impulsive hyperbolic functional differential equation

A study on the origin of the complete integral of a first-order partial differential equation

Non-admissible solutions of a class of higher-order algebraic differential equation systems

The Complex Oscillation of a Class of Linear Differential Equation with Entire Coefficients

Oscillation for a class of second-order nonlinear ordinary differential equation with impulses

Existence of Periodic Solutions for Second Order Neutral Functional Differential Equation with Impulses

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

Seeking the Convergent Solution of the Cubic Positive Coefficient Homogeneous Differential Equation

Solution of the linear differential equation containing arrangement number and binomial coefficient

The Existence and Uniqueness of a Class of Ordinary Differential Equation Solution Under Approximate But Not Uniform Conditions

The Solution of the System of Ordinary Differential Equation with Constant Coefficients

H-Oscillation of Solutions of Certain Vector Hyperbolic Functional Differential Equation with Distributed Deviating Arguments

Ability Development Within The Theory Of Differential Equation Teaching

Solvability of a singular second order three-point for ordinary differential equation

Periodic Solution and Almost Periodic Solution of a Differential Equation with Delays

New Solution to a Variable Coefficient Second Order, and Linear Homogenous Differential Equation

On Using Convolution to Express Particular Solution to Linear Constant Coefficient Nonhomogeneous Differential Equation

Convergence of Second Non - homogeneous Order Ordinary Linear Differential Equation Boundary Problem Numerical Solution

The Growth of the Solution of a Certain Linear Differential Equation

On globally exponential convergence of a matrix differential equation

Estimate of the upper bound of generalized second eigenvalue for the differential equation with any order

Periodic Solutions for a Kind of Second Order Differential Equation With a Deviating Argument

Solving thermal conduction differential equation by mixed addition and multiplication variable separation method

The Specified Solution Formula Derivation of Second Order non-homogeneous Linear Differential Equation with Constant Coefficients

Decomposition of inverse differential operator and solution of high-order linear differential equation with constant coefficients

Existence of Solutions for a Functional Integro-Differential Equation with Un bounded Delay in Banach Space

Search of a Forth Order Single Scheme for the Initial Value Problem of Ordinary Differential Equation

Existence of solutions for second order differential equation via the upper and lower solutions approach

Existence of Nonoscillation Solutions of a Delay Differential Equation

Teaching Experiments and Study of Ordinary Differential Equation in MM Education Mode

new and high technology; venture capital; backward stochastic differential equation; application program;

Existence of Solutions of Three-Point Boundary Value Problems for Second-Order Impulsive Differential Equation

Oscillation of boundary value problems for a high order nonlinear neutral partial differential equation

Existence of solutions for periodic boundary value problem of second order impulsive differential equation with derivative term

Eigenvalue problem for a nonlinear differential equation on a measure chain

Differential Equation Applied to Research of Quantitative Analysis in Biomedicine

The Existence of Solutions of Three-point Boundary Value Problems for Second Order Impulsive Differential Equation