ordinary differential

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

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

In the second part, we discuss the time-optimal control problem for an ordinary differential system with a pointwise state-constraint.

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

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

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

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

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

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

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

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

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

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.

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

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

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

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

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

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

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

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

Methods The qualitative theories of ordinary differential equations are used.

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

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

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

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.

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.

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

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

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

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

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

Existence of three positive solutions in boundary value problems of a class of second order ordinary differential systems

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

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

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

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

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

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

Necessary Conditions for the Existence of Global Solutions of Higher-order Nonlinear Ordinary Differential Inequalities

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

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

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 Solutions to a Functional Boundary Value Problem for Ordinary Differential Equation

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

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

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

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

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

On the Essential Spectrum of a Class of Ordinary Differential Operators with Logarithmic Coefficients

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

Multiple Positive Solutions of a Class of Nonlinear Third-Order Ordinary Differential Equations

Comparison Solutions of Boundary Value Problems for a Class of Second Order Ordinary Differential Equations

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

Philosophical Reflections on Qualitative Theory and Stability Theory of Ordinary Differential Equations

Existence and stability of bifurcation solution for a category of ordinary differential equations

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

Solvability of a Class of Boundary Value Problems for Third-order Ordinary Differential Equations

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

Geometric Singular Perturbation Theory for Ordinary Differential Equations with Multifrequency

Existence of the Quasi-periodic Solutions of Second Order Ordinary Differential Equations

Bounded Variational Solutions for a Class of Linear Ordinary Differential Equations

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

The existence of positive periodic solutions of nonlinear second order ordinary differential equations

Three Solutions for a Class of Boundary Value Problems of Second-Order Ordinary Differential Equations

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

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

Multiple Solutions for a Class of Quasilinear Ordinary Differential Equations

Existence of Solutions for the Periodic Boundary Value Problem of High Order Ordinary Differential Equations in Banach Spaces

On Explosive Solutions for a Class of Second Order Nonlinear Ordinary Differential Equations

Existence of solutions of boundary value problems for nonlinear ordinary differential equations

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

Interval oscillation criteria for a class of ordinary differential equations

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

Several Ordinary Differential Equations Applying Variable Substitution

Multiple Positive Solutions of Two-Point Boundary Value Problem of Four-Order Ordinary Differential Equations in Banach Space

Some Algebraic Criteria of the Stability of Large Linear Ordinary Differential System with Variable Coefficients

Existence and uniqueness of the solution of terminal value problem for first-order ordinary differential equation in Banach space

Positive Solutions of a Fourth-order Ordinary Differential Equation

Existence of Positive Solution of Boundary Value Problems for Ordinary Differential Equations

A Second Boundary Value Problems of Nonlinear Ordinary Differential Equations across resonance

Global Asymptotic Stability of the Solution of A Class of the Third Order Nonlinear Ordinary Differential Equations

The existence of solutions for multi-point boundary value problem for ordinary differential equation of second order

Existence theorem of periodic solutions for a class of ordinary differential systems

Solution of Two - order Nonlinear Ordinary Differential Equations by First Integral

Numerical Solution for a System of Singularly Perturbed Ordinary Differential Equation

The Special Solution Formula of A Third Order Ordinary Differential Equation

High Order Approximations for the Fractional Ordinary Differential Equation with Initial Value Problem

General Solution to One Kind of Systems of Ordinary Differential Equation with Constant Coefficients

The global existence of sample solutions of stochastic ordinary differential equations

Dead Core Problem for a Class of Second Order Nonlinear Ordinary Differential Equations

The Particular Solution of n-th order General Inhomogeneous Linear Ordinary Differential Equation with Constant Coefficient

Extremal Solutions of Nonlinear Ordinary Differential Equations with Discontinuous Terms

Course construction and reform characteristics of ordinary differential equations

Stability of Bounded Variation Solutions to Homogeneous Linear Ordinary Differential Equations

Existence Theorem of a Class of High-order Ordinary Differential Equations

The Asymptotic Representation of a Kind of the Nonlinear Ordinary Differential Equations

The existence of solution of boundary value problem for third order ordinary differential equations

Applying ADM mechanization for solving nonlinear boundary value problem of ordinary differential equation in reaction engineering

Application of Jordan Canonical Form to Nonhomogeneous Linear Ordinary Differential Equations

Numerical Solution of Ordinary Differential Equations: for Classical, Relativistic and Nano Systems

The Parameter Solution of One Kind of Ordinary Differential Equation and Its Application

The new integral form of non-linear ordinary differential equation

On the Accelerative Convergence of Discretized Waveform Method for Solving Ordinary Differential Systems

Positive Solutions of Boundary Value Problems for Systems of Nonlinear Second Order Ordinary Differential Equations

Asymptotic Solutions of Boundary Value Problems for Third Order Ordinary Differential Equations With Turning Points

Inhomogeneous linear ordinary differential equation

Course Set-up for Ordinary Differential Equation for Undergraduates

Existence and Multiplicity of Positive Solutions of Nonlinear Second Order Ordinary Differential Systems

Positive Solutions of Boundary Value Problems of Nonlinear Singular Ordinary Differential Equation

Solutions for Several Classes of Linear Ordinary Differential Equations with Variable Coefficients

Existence and Uniqueness of Solutions for Initial Value Problems of Second Order Ordinary Differential Equations in Banach Space

Polygonal Line Approximations of the Solution to Ordinary Differential Equation

Some discussion for numerical solution of initial value problem of an ordinary differential equation

On existence of solutions for implicit ordinary differential equations in Banach spaces

Solving boundary value problem in ordinary differential equation with the same method for solving initial value problem

Superconvergence of Discontinuous Finite Elements for Initial Value Problem of Ordinary Differential Equation

Positive Periodic Solutions of Nonlinear Second Order Ordinary Differential Equations

Application of second order nonlinear ordinary differential equation to production function

Efficient Method to Solve a Species of Boundary-value Problems with Second Order Nonlinear Ordinary Differential Equations

Generalizations and Applications of Mean Value Theorems for Integral to Ordinary Differential Equation

An existence theorem of three-point boundary value problem for second-order nonlinear ordinary differential equations

An Improvement on Interval Criteria of Oscillation of Second - order Linear Ordinary Differential Equations

Generalized global solutions on initial value problems for ordinary differential equations in Banach spaces

Bifurcation Theory of Ordinary Differential Equations

Complex eigenvalue problem with parameters for stiff ordinary differential equations

Existence and uniqueness of solutions for initial value problem of ordinary differential discontinuous equations in banach space

Criterion Conditions of Ordinary Differential Equation System Accepting One-Parameter Lie Group

Oscillations of higher order nonlinear ordinary differential equation with impulses

The Solution's Structure of a Type of Ordinary Differential Equation System with Closed Right Boundary Conditions

Positive Solutions of Periodic Boundary Value Problems for First Order Ordinary Differential Systems

Numerical Method of Turning Point of Second Nonlinear Ordinary Differential Equations with Constraints

Designation of Parallel Algorithms for Ordinary Differential Equations

Matrix problem in partial stability theory of ordinary differential equation

A Class of Positive Coefficient Ordinary Differential Operators with Middle Deficiency Indexes

The CAI Teaching of a First-order Ordinary Differential Equation

A Proposal of a New Numeric Solution of Ordinary Differential Equation

Solution Formula of Homogeneous Ordinary Differential Equations

Impulsive Stabilization of Ordinary Differential Systems

The Application of Numerical Solution to Stiff Ordinary Differential Equations in Chemical Dynamics

Positive solutions for second order ordinary differential equation m-point boundary value problems

Solution of Ordinary Differential Equation for Nonlinear Dynamics Analysis of Structure

Numerical Methods for Multi-terms Fractional-Order Ordinary Differential Equation

Parallel Algorithms and Convergence for One Order Ordinary Differential Equations

Oscillations of Second-Order Linear Ordinary Differential Equations with Impulses

Reform and Practice in Teaching Ordinary Differential Equations to Undergraduates

Geometric Theory of Ordinary Differential Equations

The Prediction and Its Model of Grey Non-Linear Ordinary Differential Equation

Eigenvalue problems for ordinary differential equations

Periodic solutions of higher order linear neutral type ordinary differential equations

Boundary Value Problems of Quasi-linear Ordinary Differential Equations on the Semi-infinite Interval

The upper and lower solution method of nonlocal problem for the first order ordinary differential equation

Positive solutions for higher order ordinary differential equation with boundary

Basic Sets of Solutions of Nonhomogeneous Linear Ordinary Differential Equations

The error analysis of numerical methods for a kind of highly-oscillatory ordinary differential equations

On the Asymptotic Behaviour of Solutions of Certain Fifth-Order Ordinary Differential Equations

Series Solutions of Linear Ordinary Differential Equation at Singular Point by Infinite Order Matrix

Positive Solutions of Boundary Value Problems for System of Nonlinear Second Order Ordinary Differential Equations

A Class of Singular Boundary Value Problems for Quasilinear Ordinary Differential Equation

Asymptotic Methods for Ordinary Differential Equations

A class of linear multistep method for solving initial value problems of ordinary differential equations

Effective solution method for the first-order ordinary differential equation system

The Arithmetic and Solution of Initial Value Problems of First-order Ordinary Differential Equation

On Bifurcations of an Ordinary Differential Equation

Global solutions for initial value problems of ordinary differential equation in Banach spaces

New method for solving a class of nonlinear ordinary differential equation in reproducing kernel spaces

One Kind of Time-varying Sublinear Ordinary Differential Equations

On Existence Theorem of Solution for Implicit Ordinary Differential Equation in Banach Spaces

Experimental Study on the Parallel Evolutionary Modeling of System of Ordinary Differential Equations

On the Solution to the Applied Problems of the Ordinary Differential Equation

On the Method of OperatorSolutions of the Linear Ordinary Differential Equations with Constant Coefficient

Positive Solutions of Forth Ordinary Differential Equations

The Transformation Method to Ordinary Differential Equation

An Adaptive Wavelet Technique for Ordinary Differential Equations

The Oscillation of Second Order Half- linear Ordinary Differential Equations

Analysis On The Inductions Of The Ordinary Differential Equation

Continuous Finite Element Method for Initial Value Problem of Ordinary Differential Equation

Ordinary Differential Equations and the Roots of the Algebraic Equations

The mathematical thought and methods in ordinary differential equation

Evolutionary Modeling Algorithm for Systems of Ordinary Differential Equations Based on Mind Evolutionary Computation

Nontrivial solution and dead core problem of nonlinear ordinary differential equations

Application of Ordinary Differential Equation

Analysis and comparison of some numerical methods for the initial value problem of ordinary differential equations

On the Existence and Solvability of Initial Value Problem of Ordinary Differential Equations in Banach Spaces

Theory of Ordinary Differential Equations

On the Spectra of Some Ordinary Differential Operators with Negative Exponential Coefficients

Theorems of Solving Three New Types of Higher DegreeNonlinear Ordinary Differential Equations

Handbook of Exact Solutions for Ordinary Differential Equations

One New Fourth Order Three Point Single Step Rule for Solving Ordinary Differential Equations

Apply MATLAB Symbol Toolbox to Solve Ordinary Differential Equations by Program

Several existence results of some nonlinear third-order ordinary differential equations

The Digital Solution of Ordinary Differential Equation and the Realization in Computer

A Note on Changing Constant in Linear Ordinary Differential Equation of the First Order

Explicit One-step Method for Solving Ordinary Differential Equation

Two Notes on Singular Solution and Envelope of Ordinary Differential Equation

Periodic Boundary Value Problems for the Third Order Nonlinear Ordinary Differential Equations

A Note on Boundary Value Problems of Fourth-Order Ordinary Differential Equations

Periodic Solution of Ordinary Differential System

A Numerical Method for Solving Ordinary Differential Equations by Using Neural Network

The direction field of a first-order ordinary differential equation in CAI

Some Solving Processes of n-Order Ordinary Differential Equations

A Discussion on the Elementary Solution to a Kind of Ordinary Differential Equations

Solutions for Initial Value Problems of One Order System of Ordinary Differential Equations in Banach Space

Linear ordinary differential equation of first order

Notes on Teaching of Ordinary differential equations

Sensitivity Analysis Based on Ordinary Differential Equations of Motion in Multibody System Dynamics

An Analysis of Typical Cases in Ordinary Differential Equation

Initial value problem of ordinary differential equation

Qualitative Theory of ordinary Differential Equati ons

The analytic method for initial value problem of system of first order ordinary differential equations

Positive Solutions to Some Nonlinear Eigenvalue Problems of Third-Order Ordinary Differential Equations

A Method of Solving a Class of Nonlinear Ordinary Differential Equation

A new integrable type of ordinary differential equation

system of ordinary differential equations

A Single Step Scheme for Ordinary Differential Initial Problem of Second Order

An investigation on method of predigesting a kind of ordinary differential equation

The Sufficient Condition of Integrability for Some Kinds of Nonlinear Ordinary Differential Equations