ordinary differential equations

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

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

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

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.

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

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.

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.

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

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

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

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

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

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

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

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

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 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

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

Interval oscillation criteria for a class of ordinary differential equations

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

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

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

The global existence of sample solutions of stochastic ordinary differential equations

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

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

Application of Jordan Canonical Form to Nonhomogeneous Linear Ordinary Differential Equations

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

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

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

Positive Periodic Solutions of Nonlinear Second Order Ordinary Differential Equations

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

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

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

Designation of Parallel Algorithms for Ordinary Differential Equations

Solution Formula of Homogeneous Ordinary Differential Equations

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

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

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

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

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

Asymptotic Methods for Ordinary Differential Equations

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

One Kind of Time-varying Sublinear Ordinary Differential Equations

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

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

Positive Solutions of Forth Ordinary Differential Equations

An Adaptive Wavelet Technique for Ordinary Differential Equations

The Oscillation of Second Order Half- linear Ordinary Differential Equations

Ordinary Differential Equations and the Roots of the Algebraic Equations

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

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

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

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

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

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

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

Notes on Teaching of Ordinary differential equations

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

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

system of ordinary differential equations

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