Europe PMC

Research on a Class of First-Order Nonlinear Nonhomogeneous Variable Coefficient Ordinary Differential Equations Based on Elastic Transformation

This paper mainly studies the problem of solving a class of first-order nonlinear non-homogeneous ordinary differential equations with variable coefficients， which can be transformed into solvable ...
JSTOR Daily

Oscillation of First-Order Nonlinear Differential Equations with Deviating Arguments

This paper is devoted to the study of the oscillatory behavior of solutions of the first-order nonlinear functional differential equations \begin{equation*}\begin ...
JSTOR Daily

Oscillation Criteria for First-Order Nonlinear Differential Equations with Several Delays

In this article, we study a first order nonlinear delay differential equation x'( t )+ ∑ i=1 m p i ( t ) f i ( x( τ i ( t ) ) )=0, t≥ t 0 , where pi(t) and τi(t) are the functions of nonnegative of ...
Scientific Research Publishing

Abbasi, N.M. (2009) Solving the Van Der Pol Nonlinear Differential Equation Using First Order Approximation Perturbation Method.

ABSTRACT: In this research work, Homotopy perturbation method (HPM) is applied to find the approximate solution of the Van der Pol Differential equation (VDPDE), which is a well-known nonlinear ODE.