Variational approach to impulsive differential system

Variational Approach to Impulsive Differential Equations with Dirichlet Boundary Conditions

We study the existence of n distinct pairs of nontrivial solutions for impulsive differential equations with Dirichlet boundary conditions by using variational methods and critical point theory.

Variational approach to a class of impulsive differential equations

Application of He’s Variational Iteration Method to Abelian Differential Equation

In this paper, He’s variational iteration method (VIM) is used to obtain approximate analytical solutions of the Abelian differential equation. This method is based on Lagrange multipliers for identification of optimal values of parameters in a functional. Using this method creates a sequence which tends to the exact solution of problem. The method is capable of reducing the size of calculation...

A New Approach to Stability of Impulsive Differential Equations

In this work, new approach to stability theory of impulsive differential equations is proposed. Instead of putting all components of the state variable x in one Liapunov function, several functions of partial components of x, which can be much easier constructed, are used so that the conditions ensuring that stability are simpler and less restrictive. Also, an example is given to illustrate the...

An Application of Variational Methods to Second-order Impulsive Differential Equation with Derivative Dependence

In this article, we study the existence of solutions for nonlinear impulsive problems. We show the existence of classical solutions by using variational methods.