A new variational method for thep(x)-Laplacian equation

The variational iteration method for solving Nagumo telegraph equation

the variational iteration method for solving nagumo telegraph equation

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 iterative method for variational inequalities

It is well known that the variational inequalities are equivalent to the fixed point problems. Using this equivalence, we suggest and consider a new three-step iterative method for solving variational inequalities. The new iterative method is obtained by using three steps under suitable conditions. We prove that the new method is globally convergent. Our results can be viewed as significant ext...

Existence of a positive solution for a p-Laplacian equation with‎ ‎singular nonlinearities

‎In this paper‎, ‎we study a class of boundary value problem‎ ‎involving the p-Laplacian oprator and singular nonlinearities‎. ‎We‎ ‎analyze the existence a critical parameter $lambda^{ast}$ such‎ ‎that the problem has least one solution for‎ ‎$lambdain(0,lambda^{ast})$ and no solution for‎ ‎$lambda>lambda^{ast}.$ We find lower bounds of critical‎ ‎parameter $lambda^{ast}$‎. ‎We use the method ...