in this paper, he's highly prolic variational iteration method is applied ef-fectively for showing the existence, uniqueness and solving a class of singularsecond order two point boundary value problems. the process of nding solu-tion involves generation of a sequence of appropriate and approximate iterativesolution function equally likely to converge to the exact solution of the givenpr...

Given a reaction-diffusion system which exhibits Turing’s diffusion-driven instability, we study the influence of unilateral obstacles of opposite sign on bifurcation and critical points. The approach is based on a variational approach to a non-variational problem which even after transformation to a variational problem has an unusual structure for which usual variational methods do not apply.

The fractional variational calculus is a recent fifield, where classical problems are considered, but in the presence of derivatives. Since there several defifinitions derivatives, it logical to think different types optimality conditions. For this reason, order solve problems, two theorems necessary conditions well known: an Euler-Lagrange equation which involves Caputo and Riemann-Liouville o...

We propose a new variational problem which we call the Split Variational Inequality Problem (SVIP). It entails …nding a solution of one Variational Inequality Problem (VIP), the image of which under a given bounded linear transformation is a solution of another VIP. We construct iterative algorithms that solve such problems, under reasonable conditions, in Hilbert space and then discuss special...