The existence of infinitely many solutions is established for a class of nonlinear functionals involving the p-biharmonic operator with nonhomoge- neous Neumann boundary conditions. Using a recent critical-point theorem for nonsmooth functionals and under appropriate behavior of the nonlinear term and nonhomogeneous Neumann boundary conditions, we obtain the result.

In chemical engineering, deflection of beams and other area of engineering the two point boundary value problems with Neumann and mixed Robbin's boundary conditions have great importance. It is not easy task to solve numerically such type of problems. In this study a B-spline finite element has been introduced to get the solution of two point boundary value problem. Some test examples are ...

Abstract:The two point boundary value problems with Neumann and mixed Robbin’s boundary conditions have great importance in chemical engineering, deflection of beams etc. It is not easy task to solve numerically such type of problems. In this paper, Galerkin-finite element method is proposed for the numerical solution of the boundary value problem having mixed Robbin’s and Dirichlet’s condition...

We consider singularly perturbed reaction-diffusion equations with singularly perturbed Neumann boundary conditions. We establish the existence of a time-periodic solution u(x, t, ε) with boundary layers and derive conditions for their asymptotic stability The boundary layer part of u(x, t, ε) is of order one, which distinguishes our case from the case of regularly perturbed Neumann boundary co...