Global structure of solutions for a class of two-point boundary value problems involving singular and convex or concave nonlinearities

MULTIPLE SOLUTIONS FOR A CLASS OF p(x)-LAPLACIAN PROBLEMS INVOLVING CONCAVE-CONVEX NONLINEARITIES

Since A. Ambrosetti and P.H. Rabinowitz proposed the mountain pass theorem in 1973 (see [1]), critical point theory has become one of the main tools for finding solutions to elliptic problems of variational type. Especially, elliptic problem (1.2) has been intensively studied for many years. One of the very important hypotheses usually imposed on the nonlinearities is the following Ambrosetti-R...

Sinc-Galerkin method for solving a class of nonlinear two-point boundary value problems

In this article, we develop the Sinc-Galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. Also several examples are solved to show the accuracy efficiency of the presented method. We compare the obtained numerical results with results of the other existing methods in...

Global Structure of Nodal Solutions for Second-Order m-Point Boundary Value Problems with Superlinear Nonlinearities

Application of variational iteration method for solving singular two point boundary value problems

In this paper, He's highly prolic 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 givenproblem w...

Exact Solutions for a Class of Singular Two-Point Boundary Value Problems Using Adomian Decomposition Method

Some of the most common problems in applied sciences and engineering are usually formulated as singular two-point boundary value problems. A well known fact is that the exact solutions in closed form of such problems were not obtained in many cases. In this paper, the exact solutions for a wide class of singular two-point boundary value problems are obtained by using Adomian decomposition method.