TWO POINT BOUNDARY VALUE PROBLEMS FOR THE STURM-LIOUVILLE EQUATION WITH HIGHLY DISCONTINUOUS NONLINEARITIES

Existence of multiple solutions for Sturm-Liouville boundary value problems

In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved and by presenting one example, we ensure the applicability of our results.

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation

Eigenvalues of Sturm-liouville Problems with Discontinuous Boundary Conditions

For classical regular two-point self-adjoint Sturm-Liouville problems (SLP) the dependence of the eigenvalues on the boundary conditions is well understood because of some surprisingly recent results. Recently there has been a lot of interest in problems with discontinuous boundary conditions. Such conditions are known by various names including transmission conditions, interface conditions, po...

Lecture 28: Sturm-Liouville Boundary Value Problems

In this lecture we abstract the eigenvalue problems that we have found so useful thus far for solving the PDEs to a general class of boundary value problems that share a common set of properties. The so-called Sturm-Liouville Problems define a class of eigenvalue problems, which include many of the previous problems as special cases. The S − L Problem helps to identify those assumptions that ar...

Homotopy Perturbation Method for Computing Eigenelements of Sturm-Liouville Two Point Boundary Value Problems

Recently a great deal of interest has been focused on the application of HPM for the solution of many different problems. The technique has been applied with great success to obtain the solution of a large variety of nonlinear problems in both ordinary and partial differential equations and integro-differential equations[1-10]. In this work we apply HPM to approximate eigenvalues and eigenfunct...