Two-point right focal eigenvalue problems on time scales

Positive Solutions of Two-point right focal boundary value problems on time scales

Second-Order Nonlinear Three Point Boundary-Value Problems on Time Scales

We consider a second order three point boundary value problem for dynamic equations on time scales and establish criteria for the existence of at least two positive solutions of an eigenvalue problem by an application of a fixed point theorem in cones. Existence result for non-eigenvalue problem is also given by the monotone method.

Research Article Positive Solutions for Two-Point Semipositone Right Focal Eigenvalue Problem

Existence and Uniqueness of a Nontrivial Solution for Second Order Nonlinear m-Point Eigenvalue Problems on Time Scales

In this paper, by introducing a new operator, improving and generating a p-Laplace operator for some p ≥ 2, we study the existence and uniqueness of a nontrivial solution for nonlinear m-point eigenvalue problems on time scales. We obtain several sufficient conditions of the existence and uniqueness of nontrivial solution of the eigenvalue problems when λ is in some interval. Our approach is ba...

SECOND-ORDER n-POINT EIGENVALUE PROBLEMS ON TIME SCALES