Laplacian Dynamic Equations Research Articles

Triple positive solutions of three-point boundary value problems for [formula omitted]-Laplacian dynamic equations on time scales

In this paper, we present sufficient conditions for the existence of at least three positive solutions of three-point boundary value problems for p -Laplacian dynamic equations on a time scale. To show our main results, we apply a new fixed point theorem due to Avery and Peterson [Three positive fixed points of nonlinear operators on ordered Banach spaces, Comput. Math. Appl. 42 (2001) 313–322].

Multiple positive solutions for the one-dimensional [formula omitted]-Laplacian dynamic equations on time scales

The five functionals fixed-point theorem is applied to investigate the existence of at least three positive solutions of boundary value problems for the one-dimensional p -Laplacian dynamic equations on time scales. As an application, two examples are given to illustrate the main results in this paper.

Double positive solutions of three-point boundary value problems for [formula omitted]-Laplacian dynamic equations on time scales

A new double fixed-point theorem is applied to investigate the existence of at least double positive solutions of three-point boundary value problems for p -Laplacian dynamic equations on a time scale.