POSITIVE SOLUTIONS FOR A THREE-POINT FRACTIONAL BOUNDARY VALUE PROBLEMS FOR P-LAPLACIAN WITH A PARAMETER

- Journal title : Journal of applied mathematics & informatics
- Volume 34, Issue 3_4, 2016, pp.269-284
- Publisher : The Korean Society of Computational and Applied Mathematics
- DOI : 10.14317/jami.2016.269

Title & Authors

POSITIVE SOLUTIONS FOR A THREE-POINT FRACTIONAL BOUNDARY VALUE PROBLEMS FOR P-LAPLACIAN WITH A PARAMETER

YANG, YITAO; ZHANG, YUEJIN;

YANG, YITAO; ZHANG, YUEJIN;

Abstract

In this paper, we firstly use Krasnosel`skii fixed point theorem to investigate positive solutions for the following three-point boundary value problems for p-Laplacian with a parameter $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+{\lambda}f(t, u(t))

Keywords

Positive solution;Fractional boundary value problem;Parameter;Leggett-Williams fixed point theorem;

Language

English

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