Existence of Solutions for a Four-Point Boundary Value Problem with a $p(t)$-Laplacian

Existence of Solutions for a Four-Point Boundary Value Problem with a $p(t)$-Laplacian

Year:    2015

Author:    Yuanxiao Li, Wenjie Gao, Wenjing Song

Communications in Mathematical Research , Vol. 31 (2015), Iss. 1 : pp. 23–30

Abstract

This paper deals with the existence of solutions to the $p(t)$-Laplacian equation with four-point boundary conditions. It is shown, by Leray-Schauder fixed point theorem and degree method, that under suitable conditions, solutions of the problem exist. The interesting point is that $p(t)$ is a general function.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2015.01.03

Communications in Mathematical Research , Vol. 31 (2015), Iss. 1 : pp. 23–30

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    $p(t)$-Laplacian four-point boundary condition fixed point theorem Leray-Schauder degree method.

Author Details

Yuanxiao Li

Wenjie Gao

Wenjing Song