Existence of Positive Solutions for Higher Order Boundary Value Problem on Time Scales

Existence of Positive Solutions for Higher Order Boundary Value Problem on Time Scales

Year:    2013

Author:    Dapeng Xie, Yang Liu, Mingzhe Sun

Communications in Mathematical Research , Vol. 29 (2013), Iss. 1 : pp. 1–13

Abstract

In this paper, we investigate the existence of positive solutions of a class higher order boundary value problems on time scales. The class of boundary value problems educes a four-point (or three-point or two-point) boundary value problems, for which some similar results are established. Our approach relies on the Krasnosel'skii fixed point theorem. The result of this paper is new and extends previously known results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-CMR-19023

Communications in Mathematical Research , Vol. 29 (2013), Iss. 1 : pp. 1–13

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    higher order boundary value problem positive solution semipositone on time scale fixed point.

Author Details

Dapeng Xie

Yang Liu

Mingzhe Sun