Existence of Positive Solutions for Singular Fourth Order Coupled System with Sign Changing Nonlinear Terms
Year: 2013
Author: Tian Xia, Jinglu Gao, Chunling Cao
Communications in Mathematical Research , Vol. 29 (2013), Iss. 2 : pp. 167–178
Abstract
This paper deals with the existence of positive solutions to a singular fourth order coupled system with integral boundary conditions. Since the nonlinear terms $f$, $g$ may change sign or be singular at $t = 0$ or $t = 1$, the authors make a priori estimates to overcome some difficulties and apply Guo-Krasnoselskii fixed point theorem to prove the existence of solutions of the system under suitable assumptions. Finally, some examples to illustrate the main results are given.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-CMR-19021
Communications in Mathematical Research , Vol. 29 (2013), Iss. 2 : pp. 167–178
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: fixed point theorem positive solution integral boundary condition.