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Multiplicity results of positive solutions for fourth-order nonlinear differential equation with singularity.

Authors :
Cheng, Zhibo
Ren, Jingli
Source :
Mathematical Methods in the Applied Sciences; Dec2015, Vol. 38 Issue 18, p5284-5304, 21p
Publication Year :
2015

Abstract

By application of Green's function and some fixed-point theorems, that is, Leray-Schauder alternative principle and Schauder's fixed-point theorem, we establish two newexistence results of positive periodic solutions for nonlinear fourthorder singular differential equation, which extend and improve significantly existing results in the literature. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
38
Issue :
18
Database :
Complementary Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
112038186
Full Text :
https://doi.org/10.1002/mma.3481