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Existence of positive solutions for boundary value problem of third-order differential equations of with p-Laplacian.

Authors :
GUO Yanping
LI Chunjing
HAN Yingying
Source :
Journal of Hebei University of Science & Technology; Dec2014, Vol. 35 Issue 6, p524-528, 5p
Publication Year :
2014

Abstract

Many researches on the fields of different applied mathematics and physics can be attributed to the boundary value problem with p-Laplacian. So the research on this issue has important theoretical significance and application value. In this paper, we consider the existence of triple positive solutions for third-order differential equation boundary value problems with p-Laplacian ... where φ<subscript>p</subscript>(s) = |s|<superscript>p-2</superscript> s, p > 1. By using Avery-peterson's fixed point theorem, under f satisfies certain growth conditions, we study the existence of at least three positive solutions for the above boundary value problem. [ABSTRACT FROM AUTHOR]

Details

Language :
Chinese
ISSN :
10081542
Volume :
35
Issue :
6
Database :
Complementary Index
Journal :
Journal of Hebei University of Science & Technology
Publication Type :
Academic Journal
Accession number :
100280627
Full Text :
https://doi.org/10.7535/hbkd.2014yx05001