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Positive Solutions for Second Order Singular Boundary Value Problems with Derivative Dependence on Infinite Intervals.

Authors :
Baoqiang Yan
Donal O’Regan
Ravi Agarwal
Source :
Acta Applicandae Mathematicae. Aug2008, Vol. 103 Issue 1, p19-57. 39p.
Publication Year :
2008

Abstract

Abstract  The existence of at least one positive solution and the existence of multiple positive solutions are established for the singular second-order boundary value problem $$\left\{\begin{array}{l}{\frac{1}{p(t)}(p(t)x'(t))'}+\Phi(t)f(t,x,px')=0,\quad 0 using the fixed point index, where f may be singular at x=0 and px′=0. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01678019
Volume :
103
Issue :
1
Database :
Academic Search Index
Journal :
Acta Applicandae Mathematicae
Publication Type :
Academic Journal
Accession number :
33055114
Full Text :
https://doi.org/10.1007/s10440-008-9218-2