The existence of countably many positive solutions for nonlinear singular m-point boundary value problems on the half-line

Authors:
Sihua Liang;Jihui Zhang
Affiliations:
Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, 210097, Jiangsu, PR China and College of Mathematics, Changchun Normal University, Changchun 13003 ...;Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, 210097, Jiangsu, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

Citing 3
Cited 1

Positive solution of a problem of Emden-Fowler type with a free boundary

SIAM Journal on Mathematical Analysis
Multiple unbounded solutions of boundary value problems for second-order differential equations on the half-line

Nonlinear Analysis: Theory, Methods & Applications
Existence of multiple positive solutions for nonlinear m-point boundary-value problems

Applied Mathematics and Computation

Existence and iteration of positive solutions for multi-point boundary value problems on a half-line

Computers & Mathematics with Applications

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Abstract

In this paper, by introducing a new operator, improving and generating a p-Laplace operator for some p1, we study the existence of countably many positive solutions for nonlinear boundary value problems on the half-line (@f(u^'))^'+a(t)f(u(t))=0,0R is the increasing homeomorphism and positive homomorphism and @f(0)=0. We show the sufficient conditions for the existence of countably many positive solutions by using the fixed-point index theory and a new fixed-point theorem in cones.