The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

Nontrivial Solutions of Singular Superlinear Three-point Boundary Value Problems at Resonance


Feng Wang, Fang Zhang

School of Mathematics and Physics,
Changzou University,
Changzhou, 213164,


The singular superlinear second order three-point boundary value problems at resonance

are considered under some conditions concerning the first eigenvalues corresponding to the relevant linear operators, where n ∈ (0,1) is a constant, f is allowed to be singular at both t=0 and t=1. The existence results of nontrivial solutions are given by means of the topological degree theory.

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