This paper concerns the existence and multiplicity of positive solutions to the nonresonant second-order boundary-value problem
We are interested in the operator when is in for . Our arguments are based on fixed point theorems in a cone and Holder's inequality. The nonexistence of positive solutions is also studied.
Submitted November 28, 2006. Published January 27, 2007.
Math Subject Classifications: 34B15.
Key Words: Positive solution; fixed point theorem; existence; complete continuity.
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| Xuemei Zhang |
Department of Mathematics and Physics
North China Electric Power University
Beijing 102206, China
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