Triple positive solutions to third order three-point BVP with increasing homeomorphism and positive homomorphism

Authors:
Yuming Wei
Affiliations:
Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China and School of Mathematical Science, Guangxi Normal University, Guilin 541004, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

In this paper, we investigate the existence of triple positive solutions for nonlinear differential equations boundary value problems with increasing homeomorphism and positive homomorphism operator. By using fixed point theorems in cones, we establish results on the existence of three positive solutions with suitable growth conditions imposed on the nonlinear term. As applications, two examples are given to demonstrate our result. The conclusions in this paper essentially extend and improve the known results.