Existence of three positive solutions for some second-order boundary value problems

Authors:
Zhanbing Bai;Weigao Ge
Affiliations:
Department of Applied Mathematics, University of Petroleum Dongying 257061, P.R. China and Department of Applied Mathematics, Beijing Institute of Technology Beijing 100081, P.R. China;-
Venue:
Computers & Mathematics with Applications
Year:
2004

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Abstract

In this paper, a new fixed-point theorem of functional type in a cone is established. With using the new fixed-point theorem and imposing growth conditions on the nonlinearity, the existence of three positive solutions for the boundary value problemx^''(t)+f(t,x(t),x^'(t))=0,0 [0, ~) is continuous. Finally, an example is given to illustrate the importance of results obtained.