Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces

Authors:
Meiqiang Feng;Dehong Ji;Weigao Ge
Affiliations:
Department of Fundamental Sciences, Beijing Information Technology Institute, Beijing, 100101, PR China and Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, PR ...;Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, PR China;Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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Abstract

This paper investigates the existence and multiplicity of positive solutions for a class of nonlinear boundary-value problem of second-order differential equations with integral boundary conditions in ordered Banach spaces. The arguments are based upon a specially constructed cone and the fixed point theory in a cone for strict set contraction operators. The nonexistence of a positive solution is also studied.