论文信息 - Positive solutions of singular integro-differential equations at resonance in Banach spaces

Positive solutions of singular integro-differential equations at resonance in Banach spaces

This paper deals with three-point boundary value problem for singular integro-differential equations at resonance in Banach spaces. Using a specially constructed cone and fixed point theory of strict-set-contraction operators, we obtain some new sufficient conditions of the existence and multiplicity of positive solution.

Haibo Chen | Jianxin Cao | Haibo Chen | Jianxin Cao

[1] Bing Liu,et al. Positive solutions of a nonlinear four-point boundary value problems in Banach spaces , 2005 .

[2] V. Lakshmikantham,et al. Nonlinear Integral Equations in Abstract Spaces , 1996 .

[3] W. Ames,et al. Nonlinear problems in abstract cones , 1988 .

[4] V. Lakshmikantham,et al. Nonlinear differential equations in abstract spaces , 1981 .

[5] A. Potter. A fixed point theorem for positive k-set contractions , 1974, Proceedings of the Edinburgh Mathematical Society.

[6] Xiaoling Han. Positive solutions for a three-point boundary value problem at resonance , 2007 .