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

Jianxin Cao; Haibo Chen

doi:10.1117/12.920176

13 January 2012 Positive solutions of singular integro-differential equations at resonance in Banach spaces

Jianxin Cao, Haibo Chen

Proceedings Volume 8349, Fourth International Conference on Machine Vision (ICMV 2011): Machine Vision, Image Processing, and Pattern Analysis; 83492H (2012) https://doi.org/10.1117/12.920176
Event: Fourth International Conference on Machine Vision (ICMV 11), 2011, Singapore, Singapore

Abstract

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.

Citation Download Citation

Jianxin Cao and Haibo Chen "Positive solutions of singular integro-differential equations at resonance in Banach spaces", Proc. SPIE 8349, Fourth International Conference on Machine Vision (ICMV 2011): Machine Vision, Image Processing, and Pattern Analysis, 83492H (13 January 2012); https://doi.org/10.1117/12.920176

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