Existence and uniqueness of positive solutions for a third-order three-point problem on time scales

Huiye Xu, North University of China, Taiyuan, Shanxi, P. R. China

E. J. Qualitative Theory of Diff. Equ., No. 56. (2010), pp. 1-12.

Abstract: In this paper, a class of third-order three-point boundary value problem on time scales is considered. Using monotone iterative technique and cone expansion and compression fixed point theorem of norm type, we do not only obtain the existence and uniqueness of positive solutions of the problem, but also establish the iterative schemes for approximating the solutions.

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