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POSITIVE SOLUTIONS OF THE SECOND-ORDER SYSTEM OF DIFFERENTIAL EQUATIONS IN BANACH SPACES  

Cao, Jianxin (Department of mathematics, Central South University)
Chen, Haibo (Department of mathematics, Central South University)
Deng, Jin (Faculty of Science, Hunan Institute of Engineering)
Publication Information
Journal of applied mathematics & informatics / v.28, no.5_6, 2010 , pp. 1445-1460 More about this Journal
Abstract
In this paper, a second-order system of multi-point boundary value problems in Banach spaces is investigated. Based on a specially constructed cone and the fixed point theorem of strict-set-contraction operators, the criterion of the existence and multiplicity of positive solutions are established. And two examples demonstrating the theoretic results are given.
Keywords
Banach spaces; system of Boundary value problems; Positive solutions; Strict-set-contraction; Fixed point theorems;
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