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Existence of non-trivial solution for superlinear system of integral equations and its applications
Authors:Zhang Zhitao
Institution:(1) Institute of Mathematics, the Chinese Academy of Sciences, 100080 Beijing, China
Abstract:In this paper, we use cone theory and topological degree theory to study superlinear systemof integral equations, and obtain existence theorems for non-trivial solutions; moreover, we applythe results to two-point boundary problems of ordinary differential system of equations.
Keywords:Cone  topological degree theory  completely continuous operators  superlinear system of equations  non-trivial solution  
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