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Existence of non-trivial solution for superlinear system of integral equations and its applications

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Abstract

In this paper, we use cone theory and topological degree theory to study superlinear system of integral equations, and obtain existence theorems for non-trivial solutions; moreover, we apply the results to two-point boundary problems of ordinary differential system of equations.

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This work is supported by the Postdoctoral Foundation of China.

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Zhitao, Z. Existence of non-trivial solution for superlinear system of integral equations and its applications. Acta Mathematicae Applicatae Sinica 15, 153–162 (1999). https://doi.org/10.1007/BF02720490

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  • DOI: https://doi.org/10.1007/BF02720490

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