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COMPUTATION OF TOPOLOGICAL DEGREE AND APPLICATIONS TO SUPERLINEAR SYSTEM OF EQUATIONS
拓扑度的计算及其对超线性方程组的应用

Keywords: Computation of the topological degree,superlinear,nontrivial solution
拓扑度计算,超线性方程组,非平凡解

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Abstract:

A new method of computation of the topological degree is given by making use of the theory of cones in this paper.As applications, we study the existence of nontrivial solutions for superlinear system of integral equations and two-point boundary value problem of superlinear system of ordinary differential equations.

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