算子方程Lx=Nx 的正解

Abstract

Abstract:

In this paper, the concept about coincidence degree is generalized to the zero point index of L-N operators in cones. Some methods of computation of the zero point index and the existence theorems of operator equations
are given by making use of the theory of cones and applied to investigate the existence of nonnegative solutions for the second order ordinary differential equation of m-point nonlocal boundary value problems at resonance.

Key words: Zero point index, Fredholm operators, Cone, Boundary value problems, Resonance

CLC Number:

34B15

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WANG Feng, SUN Jing-Xian, CUI Yu-Jun. Positive Solutions of a Class of Operator Equations Lx=Nx[J].Acta mathematica scientia,Series A, 2010, 30(1): 278-288.

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References

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Positive Solutions of a Class of Operator Equations Lx=Nx

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