Banach空间非线性Sturm-Liouville边值问题的正解

Abstract

Abstract:

The existence of the positive solutions to the Sturm-Liouville problem in Banach spaces is discussed in the superlinear or sublinear case by using the fixed point theory of condensing mapping and doing precise computation of measure of noncompactess and using the eigenvalues corresponding to the relevant linear equations.

Key words: Boundary value problem, Measure of noncompactness, Fixed point index, Positive solution

CLC Number:

60F15

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ZHANG Ling-Zhong, LI Yong-Xiang. Positive Solutions |of Nonlinear Sturm-Liouville Boundary |Value Problems in Banach Spaces[J].Acta mathematica scientia,Series A, 2009, 29(3): 784-793.

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References

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Positive Solutions |of Nonlinear Sturm-Liouville Boundary |Value Problems in Banach Spaces

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