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Multiplicity of positive solutions of even-order nonhomogeneous boundary value problems.

机译：偶数阶非齐次边值问题的正解的多重性。

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摘要

In this work, we discuss multiplicity results for nonhomogeneous even-order boundary value problems on both discrete and continuous domains. We develop a method for establishing existence of positive solutions by transforming even-order problems into a series of second order problems satisfying homogeneous boundary conditions. We then construct a sequence of lemmas which give contraction and expansion relationships within a cone. This allows us to apply the Guo-Krasnosel'skii Fixed Point Theorem which, in turn, guarantees several positive solutions.

机译：在这项工作中，我们讨论了离散域和连续域上非均匀偶数阶边值问题的多重性结果。我们开发了一种通过将偶数级问题转换为一系列满足齐次边界条件的二阶问题来建立正解存在性的方法。然后，我们构造一系列引理，这些引理给出一个圆锥体内的收缩和膨胀关系。这使我们能够应用Guo-Krasnosel'skii不动点定理，从而保证了几种肯定的解决方案。

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作者
Hopkins, Britney.;
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作者单位

Baylor University.;

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授予单位 Baylor University.;
学科 Mathematics.
学位 Ph.D.
年度 2009
页码 85 p.
总页数 85
原文格式 PDF
正文语种 eng
中图分类数学;
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Multiplicity of positive solutions of even-order nonhomogeneous boundary value problems.

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