非线性共振边值问题的一个抽象方法

Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI:10.12988/NADE.2014.421

D. Maroncelli

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引用次数: 0

摘要

本文给出了共振处非线性边值问题的一个抽象存在性结果。我们的抽象方法为大量微分算子的情况提供了一个一般框架。我们将结合拓扑度理论使用一种替代方法来解决这个问题。数学学科分类:34B15

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An abstract approach to nonlinear boundary value problems at resonance

In this paper we provide an abstract existence result for nonlinear boundary value problems at resonance. Our abstract approach provides a general framework for the situation that occurs for a large class of differential operators. We will approach the problem using an Alternative Method in conjunction with topological degree theory. Mathematics Subject Classification: 34B15

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Nonlinear Analysis and Differential Equations

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