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arXiv · 2205.02322

Existence of positive solutions of a Hammerstein integral equation using the layered compression-expansion fixed point theorem

Sougata Dhar·Jeffrey W. Lyons·Jeffrey T. Neugebauer
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Abstract

In this paper, we show the existence of a positive solution of a Hammerstein integral equation under certain conditions on the kernel. We apply the recent Layered Compression-Expansion Fixed Point Theorem. Finally, we provide corollaries to help in application of the main results and present an example.

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Sougata Dhar, Jeffrey W. Lyons, Jeffrey T. Neugebauer. 2022-05-04. Existence of positive solutions of a Hammerstein integral equation using the layered compression-expansion fixed point theorem. https://arxiv.org/abs/2205.02322

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