Using an Integrating Factor to Transform a Second Order BVP to a Fixed Point Problem

Richard I. Avery (), Douglas R. Anderson () and Johnny Henderson ()
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Richard I. Avery: Dakota State University
Douglas R. Anderson: Concordia College
Johnny Henderson: Baylor University

A chapter in Mathematical Analysis in Interdisciplinary Research, 2021, pp 101-108 from Springer

Abstract: Abstract Using an integrating factor, a second order boundary value problem is transformed into a fixed point problem. We provide growth conditions for the existence of a fixed point to the associated operator for this transformation and conclude that the index of the operator applying the standard Green’s function approach is zero; this does not guarantee the existence of a solution, demonstrating the value and potential for this new transformation.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-84721-0_7

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DOI: 10.1007/978-3-030-84721-0_7

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