Existence of solutions to a system of fractional three-point boundary value problem at resonance

Rongpu Sun and Zhanbing Bai

Applied Mathematics and Computation, 2024, vol. 470, issue C

Abstract: In this article, the existence of solutions to a system of fractional three-point boundary value problem at resonance is investigated. By introducing the Moore-Penrose generalized inverse matrix to construct projectors in Rn, which effectively relaxes conditions of the matrix in the boundary value conditions. The main result is established by utilizing the coincidence degree theorem of Mawhin.

Keywords: System of boundary value problem; Coincidence degree; Moore-Penrose generalized inverse matrix; Resonance (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:470:y:2024:i:c:s0096300324000481

DOI: 10.1016/j.amc.2024.128576

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