On the Solvability of a Resonant Third‐Order Integral m‐Point Boundary Value Problem on the Half‐Line

O. F. Imaga, J. G. Oghonyon and P. O. Ogunniyi

Abstract and Applied Analysis, 2021, vol. 2021, issue 1

Abstract: In this work, the existence of at least one solution for the following third‐order integral and m‐point boundary value problem on the half‐line at resonance ρtu′t″=wt,ut,u′t,u″t,t∈0,∞,u0=∑j=1m αj∫0ηj utdt,u′0=00,limt⟶∞ρtu′t′=, will be investigated. The Mawhin’s coincidence degree theory will be used to obtain existence results while an example will be used to validate the result obatined.

Date: 2021
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https://doi.org/10.1155/2021/8870108

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2021:y:2021:i:1:n:8870108

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