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HIGHER FRACTIONAL ORDER p-LAPLACIAN BOUNDARY VALUE PROBLEM AT RESONANCE ON AN UNBOUNDED DOMAIN

Ojo, Ezekiel K. and Iyase, S.A . and Anake, T. A. (2024) HIGHER FRACTIONAL ORDER p-LAPLACIAN BOUNDARY VALUE PROBLEM AT RESONANCE ON AN UNBOUNDED DOMAIN. Advances in Differential Equations and Control Processes, 31 (1). pp. 61-94.

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Abstract

In this work, we use the Ge and Ren extension of Mawhin’s coincidence degree theory to investigate the solvability of the p-Laplacian fractional order boundary value problem of the form (f ( a ( )))¢ p D0+x t ( , ( ), ( ), ( ), ( ), 0 ( )), (0, ), 1 0 2 0 3 0 = a Î +¥ + a- + a- + a- f t x t D + x t D x

Item Type: Article
Uncontrolled Keywords: Banach spaces, coincidence degree theory, unbounded domain, resonance, p-Laplacian, two-dimensional kernel. *Corresponding author
Subjects: G Geography. Anthropology. Recreation > GA Mathematical geography. Cartography
Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: ORIGHOEYEGHA
Date Deposited: 02 Aug 2024 09:35
Last Modified: 02 Aug 2024 09:35
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/18349

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