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Existence of Solutions of a Non-variational Bi-harmonic System via Fixed Point Theory
Journal article   Open access  Peer reviewed

Existence of Solutions of a Non-variational Bi-harmonic System via Fixed Point Theory

Idir Mechai, Metib Alghamdi and Habib Yazidi
Filomat, Vol.32(12), pp.4113-4130
01/01/2018
DOI: https://doi.org/10.2298/FIL1812113M

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We prove existence of a positive solution for a system of non-variational bi-harmonic equations. Furthermore, we give some a priori estimates of solutions and a non-existence result. In addition we compute numerical solutions to illustrate the theoretical results.
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https://doi.org/10.2298/FIL1812113MView
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