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On a class of abstract fourth-order differential equations set on cusp domain


Article Information

Title: On a class of abstract fourth-order differential equations set on cusp domain

Authors: Naceur Cheghloufa, Belkacem Chaouchi, Marko Kostic’, Fatiha Boutaous

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2025

Volume: 21

Issue: 1

Language: English

Keywords: abstract fourth-order differential equationscusp domainboundary value problem

Categories

Abstract

In this work, we concentrate on a boundary value problem set on a singular domain containing a cuspidial point. In our study, we obtain some existence and maximal regularity results. Our strategy is based on the study of a boundary value problems for a class of the complete abstract fourth-order differential equations involving fractional powers of unbounded linear operators.


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