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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
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
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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