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

Authors

  • Naceur Cheghloufa Department of Mathematics, Faculty of Sciences, Saad Dahlab University, 09000, Blida1, Algeria.
  • Belkacem Chaouchi Department of Renewable Energy, University of Khemis Miliana, Khemis Miliana, 44225, Algeria.
  • Marko Kostic Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovi ́ca 6, 21125, Novi Sad, Serbia.
  • Fatiha Boutaous Department of Mathematics, Faculty of Sciences, Saad Dahlab University, 09000, Blida1, Algeria.

Keywords:

Cusp domains, abstract differential equations, Hilbert spaces, Sobolev spaces, fractional powers of operators

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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Published

2025-06-23

Issue

Vol. 21 No. 1 (2025): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

On a class of abstract fourth-order differential equations set on cusp domain. (2025). Journal of Prime Research in Mathematics, 21(1), 22 – 39. https://jprm.sms.edu.pk/index.php/jprm/article/view/237