Stability of a delayed heat full Von K\'{a}rm\'{a}n system with past history

Authors

  • Ibrahim Daameche Computer, Science and Mathematics\\ Laboratory of Laghouat, Amar Teledji Laghouat University, Laghouat, Algeria\\ -Department of Mathematics, Djilali Bounaama University of Khemis Miliana,\\ Khemis Miliana, Algeria
  • Ali Krelifa Department of Mathematics, Djilali Bounaama University of Khemis Miliana,\\ Khemis Miliana, Algeria\\ - Mathematics, Computer Science and Applications Laboratory , University of Khemis Miliana
  • Houssem Eddine Khochemane Ecole Normale Sup\'{e}rieure d'Enseignement Technologique de Skikda, Algeria

Abstract

In this work, we examine the asymptotic behavior and well-posedness of a one-dimensional Von Kármán beam linked to thermal conduction, which is determined by the Gurtin-Pipkins law. Within the semigroup framework, the existence and uniqueness of the solutions are demonstrated, and the stability is attained with the help of an appropriate Lyapunov functional.

Downloads

Published

2025-08-30

Issue

Vol. 32 No. 3 (2025): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2025 Ibrahim Daameche , Ali Krelifa, Houssem Eddine Khochemane

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Stability of a delayed heat full Von K\’{a}rm\’{a}n system with past history. (2025). Nonlinear Studies, 32(3), 991-1010. https://nonlinearstudies.com/index.php/nonlinear/article/view/4031