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Blow‐up and decay of solutions for a viscoelastic Kirchhoff‐type equation with distributed delay and variable exponents.

Authors :
Choucha, Abdelbaki
Boulaaras, Salah
Jan, Rashid
Alharbi, Rabab
Source :
Mathematical Methods in the Applied Sciences; 5/30/2024, Vol. 47 Issue 8, p6928-6945, 18p
Publication Year :
2024

Abstract

In this article, we focussed on a nonlinear viscoelastic Kirchhoff‐type equation with distributed delay and variable‐exponents. The blow‐up solutions of the problem are proved under suitable hypothesis, and by using an integral inequality due to Komornik, the general decay outcome is obtained in the case b=0$$ b=0 $$. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
47
Issue :
8
Database :
Complementary Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
177083257
Full Text :
https://doi.org/10.1002/mma.9950