Blow-up of solutions for a system of nonlocal singular viscoelastic equations

ABSTRACT

The main propose of this paper is to study the blow-up of solutions of an initial boundary value problem with a nonlocal boundary condition for a system of nonlinear singular viscoelastic equations. where the blow-up of solutions in finite time with nonpositive initial energy combined with a positive initial energy are shown.

KEYWORDS:

• Viscoelastic equations
• blow-up
• life span

AMS SUBJECT CLASSIFICATIONS:

• 35L35
• 35L20

Acknowledgements

The authors would like to thank the handling editor and anonymous referees for their careful reading and for relevant remarks/suggestions which helped them to improve the paper. The third author gratefully acknowledge Qassim University in Kingdom of Saudi Arabia.

Disclosure statement

No potential conflict of interest was reported by the authors.