Electron. J. Diff. Equ., Vol. 2016 (2016), No. 91, pp. 1-12.

Blow-up phenomena for second-order differential inequalities with shifted arguments

Mohamed Jleli, Mokhtar Kirane, Bessem Samet

Abstract:
We provide sufficient conditions for the blow-up of solutions to certain second-order differential inequalities and systems with advanced and delayed arguments. Our proofs are based on the test function method.

Submitted February 22, 2016. Published March 31, 2016.
Math Subject Classifications: 34K38, 35B44.
Key Words: Blow-up; differential inequalities; advanced argument; delayed argument.

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Mohamed Jleli
Department of Mathematics, College of Science
King Saud University, P.O. Box 2455
Riyadh 11451, Saudi Arabia
email: jleli@ksu.edu.sa
Mokhtar Kirane
LaSIE, Faculté des Sciences et Technologies
Université de La Rochelle
Avenue M. Crépeau, 17042 La Rochelle, France
email: mokhtar.kirane@univ-lr.fr
Bessem Samet
Department of Mathematics, College of Science
King Saud University, P.O. Box 2455
Riyadh 11451, Saudi Arabia
email: bsamet@ksu.edu.sa

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