Electron. J. Diff. Equ., Vol. 2016 (2016), No. 57, pp. 1-8.

Blow-up of solutions to some differential equations and inequalities with shifted arguments

Olga Salieva

Abstract:
Using the test function technique, we obtain sufficient conditions for the blow-up of solutions to some differential equations and inequalities with advanced and delayed arguments, and for systems. Also we obtain upper estimates for the blow-up time.

Submitted December 8, 2015. Published February 25, 2016.
Math Subject Classifications: 34K38.
Key Words: Differential inequalities; advanced/delayed argument; blow-up.

An addendum was posted on March 23, 2016. It reverses the inequality in (3.4). See the last page of this article.

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Olga Salieva
Moscow State Technological University "Stankin"
127994, Vadkovsky lane 3a
Moscow, Russia
email: olga.a.salieva@gmail.com

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