Electron. J. Differential Equations, Vol. 2016 (2016), No. 264, pp. 1-3.

Nonexistence of positive global solutions to the differential equation $u''(t)-t^{-p-1} u^{p}=0$

Ahmed Alsaedi, Bashir Ahmad

Abstract:
A blow-up result for positive solutions to the differential equation $u''(t)-t^{-p-1} u^{p}=0$ is derived. Our result is different from the one obtained in the [1], and our conditions are less restrictive.

Submitted July 28, 2016. Published September 28, 2016.
Math Subject Classifications: 34A12, 34A34.
Key Words: Nonlinear differential equation; test function; global solution; blow-up.

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Ahmed Alsaedi
Department of Mathematics, Faculty of Science
King Abdulaziz University, P.O. Box 80203
Jeddah 21589, Saudi Arabia
email: aalsaedi@hotmail.com
Bashir Ahmad
Department of Mathematics, Faculty of Science
King Abdulaziz University, P.O. Box. 80203
Jeddah 21589, Saudi Arabia
email: bashirahmad_qau@yahoo.com

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