Electron. J. Diff. Equ., Vol. 2016 (2016), No. 189, pp. 1-12.

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

Meng-Rong Li, Tsung-Jui Chiang-Lin, Young-Shiuan Lee, Daniel Wei-Chung Miao

Abstract:
In this article we consider the ordinary differential equation
$$ u'' -t^{-p-1} u^p =0. $$
We show the blow-up for solutions of this equation, under certain on the initial data.

Submitted May 15, 2016. Published July 13, 2016.
Math Subject Classifications: 34A34, 34C05.
Key Words: Blow-up; global solution; nonlinear differential equation.

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Meng-Rong Li
Department of Mathematical Sciences
National Chengchi University
Taipei, Taiwan
email: liwei@math.nccu.edu.tw
Tsung-Jui Chiang-Lin
Graduate Institute of Finance
National Taiwan University of Science an Technology
Taipei, Taiwan
email: D9918005@mail.ntust.edu.tw
Young-Shiuan Lee
Department of Statistics
National Chengchi University
Taipei, Taiwan
email: 99354501@nccu.edu.tw
Daniel Wei-Chung Miao
Graduate Institute of Finance
National Taiwan University of Science and Technology
Taipei, Taiwan
email: miao@mail.ntust.edu.tw

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