Nonexistence of positive global solutions to the differential equation $u''-t^{-p-1}u^p=0$
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.
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| Format: | Article |
| Language: | English |
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Texas State University
2016-07-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/189/abstr.html |
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doaj-1aa3545535374cdabc913ac789d2c42e2020-11-24T22:55:58ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-07-012016189,112Nonexistence of positive global solutions to the differential equation $u''-t^{-p-1}u^p=0$Meng-Rong Li0Tsung-Jui Chiang-Lin1Young-Shiuan Lee2Daniel Wei-Chung Miao3 National Chengchi Univ., Taipei, Taiwan National Univ. of Science an Tech., Taipei, Taiwan National Chengchi Univ., Taipei, Taiwan National Univ. of Science an Tech., Taipei, Taiwan 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.http://ejde.math.txstate.edu/Volumes/2016/189/abstr.htmlBlow-upglobal solutionnonlinear differential equation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Meng-Rong Li Tsung-Jui Chiang-Lin Young-Shiuan Lee Daniel Wei-Chung Miao |
| spellingShingle |
Meng-Rong Li Tsung-Jui Chiang-Lin Young-Shiuan Lee Daniel Wei-Chung Miao Nonexistence of positive global solutions to the differential equation $u''-t^{-p-1}u^p=0$ Electronic Journal of Differential Equations Blow-up global solution nonlinear differential equation |
| author_facet |
Meng-Rong Li Tsung-Jui Chiang-Lin Young-Shiuan Lee Daniel Wei-Chung Miao |
| author_sort |
Meng-Rong Li |
| title |
Nonexistence of positive global solutions to the differential equation $u''-t^{-p-1}u^p=0$ |
| title_short |
Nonexistence of positive global solutions to the differential equation $u''-t^{-p-1}u^p=0$ |
| title_full |
Nonexistence of positive global solutions to the differential equation $u''-t^{-p-1}u^p=0$ |
| title_fullStr |
Nonexistence of positive global solutions to the differential equation $u''-t^{-p-1}u^p=0$ |
| title_full_unstemmed |
Nonexistence of positive global solutions to the differential equation $u''-t^{-p-1}u^p=0$ |
| title_sort |
nonexistence of positive global solutions to the differential equation $u''-t^{-p-1}u^p=0$ |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2016-07-01 |
| description |
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. |
| topic |
Blow-up global solution nonlinear differential equation |
| url |
http://ejde.math.txstate.edu/Volumes/2016/189/abstr.html |
| work_keys_str_mv |
AT mengrongli nonexistenceofpositiveglobalsolutionstothedifferentialequationutp1up0 AT tsungjuichianglin nonexistenceofpositiveglobalsolutionstothedifferentialequationutp1up0 AT youngshiuanlee nonexistenceofpositiveglobalsolutionstothedifferentialequationutp1up0 AT danielweichungmiao nonexistenceofpositiveglobalsolutionstothedifferentialequationutp1up0 |
| _version_ |
1725655539288899584 |