Principal solution of half-linear differential equation: Limit and integral characterization
We investigate integral and limit characterizations of the principal solution of the nonoscillatory half-linear differential equation $$ (r(t)\Phi(x'))'+c(t)\Phi(x)=0,\quad \Phi(x)=|x|^{p-2},\ p>1 $$. In particular, we supplement and extend the results of the previous papers.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2008-07-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=321 |
| Summary: | We investigate integral and limit characterizations of the principal solution of the nonoscillatory half-linear differential equation
$$ (r(t)\Phi(x'))'+c(t)\Phi(x)=0,\quad \Phi(x)=|x|^{p-2},\ p>1 $$. In particular, we supplement and extend the results of the previous papers. |
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| ISSN: | 1417-3875 1417-3875 |