Asymptotic integration of differential equations with singular $p$-Laplacian
Archivum mathematicum, Tome 52 (2016) no. 1, pp. 13-19
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In this paper we deal with the problem of asymptotic integration of nonlinear differential equations with $p-$Laplacian, where $1 p 2$. We prove sufficient conditions under which all solutions of an equation from this class are converging to a linear function as $t \rightarrow \infty $.
DOI :
10.5817/AM2016-1-13
Classification :
34D05, 35B40
Keywords: $p$-Laplacian; differential equation; asymptotic integration
Keywords: $p$-Laplacian; differential equation; asymptotic integration
@article{10_5817_AM2016_1_13,
author = {Medve\v{d}, Milan and Pek\'arkov\'a, Eva},
title = {Asymptotic integration of differential equations with singular $p${-Laplacian}},
journal = {Archivum mathematicum},
pages = {13--19},
publisher = {mathdoc},
volume = {52},
number = {1},
year = {2016},
doi = {10.5817/AM2016-1-13},
mrnumber = {3475109},
zbl = {06562205},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2016-1-13/}
}
TY - JOUR AU - Medveď, Milan AU - Pekárková, Eva TI - Asymptotic integration of differential equations with singular $p$-Laplacian JO - Archivum mathematicum PY - 2016 SP - 13 EP - 19 VL - 52 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2016-1-13/ DO - 10.5817/AM2016-1-13 LA - en ID - 10_5817_AM2016_1_13 ER -
%0 Journal Article %A Medveď, Milan %A Pekárková, Eva %T Asymptotic integration of differential equations with singular $p$-Laplacian %J Archivum mathematicum %D 2016 %P 13-19 %V 52 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5817/AM2016-1-13/ %R 10.5817/AM2016-1-13 %G en %F 10_5817_AM2016_1_13
Medveď, Milan; Pekárková, Eva. Asymptotic integration of differential equations with singular $p$-Laplacian. Archivum mathematicum, Tome 52 (2016) no. 1, pp. 13-19. doi: 10.5817/AM2016-1-13
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