Asymptotic integration of differential equations with singular p -Laplacian

Milan Medveď; Eva Pekárková

Archivum Mathematicum (2016)

  • Volume: 052, Issue: 1, page 13-19
  • ISSN: 0044-8753

Abstract

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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 → ∞ .

How to cite

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Medveď, Milan, and Pekárková, Eva. "Asymptotic integration of differential equations with singular $p$-Laplacian." Archivum Mathematicum 052.1 (2016): 13-19. <http://eudml.org/doc/276747>.

@article{Medveď2016,
abstract = {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 $.},
author = {Medveď, Milan, Pekárková, Eva},
journal = {Archivum Mathematicum},
keywords = {$p$-Laplacian; differential equation; asymptotic integration},
language = {eng},
number = {1},
pages = {13-19},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Asymptotic integration of differential equations with singular $p$-Laplacian},
url = {http://eudml.org/doc/276747},
volume = {052},
year = {2016},
}

TY - JOUR
AU - Medveď, Milan
AU - Pekárková, Eva
TI - Asymptotic integration of differential equations with singular $p$-Laplacian
JO - Archivum Mathematicum
PY - 2016
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 052
IS - 1
SP - 13
EP - 19
AB - 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 $.
LA - eng
KW - $p$-Laplacian; differential equation; asymptotic integration
UR - http://eudml.org/doc/276747
ER -

References

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