An asymptotic formula for solutions of nonoscillatory half-linear differential equations

Ondřej Došlý; Jana Řezníčková

Archivum Mathematicum (2011)

  • Volume: 047, Issue: 1, page 69-75
  • ISSN: 0044-8753

Abstract

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We establish a Hartman type asymptotic formula for nonoscillatory solutions of the half-linear second order differential equation r ( t ) Φ ( y ' ) ' + c ( t ) Φ ( y ) = 0 , Φ ( y ) : = | y | p - 2 y , p > 1 .

How to cite

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Došlý, Ondřej, and Řezníčková, Jana. "An asymptotic formula for solutions of nonoscillatory half-linear differential equations." Archivum Mathematicum 047.1 (2011): 69-75. <http://eudml.org/doc/116534>.

@article{Došlý2011,
abstract = {We establish a Hartman type asymptotic formula for nonoscillatory solutions of the half-linear second order differential equation \[ \left(r(t)\Phi (y^\{\prime \})\right)^\{\prime \}+c(t)\Phi (y)=0\,,\quad \Phi (y):=|y|^\{p-2\}y\,,\ p>1\,. \]},
author = {Došlý, Ondřej, Řezníčková, Jana},
journal = {Archivum Mathematicum},
keywords = {half-linear differential equation; asymptotic formula; principal solution; half-linear differential equation; asymptotic formula; principal solution},
language = {eng},
number = {1},
pages = {69-75},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {An asymptotic formula for solutions of nonoscillatory half-linear differential equations},
url = {http://eudml.org/doc/116534},
volume = {047},
year = {2011},
}

TY - JOUR
AU - Došlý, Ondřej
AU - Řezníčková, Jana
TI - An asymptotic formula for solutions of nonoscillatory half-linear differential equations
JO - Archivum Mathematicum
PY - 2011
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 047
IS - 1
SP - 69
EP - 75
AB - We establish a Hartman type asymptotic formula for nonoscillatory solutions of the half-linear second order differential equation \[ \left(r(t)\Phi (y^{\prime })\right)^{\prime }+c(t)\Phi (y)=0\,,\quad \Phi (y):=|y|^{p-2}y\,,\ p>1\,. \]
LA - eng
KW - half-linear differential equation; asymptotic formula; principal solution; half-linear differential equation; asymptotic formula; principal solution
UR - http://eudml.org/doc/116534
ER -

References

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