On the asymptotic behaviors of solutions to nonlinear differential equations of second order

Cemil Tunc; Timur Ayhan

Commentationes Mathematicae (2015)

  • Volume: 55, Issue: 1
  • ISSN: 2080-1211

Abstract

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We study the asymptotic behavior of solutions to a nonlinear differential equation of the second order whose coefficient of nonlinearity is a bounded function for arbitrarily large values of x in R . We obtain certain sufficient conditions which guarantee boundedness of solutions, their convergence to zero as x and their unboundedness.

How to cite

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Cemil Tunc, and Timur Ayhan. "On the asymptotic behaviors of solutions to nonlinear differential equations of second order." Commentationes Mathematicae 55.1 (2015): null. <http://eudml.org/doc/292519>.

@article{CemilTunc2015,
abstract = {We study the asymptotic behavior of solutions to a nonlinear differential equation of the second order whose coefficient of nonlinearity is a bounded function for arbitrarily large values of $x$ in $R$. We obtain certain sufficient conditions which guarantee boundedness of solutions, their convergence to zero as $x\rightarrow \infty $ and their unboundedness.},
author = {Cemil Tunc, Timur Ayhan},
journal = {Commentationes Mathematicae},
keywords = {Asymptotic behavior; nonlinear differential equation; second order},
language = {eng},
number = {1},
pages = {null},
title = {On the asymptotic behaviors of solutions to nonlinear differential equations of second order},
url = {http://eudml.org/doc/292519},
volume = {55},
year = {2015},
}

TY - JOUR
AU - Cemil Tunc
AU - Timur Ayhan
TI - On the asymptotic behaviors of solutions to nonlinear differential equations of second order
JO - Commentationes Mathematicae
PY - 2015
VL - 55
IS - 1
SP - null
AB - We study the asymptotic behavior of solutions to a nonlinear differential equation of the second order whose coefficient of nonlinearity is a bounded function for arbitrarily large values of $x$ in $R$. We obtain certain sufficient conditions which guarantee boundedness of solutions, their convergence to zero as $x\rightarrow \infty $ and their unboundedness.
LA - eng
KW - Asymptotic behavior; nonlinear differential equation; second order
UR - http://eudml.org/doc/292519
ER -

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