A note on linear perturbations of oscillatory second order differential equations
Archivum Mathematicum (2010)
- Volume: 046, Issue: 2, page 105-118
- ISSN: 0044-8753
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topManfrin, Renato. "A note on linear perturbations of oscillatory second order differential equations." Archivum Mathematicum 046.2 (2010): 105-118. <http://eudml.org/doc/37771>.
@article{Manfrin2010,
abstract = {Under suitable hypotheses on $\gamma (t)$, $\lambda (t)$, $q(t)$ we prove some stability results which relate the asymptotic behavior of the solutions of $u^\{\prime \prime \}+ \gamma (t)u^\{\prime \}+\big (q(t)+ \lambda (t)\big )u=0$ to the asymptotic behavior of the solutions of $u^\{\prime \prime \}+ q(t)u=0$.},
author = {Manfrin, Renato},
journal = {Archivum Mathematicum},
keywords = {second order ODE; boundedness of solutions; linear perturbations; second-order ODE; boundedness of solution; linear perturbation},
language = {eng},
number = {2},
pages = {105-118},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A note on linear perturbations of oscillatory second order differential equations},
url = {http://eudml.org/doc/37771},
volume = {046},
year = {2010},
}
TY - JOUR
AU - Manfrin, Renato
TI - A note on linear perturbations of oscillatory second order differential equations
JO - Archivum Mathematicum
PY - 2010
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 046
IS - 2
SP - 105
EP - 118
AB - Under suitable hypotheses on $\gamma (t)$, $\lambda (t)$, $q(t)$ we prove some stability results which relate the asymptotic behavior of the solutions of $u^{\prime \prime }+ \gamma (t)u^{\prime }+\big (q(t)+ \lambda (t)\big )u=0$ to the asymptotic behavior of the solutions of $u^{\prime \prime }+ q(t)u=0$.
LA - eng
KW - second order ODE; boundedness of solutions; linear perturbations; second-order ODE; boundedness of solution; linear perturbation
UR - http://eudml.org/doc/37771
ER -
References
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