Asymptotic representations of solutions of the nonautonomous ordinary differential -th order equations
Mousa Jaber Abu Elshour; Vjacheslav Evtukhov
Archivum Mathematicum (2017)
- Volume: 053, Issue: 1, page 1-12
- ISSN: 0044-8753
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topElshour, Mousa Jaber Abu, and Evtukhov, Vjacheslav. "Asymptotic representations of solutions of the nonautonomous ordinary differential $n$-th order equations." Archivum Mathematicum 053.1 (2017): 1-12. <http://eudml.org/doc/287957>.
@article{Elshour2017,
abstract = {Asymptotic representations of some classes of solutions of nonautonomous ordinary differential $n$-th order equations which somewhat are close to linear equations are established.},
author = {Elshour, Mousa Jaber Abu, Evtukhov, Vjacheslav},
journal = {Archivum Mathematicum},
keywords = {nonlinear differential equations; $P_\omega (\lambda _0)$-solutions; asymptotic beaviour; regularly varying functions; nonlinear differential equations; nonoscillating solutions; asymptotic representations},
language = {eng},
number = {1},
pages = {1-12},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Asymptotic representations of solutions of the nonautonomous ordinary differential $n$-th order equations},
url = {http://eudml.org/doc/287957},
volume = {053},
year = {2017},
}
TY - JOUR
AU - Elshour, Mousa Jaber Abu
AU - Evtukhov, Vjacheslav
TI - Asymptotic representations of solutions of the nonautonomous ordinary differential $n$-th order equations
JO - Archivum Mathematicum
PY - 2017
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 053
IS - 1
SP - 1
EP - 12
AB - Asymptotic representations of some classes of solutions of nonautonomous ordinary differential $n$-th order equations which somewhat are close to linear equations are established.
LA - eng
KW - nonlinear differential equations; $P_\omega (\lambda _0)$-solutions; asymptotic beaviour; regularly varying functions; nonlinear differential equations; nonoscillating solutions; asymptotic representations
UR - http://eudml.org/doc/287957
ER -
References
top- Evtukhov, V.M., Asymptotic representations of solutions of nonautonomous ordinary differential equations, Doctoral (Phys.-Math.) Dissertation, Kiev (1998). (1998)
- Evtukhov, V.M., Elshour, Mousa Jaber Abu, Asymptotic behaviour of solutions of the nonautonomous ordinary differential -th order equations, Nonlinear Oscillations 19 (1) (2016), 22–31. (2016) MR3669587
- Evtukhov, V.M., Samoilenko, A.M., 10.1007/s11253-010-0333-7, Ukrainian Math. J. 60 (1) (2010), 56–86. (2010) Zbl1224.35033MR2888579DOI10.1007/s11253-010-0333-7
- Evtukhov, V.M., Samoilenko, A.M., Asymptotic representations of solutions of nonautonomous ordinary differential equations with regularly varying nonlinearities, Differ. Uravn. 47 (5) (2011), 628–650. (2011) Zbl1242.34092MR2918280
- Kiguradze, I.T., Chanturia, T.A., Asymptotic properties of solutions of nonautonomous ordinary differential equations, Kluwer Academic Publishers Group Dordrecht, 1993. (1993) Zbl0782.34002MR1220223
- Seneta, E., Regularly Varying Functions, Berlin Springer-Verlag, 1976, Translated under the title Pravil'no menyayushchiesya funktsii, Moscow Nauka, 1985. (1976) Zbl0324.26002MR0815924
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