Asymptotic representations of solutions of the nonautonomous ordinary differential n -th order equations

Mousa Jaber Abu Elshour; Vjacheslav Evtukhov

Archivum Mathematicum (2017)

  • Volume: 053, Issue: 1, page 1-12
  • ISSN: 0044-8753

Abstract

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Asymptotic representations of some classes of solutions of nonautonomous ordinary differential n -th order equations which somewhat are close to linear equations are established.

How to cite

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Elshour, 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

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  1. Evtukhov, V.M., Asymptotic representations of solutions of nonautonomous ordinary differential equations, Doctoral (Phys.-Math.) Dissertation, Kiev (1998). (1998) 
  2. Evtukhov, V.M., Elshour, Mousa Jaber Abu, Asymptotic behaviour of solutions of the nonautonomous ordinary differential n -th order equations, Nonlinear Oscillations 19 (1) (2016), 22–31. (2016) MR3669587
  3. 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
  4. 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
  5. Kiguradze, I.T., Chanturia, T.A., Asymptotic properties of solutions of nonautonomous ordinary differential equations, Kluwer Academic Publishers Group Dordrecht, 1993. (1993) Zbl0782.34002MR1220223
  6. 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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