Asymptotic Representations for the Solutions of Nonautonomous Ordinary Differential Equations

被引：1

作者：

Evtukhov, V. M. ^{[1
]}

Droggina, A. V. ^{[1
]}

机构：

[1] Mechnikov Odessa Natl Univ, Odessa, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2020年 / 71卷 / 12期

关键词：

D O I：

10.1007/s11253-020-01753-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The conditions of existence and asymptotic representations ast up arrow (<= + infinity) are obtained for one class of solutions of nonautonomous differential equations of thenth order asymptotically close, in a certain sense, to equations with regularly varying nonlinearities.

引用

页码：1865 / 1887

页数：23

共 50 条

[1] Asymptotic Representations for the Solutions of Nonautonomous Ordinary Differential Equations
V. M. Evtukhov
A.V. Droggina
Ukrainian Mathematical Journal, 2020, 71 : 1865 - 1887
[2] Asymptotic representations of solutions of nonautonomous ordinary differential equations with regularly varying nonlinearities
Evtukhov, V. M.
Samoilenko, A. M.
DIFFERENTIAL EQUATIONS, 2011, 47 (05) : 627 - 649
[3] Asymptotic representations of solutions of nonautonomous ordinary differential equations with regularly varying nonlinearities
V. M. Evtukhov
A. M. Samoilenko
Differential Equations, 2011, 47
[4] Asymptotic Behavior of the Solutions of Nonautonomous Ordinary Differential Equations of Order n
Evtukhov V.M.
Abu Elshour M.J.
Journal of Mathematical Sciences, 2017, 222 (3) : 226 - 236
[5] ASYMPTOTIC REPRESENTATIONS OF THE SOLUTIONS OF A CLASS OF THE SECOND ORDER NONAUTONOMOUS DIFFERENTIAL EQUATIONS
Abu Elshour, Mousa Jaber
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2008, 44 : 59 - 68
[6] Asymptotic representations of solutions of two-term nonautonomous nth-order ordinary differential equations with exponential nonlinearity
Evtukhov, V. M.
Shinkarenko, V. N.
DIFFERENTIAL EQUATIONS, 2008, 44 (03) : 319 - 333
[7] Asymptotic representations of solutions of two-term nonautonomous nth-order ordinary differential equations with exponential nonlinearity
V. M. Evtukhov
V. N. Shinkarenko
Differential Equations, 2008, 44 : 319 - 333
[8] Periodic solutions of nonautonomous ordinary differential equations
Kiguradze, I.
Lomtatidze, A.
MONATSHEFTE FUR MATHEMATIK, 2010, 159 (03): : 235 - 252
[9] Periodic solutions of nonautonomous ordinary differential equations
I. Kiguradze
A. Lomtatidze
Monatshefte für Mathematik, 2010, 159 : 235 - 252
[10] ASYMPTOTIC BEHAVIOUR OF SAME CLASSES OF SOLUTIONS OF THE NONAUTONOMOUS ORDINARY DIFFERENTIAL THIRD ORDER EQUATIONS
Sharai, Nataliia
Shinkarenko, Volodymyr
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2024, 91 : 151 - 160

← 1 2 3 4 5 →