On the Asymptotics of Solutions of Second-Order Differential Equations with Rapidly Varying Nonlinearities

被引：1

作者：

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

Chernikova, A. G. ^{[1
]}

机构：

[1] Mechnikov Odessa Natl Univ, Odessa, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2019年 / 71卷 / 01期

关键词：

D O I：

10.1007/s11253-019-01626-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish conditions for the existence of one class of monotone solutions of two-term nonautonomous differential equations of the second order with rapidly varying nonlinearities, as well as the asymptotic representations of these solutions and their first-order derivatives as t up arrow omega (omega <= + infinity).

引用

页码：81 / 101

页数：21

共 50 条

[21] Asymptotics of solutions for a class of quasilinear second-order ordinary differential equations
Akhmetov, R. G.
DIFFERENTIAL EQUATIONS, 2010, 46 (02) : 159 - 166
[22] Asymptotic Behavior of Slowly Varying Solutions of Second-Order Ordinary Binomial Differential Equations with Rapidly Varying Nonlinearity
Evtukhov V.M.
Chernikova A.G.
Journal of Mathematical Sciences, 2019, 236 (3) : 284 - 299
[23] Positive solutions of quasilinear second-order differential equations with singular nonlinearities
Kurokiba, M
Takashi, K
Wang, JF
DIFFERENTIAL EQUATIONS, 1996, 32 (12) : 1623 - 1629
[24] ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF THIRD-ORDER DIFFERENTIAL EQUATIONS WITH RAPIDLY VARYING NONLINEARITIES
Evtukhov, Vyacheslav M.
Sharay, Natalia, V
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2019, 77 : 43 - 57
[25] ASYMPTOTICS OF SOLUTIONS OF NONAUTONOMOUS SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS CLOSE TO LINEAR EQUATIONS
Abu-Elshour, Mousa Jaber
NONLINEAR OSCILLATIONS, 2008, 11 (02): : 242 - 254
[26] BOUNDEDNESS OF SOLUTIONS OF SECOND-ORDER DIFFERENTIAL EQUATIONS AND SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DELAY
汤慕忠
黄树荣
Chinese Science Bulletin, 1989, (02) : 171 - 172
[27] Periodic solutions of some second-order differential equations with desultorily sublinear nonlinearities
Ma, Tiantian
Wang, Zaihong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (01) : 41 - 49
[28] Existence and multiplicity of periodic solutions of the second-order differential equations with jumping nonlinearities
Wang, ZH
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2002, 18 (03) : 615 - 624
[29] Asymptotic Behavior of Unbounded Solutions of Second-Order Differential Equations with General Nonlinearities
Korchemkina T.A.
Journal of Mathematical Sciences, 2020, 244 (2) : 267 - 277
[30] Existence and asymptotics of solutions for a class of second-order quasilinear ordinary differential equations
Akhmetov, RG
DIFFERENTIAL EQUATIONS, 2005, 41 (06) : 757 - 763

← 1 2 3 4 5 →