Asymptotics of Slowly Varying Solutions of Ordinary Binomial Differential Equations of the Second Order with Rapidly Varying Nonlinearity

被引：0

作者：

Evtukhov V.N. ^{[1
]}

Chernikova A.G. ^{[1
]}

机构：

[1] Mechnikov Odessa National University, Dvoryanskaya Str., 2, Odessa

来源：

Journal of Mathematical Sciences | 2018年 / 228卷 / 3期

关键词：

D O I：

10.1007/s10958-017-3616-9

中图分类号：

学科分类号：

摘要：

We establish the conditions for the existence of one class of solutions of a nonautonomous binomial differential equation of the second order with rapidly varying nonlinearity and the asymptotic representations for these solutions and their first derivatives as t ↑ ω (ω ≤ +∞). © 2017, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：207 / 225

页数：18

共 50 条

[41] A NOTE ON THE EXISTENCE OF SLOWLY GROWING POSITIVE SOLUTIONS TO SECOND ORDER QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS
Naito, Manabu
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2012, 57 : 95 - 108
[42] 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
[43] Asymptotic representations of solutions of essentially nonlinear systems of ordinary differential equations with regularly and rapidly varying nonlinearities
Evtukhov, V. M.
Shlepakov, O. R.
UKRAINIAN MATHEMATICAL JOURNAL, 2013, 64 (09) : 1326 - 1349
[44] Asymptotic representations of solutions of essentially nonlinear systems of ordinary differential equations with regularly and rapidly varying nonlinearities
V. M. Evtukhov
O. R. Shlepakov
Ukrainian Mathematical Journal, 2013, 64 : 1326 - 1349
[45] ZEROS OF SOLUTIONS OF ORDINARY SECOND ORDER DIFFERENTIAL EQUATIONS
COHN, JHE
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1968, 43 (172P): : 593 - &
[46] ON ZEROS OF SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS OF SECOND ORDER
GALBRAITH, AS
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 17 (02) : 333 - +
[47] Periodic Solutions in Slowly Varying Discontinuous Differential Equations: The Generic Case
Battelli, Flaviano
Feckan, Michal
MATHEMATICS, 2021, 9 (19)
[48] Asymptotic behavior of solutions of nth-order ordinary differential equations with regularly varying nonlinearities
Evtukhov, V. M.
Klopot, A. M.
DIFFERENTIAL EQUATIONS, 2014, 50 (05) : 581 - 597
[49] Slowly varying solutions of functional differential equations with retarded and advanced arguments
Kusano, Takasi
Maric, Vojislav
GEORGIAN MATHEMATICAL JOURNAL, 2007, 14 (02) : 301 - 314
[50] Asymptotic behavior of solutions of nth-order ordinary differential equations with regularly varying nonlinearities
V. M. Evtukhov
A. M. Klopot
Differential Equations, 2014, 50 : 581 - 597

← 1 2 3 4 5 →