A method of asymptotic expansion of an m-parameter family of solutions for a quasilinear system of differential equations

被引：0

作者：

Él'nazarov A.A. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

来源：

Ukrainian Mathematical Journal | 1998年 / 50卷 / 3期

关键词：

Asymptotic Expansion; Trigonometric Polynomial; Invariant Torus; QUASILINEAR System; Asymptotic Integration;

D O I：

10.1007/BF02528817

中图分类号：

学科分类号：

摘要：

By using the method of asymptotic expansion of an m-parameter family of solutions, we obtain the asymptotic expansion of solutions of a quasilinear system of differential equations. © 1999 Plenum Publishing Corporation.

引用

页码：507 / 513

页数：6

共 50 条

[31] Asymptotic expansions of periodic solutions of ordinary differential equations with large high-frequency terms
Levenshtam, V. B.
DIFFERENTIAL EQUATIONS, 2008, 44 (01) : 54 - 70
[32] Asymptotic expansions of periodic solutions of ordinary differential equations with large high-frequency terms
V. B. Levenshtam
Differential Equations, 2008, 44 : 54 - 70
[33] Asymptotic integration of second-order nonlinear differential equations via principal and nonprincipal solutions
Ertem, T.
Zafer, A.
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (11) : 5876 - 5886
[34] Singular initial value problem for a system of ordinary differential equations with a small parameter
A. M. Il’in
O. Yu. Khachai
Doklady Mathematics, 2008, 78 : 729 - 732
[35] Singular Initial Value Problem for a System of Ordinary Differential Equations with a Small Parameter
Il'ina, A. M.
Khachai, O. Yu.
DOKLADY MATHEMATICS, 2008, 78 (02) : 729 - 732
[36] A New Form of Asymptotic Expansion for Non-smooth Differential Equations with Time-Decaying Forcing Functions
Hoang, Luan
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2024,
[37] Approximation of periodic solutions of a system of periodic linear nonhomogeneous differential equations
Fischer A.
Applications of Mathematics, 2004, 49 (3) : 269 - 284
[38] Prescribed asymptotic behavior of second-order impulsive differential equations via principal and nonprincipal solutions
Akgol, S. Dogru
Zafer, A.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 503 (02)
[39] A Parameter-uniform Method for Two Parameters Singularly Perturbed Boundary Value Problems via Asymptotic Expansion
Kumar, D.
Yadaw, A. S.
Kadalbajoo, M. K.
APPLIED MATHEMATICS & INFORMATION SCIENCES, 2013, 7 (04): : 1525 - 1532
[40] Step-like contrast structure for a quasilinear system of singularly perturbed differential equations with a zero characteristic number
Ni Mingkang
Wang Aifeng
Cheng Huaxiong
Differential Equations, 2016, 52 : 186 - 196

← 1 2 3 4 5 →