ON THE ASYMPTOTIC INTEGRATION OF A SINGULARLY PERTURBED SYSTEM OF LINEAR DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT

被引：1

作者：

Klyuchnyk, I. H. ^{[1
]}

Zavizion, H. V. ^{[2
]}

机构：

[1] Shevchenko Kyiv Natl Univ, Kiev, Ukraine

[2] Kirovohrad State Pedag Univ, Kirovohrad, Ukraine

来源：

NONLINEAR OSCILLATIONS | 2010年 / 13卷 / 02期

关键词：

D O I：

10.1007/s11072-010-0109-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence and infinite differentiability of a solution of a singularly perturbed linear system of differential equations with deviating arguments and a turning point.

引用

下载

页码：178 / 195

页数：18

共 50 条

[1] ASYMPTOTIC INTEGRATION OF SINGULARLY PERTURBED LINEAR SYSTEMS OF DIFFERENTIAL-ALGEBRAIC EQUATIONS
Samusenko, P.
MISKOLC MATHEMATICAL NOTES, 2017, 17 (02) : 1033 - 1047
[2] ASYMPTOTIC SOLUTIONS OF A SINGULARLY PERTURBED LINEAR SYSTEM OF DIFFERENTIAL EQUATIONS WITH IRREGULAR SINGULAR POINT
Yakovets', V. P.
Holovchenko, O. V.
NONLINEAR OSCILLATIONS, 2009, 12 (03): : 429 - 445
[3] Asymptotic Expansion of a Solution of a Singularly Perturbed System of Linear Equations
O. O. Kovrizhnykh
Differential Equations, 2005, 41 : 1392 - 1402
[4] Asymptotic expansion of a solution of a singularly perturbed system of linear equations
Kovrizhnykh, OO
DIFFERENTIAL EQUATIONS, 2005, 41 (10) : 1392 - 1402
[5] New asymptotic results for half-linear differential equations with deviating argument
Baculikova, Blanka
Dzurina, Jozef
CARPATHIAN JOURNAL OF MATHEMATICS, 2022, 38 (02) : 327 - 335
[6] ASYMPTOTIC PROPERTIES OF DIFFERENTIAL-EQUATIONS WITH DEVIATING ARGUMENT
DZURINA, J
CZECHOSLOVAK MATHEMATICAL JOURNAL, 1995, 45 (02) : 337 - 345
[7] Asymptotic stability of singularly perturbed differential equations
Artstein, Zvi
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 262 (03) : 1603 - 1616
[8] Asymptotic integration of degenerate singularly perturbed systems of parabolic partial differential equations
Samusenko P.F.
Journal of Mathematical Sciences, 2013, 189 (5) : 834 - 847
[9] ASYMPTOTIC MANIFOLDS OF A PERTURBED LINEAR SYSTEM OF DIFFERENTIAL EQUATIONS
HALLAM, TG
HEIDEL, JW
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 149 (01) : 233 - &
[10] ASYMPTOTIC SOLUTION OF SOME SYSTEMS OF DIFFERENTIAL EQUATIONS WITH A DEVIATING ARGUMENT
MEDVEDEV, GN
DOKLADY AKADEMII NAUK SSSR, 1968, 178 (02): : 293 - &

← 1 2 3 4 5 →