Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations

被引：0

作者：

Amiraliyev, Gabil M. ^{[1
]}

Ucar, Aysenur ^{[1
]}

机构：

[1] Sinop Univ, Dept Math, TR-57000 Sinop, Turkey

来源：

SCIENTIFIC WORLD JOURNAL | 2013年

关键词：

D O I：

10.1155/2013/301609

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The periodical in time problem for singularly perturbed second order linear ordinary differential equation is considered. The boundary layer behavior of the solution and its first and second derivatives have been established. An example supporting the theoretical analysis is presented.

引用

页数：4

共 50 条

[21] Time-periodic solutions of linear parabolic differential equations
Lieberman, GM
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1999, 24 (3-4) : 631 - 663
[22] REGULARIZED ASYMPTOTIC SOLUTIONS TO NONLINEAR, SINGULARLY PERTURBED SYSTEMS OF DIFFERENTIAL-EQUATIONS
SAFANOV, VF
DOKLADY AKADEMII NAUK SSSR, 1977, 235 (06): : 1274 - 1276
[23] Asymptotic solutions of singularly perturbed nonlinear systems of impulsive differential equations with degeneration
Potorocha, V. V.
Samoylenko, V. Hr.
DIFFERENTIAL EQUATIONS, 2007, 43 (03) : 334 - 345
[24] The asymptotic behavior of solutions to singularly perturbed nonlinear integro-differential equations
Dauylbaev, MK
SIBERIAN MATHEMATICAL JOURNAL, 2000, 41 (01) : 49 - 60
[25] Asymptotic solutions of singularly perturbed nonlinear systems of impulsive differential equations with degeneration
V. V. Potorocha
V. Hr. Samoylenko
Differential Equations, 2007, 43 : 334 - 345
[26] Construction of asymptotic formulas for solutions of singularly perturbed degenerate systems of differential equations
Samusenko, P. F.
NONLINEAR OSCILLATIONS, 2008, 11 (03): : 427 - 441
[27] The asymptotic behavior of solutions to singularly perturbed nonlinear integro-differential equations
M. K. Dauylbaev
Siberian Mathematical Journal, 2000, 41 : 49 - 60
[28] ASYMPTOTIC ESTIMATES FOR SOLUTIONS OF SINGULARLY PERTURBED BOUNDARY-VALUE-PROBLEMS OF ORDINARY DIFFERENTIAL-EQUATIONS WITH INITIAL JUMPS
ABILDAEV, EA
KASYMOV, KA
DIFFERENTIAL EQUATIONS, 1992, 28 (10) : 1345 - 1352
[29] Asymptotic behavior solutions of singularly perturbed differential equations in the case of change of stability
Kalimbetov, B.
Mamatkulova, M.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2012, 68 (04): : 55 - 59
[30] Construction of periodic solutions of a nonlinear singularly perturbed system of differential equations with degeneration
P. F. Samusenko
Differential Equations, 2006, 42 : 805 - 813

← 1 2 3 4 5 →