Existence and asymptotic stability of a stationary solution of a singularly perturbed system of parabolic equations in the case of intersecting roots of the degenerate equation

Perturbed System ◽

Singularly Perturbed System of Parabolic Equations in the Critical Case

Journal of Mathematical Sciences ◽

10.1007/s10958-018-3778-0 ◽

2018 ◽

Vol 230 (5) ◽

pp. 728-731 ◽

Author(s):

A. S. Omuraliev ◽

S. Kulmanbetova

Keyword(s):

Parabolic Equations ◽

Critical Case ◽

Singularly Perturbed ◽

Perturbed System ◽

Asymptotics of the solution to a singularly perturbed system of parabolic equations in the critical case

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542510020077 ◽

2010 ◽

Vol 50 (2) ◽

pp. 256-263 ◽

Author(s):

A. V. Nesterov ◽

O. V. Shuliko

Keyword(s):

Parabolic Equations ◽

Critical Case ◽

Singularly Perturbed ◽

Perturbed System ◽

Step-like contrast structure in a singularly perturbed system of parabolic equations

Differential Equations ◽

10.1134/s0012266115030064 ◽

2015 ◽

Vol 51 (3) ◽

pp. 342-361 ◽

Cited By ~ 7

Author(s):

N. T. Levashova ◽

A. A. Mel’nikova

Keyword(s):

Parabolic Equations ◽

Singularly Perturbed ◽

Contrast Structure ◽

Perturbed System ◽

Asymptotic stability for a homogeneous singularly perturbed system of differential equations with unbounded delay

Applied Mathematics and Computation ◽

10.1016/0096-3003(92)90132-k ◽

1992 ◽

Vol 51 (1) ◽

pp. 1-16

Author(s):

H.D. Voulov ◽

D.D. Bainov

Keyword(s):

Asymptotic Stability ◽

Differential Equations ◽

Singularly Perturbed ◽

System Of Differential Equations ◽

Unbounded Delay ◽

Uniform asymptotic stability of a singularly perturbed system via the Lyapunov matrix-function

Nonlinear Analysis ◽

10.1016/0362-546x(87)90022-8 ◽

1987 ◽

Vol 11 (1) ◽

pp. 1-4 ◽

Cited By ~ 8

Author(s):

A.A. Martynyuk

Keyword(s):

Asymptotic Stability ◽

Matrix Function ◽

Singularly Perturbed ◽

Uniform Asymptotic Stability ◽

Perturbed System ◽

Lyapunov Matrix

On One Singularly Perturbed System of Ordinary Differential Equations with Multiple Root of the Degenerate Equation

Journal of Mathematical Sciences ◽

10.1007/s10958-019-04350-6 ◽

2019 ◽

Vol 240 (3) ◽

pp. 224-248 ◽

Author(s):

V. F. Butuzov

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Multiple Root ◽

Singularly Perturbed ◽

Degenerate Equation ◽

On a singularly perturbed system of two second-order equations in the case of intersecting roots of the degenerate equation

Differential Equations ◽

10.1134/s0012266109070015 ◽

2009 ◽

Vol 45 (7) ◽

pp. 933-950

Author(s):

V. F. Butuzov ◽

A. V. Kostin

Keyword(s):

Second Order ◽

Singularly Perturbed ◽

Degenerate Equation ◽

Perturbed System ◽

Second Order Equations

Asymptotic stability of the solutions of a linear singularly perturbed system with unbounded delay

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(91)90001-g ◽

1991 ◽

Vol 155 (2) ◽

pp. 293-311 ◽

Author(s):

H.D Voulov ◽

D.D Bainov

Keyword(s):

Asymptotic Stability ◽

Singularly Perturbed ◽

Unbounded Delay ◽

Asymptotic stability for a homogeneous singularly perturbed system of differential equations with unbounded delay

Annales de la faculté des sciences de Toulouse Mathématiques ◽

10.5802/afst.759 ◽

1993 ◽

Vol 2 (1) ◽

pp. 97-116

Author(s):

Hristo Dimitrov Voulov ◽

Drumi Dimitrov Bainov

Keyword(s):

Asymptotic Stability ◽

Differential Equations ◽

Singularly Perturbed ◽

System Of Differential Equations ◽

Unbounded Delay ◽

A singular singularly perturbed system of nonlinear parabolic equations from chemical kinetics

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(80)90129-8 ◽

1980 ◽

Vol 74 (1) ◽

pp. 296-310 ◽

Cited By ~ 6

Author(s):

L.E Bobisud ◽

C.O Christenson

Keyword(s):

Chemical Kinetics ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Singularly Perturbed ◽

Perturbed System ◽

Nonlinear Parabolic