Asymptotic behaviour of the solution to a singularly perturbed partially dissipative system with a multiple root of the degenerate equation

Sbornik Mathematics ◽

10.1070/sm8602 ◽

2016 ◽

Vol 207 (8) ◽

pp. 1100-1126 ◽

Author(s):

V F Butuzov

Keyword(s):

Asymptotic Behaviour ◽

Dissipative System ◽

Multiple Root ◽

Singularly Perturbed ◽

Degenerate Equation

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Asymptotic behaviour of a boundary layer solution to a stationary partly dissipative system with a multiple root of the degenerate equation

Sbornik Mathematics ◽

10.1070/sm9149 ◽

2019 ◽

Vol 210 (11) ◽

pp. 1581-1608

Author(s):

V. F. Butuzov

Keyword(s):

Boundary Layer ◽

Asymptotic Behaviour ◽

Dissipative System ◽

Multiple Root ◽

Degenerate Equation ◽

Boundary Layer Solution ◽

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On the dependence of the structure of boundary layers on the boundary conditions in a singularly perturbed boundary-value problem with multiple root of the related degenerate equation

Mathematical Notes ◽

10.1134/s0001434616010247 ◽

2016 ◽

Vol 99 (1-2) ◽

pp. 210-221 ◽

Author(s):

V. F. Butuzov

Keyword(s):

Boundary Value Problem ◽

Boundary Conditions ◽

Boundary Layers ◽

Boundary Value ◽

Multiple Root ◽

Singularly Perturbed ◽

Degenerate Equation

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Asymptotic behaviour and stability of solutions of a singularly perturbed elliptic problem with a triple root of the degenerate equation

Izvestiya Mathematics ◽

10.1070/im8478 ◽

2017 ◽

Vol 81 (3) ◽

pp. 481-504 ◽

Author(s):

V F Butuzov

Keyword(s):

Asymptotic Behaviour ◽

Elliptic Problem ◽

Singularly Perturbed ◽

Degenerate Equation ◽

Stability Of Solutions

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On singularly perturbed systems of ODE with a multiple root of the degenerate equation

Izvestiya Mathematics ◽

10.1070/im8829 ◽

2020 ◽

Vol 84 (2) ◽

pp. 262-290

Author(s):

V. F. Butuzov

Keyword(s):

Multiple Root ◽

Singularly Perturbed ◽

Degenerate Equation ◽

Singularly Perturbed Systems ◽

Perturbed Systems

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On the stability and the attraction domain of the stationary solution of a singularly perturbed parabolic equation with a multiple root of the degenerate equation

Differential Equations ◽

10.1134/s0012266115120046 ◽

2015 ◽

Vol 51 (12) ◽

pp. 1569-1582 ◽

Author(s):

V. F. Butuzov

Keyword(s):

Parabolic Equation ◽

Stationary Solution ◽

Multiple Root ◽

Singularly Perturbed ◽

Attraction Domain ◽

Degenerate Equation ◽

Singularly Perturbed Parabolic Equation ◽

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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 ◽

Singularly Perturbed System ◽

Perturbed System

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On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation

Mathematical Notes ◽

10.1134/s0001434613070067 ◽

2013 ◽

Vol 94 (1-2) ◽

pp. 60-70 ◽

Author(s):

V. F. Butuzov

Keyword(s):

Boundary Layer ◽

Multiple Root ◽

Singularly Perturbed ◽

Degenerate Equation ◽

Singularly Perturbed Problems

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Asymptotics, Stability and Region of Attraction of a Periodic Solution to a Singularly Perturbed Parabolic Problem in Case of a Multiple Root of the Degenerate Equation

Modeling and Analysis of Information Systems ◽

10.18255/1818-1015-2016-3-248-258 ◽

2016 ◽

Vol 23 (3) ◽

pp. 248-258 ◽

Author(s):

V. F. Butuzov ◽

N. N. Nefedov ◽

L. Recke ◽

K. Schneider

Keyword(s):

Periodic Solution ◽

Parabolic Problem ◽

Multiple Root ◽

Singularly Perturbed ◽

Degenerate Equation ◽

Region Of Attraction ◽

Singularly Perturbed Parabolic Problem

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Asymptotics of the solution of a system of singularly perturbed equations in the case of a multiple root of the degenerate equation

Differential Equations ◽

10.1134/s0012266114020050 ◽

2014 ◽

Vol 50 (2) ◽

pp. 177-188 ◽

Author(s):

V. F. Butuzov

Keyword(s):

Multiple Root ◽

Singularly Perturbed ◽

Degenerate Equation ◽

Singularly Perturbed Equations

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A singularly perturbed elliptic problem in the case of a multiple root of the degenerate equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542513080034 ◽

2013 ◽

Vol 53 (8) ◽

pp. 1117-1127 ◽

Author(s):

V. A. Beloshapko ◽

V. F. Butuzov

Keyword(s):

Elliptic Problem ◽

Multiple Root ◽

Singularly Perturbed ◽

Degenerate Equation

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