Edit Profile (opens in new tab) Butuzov, Valentin Fëdorovich Co-Author Distance Author ID: butuzov.valentin-fedorovich Published as: Butuzov, V. F.; Butuzov, Valentin F.; Butuzov, Valentin Fedorovich; Butuzov, Valentin; Butusov, V. F. more...less External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 172 Publications since 1963, including 7 Books 1 Contribution as Editor Biographic References: 3 Publications Co-Authors: 55 Co-Authors with 127 Joint Publications 1,903 Co-Co-Authors all top 5 Co-Authors 45 single-authored 26 Nefedov, Nikolaĭ Nikolaevich 21 Vasil’eva, Adelaida Borisovna 14 Nedel’ko, I. V. 13 Schneider, Klaus R. 7 Recke, Lutz 7 Urazgil’dina, T. A. 6 Nesterov, A. V. 6 Nikitin, Anatoly Glebovich 5 Levashova, Natalia T. 4 Buchnev, V. Yu. 4 Kalachev, Leonid V. 4 Kiryushin, V. V. 4 Krutitskaya, N. Ch 4 Mamonov, V. M. 4 Shishkin, A. A. 3 Bychkov, A. I. 3 Derkunova, Elena Anatol’evna 3 Esimova, S. T. 3 Gromova, E. A. 3 Medvedev, G. N. 2 Beloshapko, V. A. 2 Karashchuk, A. F. 2 Kolomijtseva, E. A. 2 Kostin, Andrey Viktorovich 2 Kryazhimskiĭ, S. A. 2 Melnikova, A. A. 2 Moiseev, Evgeniĭ Ivanovich 2 Omel’chenko, Oleh E. 2 Terent’ev, M. A. 2 Udodov, Yu. P. 1 Aleksandrov, Pavel Sergeevich 1 Alkhutov, Yuriy Alexandrovich 1 Bakhvalov, Nikolaĭ Sergeevich 1 Bogolyubov, Aleksandr Nikolaevich 1 Chechkin, Gregory Aleksandrovich 1 Chubarikov, Vladimir Nikolaevich 1 Fedoryuk, Mikhail V. 1 Fedotova, E. V. 1 Fomin, Sergeĭ Vasil’evich 1 Iliin, V. A. 1 Il’in, Vladimir Aleksandrovich 1 Il’inskiĭ, Anatoliĭ Serafimovich 1 Kon’kov, Andrej A. 1 Kostomarov, Dmitrii Pavlovich 1 Kozlov, Valeriĭ Vasil’evich 1 Mikhalëv, Aleksandr Vasil’evich 1 Polezhaeva, E. V. 1 Radkevich, Evgeniĭ Vladimirovich 1 Rozov, Nikolaĭ Khristovich 1 Sadovnichiĭ, Viktor Antonovich 1 Samarskiĭ, Aleksandr Andreevich 1 Sergeev, Igor’ Nikolaevich 1 Shkalikov, Andreĭ Andreevich 1 Simakov, R. E. 1 Surnachëv, Mikhaĭl Dmitrievich 1 Sushkevich, Tamara A. 1 Tikhomirov, Vladimir Mikhaĭlovich 1 Tikhonov, Andreĭ Nikolaevich 1 Voevodin, Valentin Vasil’evich all top 5 Serials 23 Differential Equations 17 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 16 Computational Mathematics and Mathematical Physics 15 Differential Equations 11 Differentsial’nye Uravneniya 10 U.S.S.R. Computational Mathematics and Mathematical Physics 7 Mathematical Notes 6 Moscow University Computational Mathematics and Cybernetics 4 Journal of Mathematical Analysis and Applications 4 Fundamental’naya i Prikladnaya Matematika 4 Doklady Mathematics 4 Matematicheskoe Modelirovanie 3 Journal of Differential Equations 3 Soviet Mathematics. Doklady 3 Journal of Mathematical Sciences (New York) 3 Sbornik: Mathematics 3 Izvestiya: Mathematics 2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 Chebyshevskiĭ Sbornik 1 Applicable Analysis 1 Journal of Applied Mathematics and Mechanics 1 Moscow University Physics Bulletin 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Computational Mathematics and Modeling 1 Automation and Remote Control 1 Mathematics of the USSR, Sbornik 1 Vestnik Moskovskogo Universiteta. Seriya 15 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Journal of Mathematical Physics 1 Natural Resource Modeling 1 Discrete and Continuous Dynamical Systems. Series B 1 Proceedings of the Steklov Institute of Mathematics 1 SIAM Studies in Applied Mathematics all top 5 Fields 125 Partial differential equations (35-XX) 39 Ordinary differential equations (34-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 General and overarching topics; collections (00-XX) 4 Integral equations (45-XX) 4 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 2 Mechanics of deformable solids (74-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 109 Publications have been cited 876 times in 466 Documents Cited by ▼ Year ▼ Asymptotic methods in the theory of singular perturbations. (Асимптотические методы в теории сингулярных возмущений.) Zbl 0747.34033 Vasil’eva, A. B.; Butuzov, V. F. 124 1990 Asymptotic expansion of solutions for singularly perturbed equations. (Асимптотические разложения решений сингулярно возмущенных уравнений.) Zbl 0364.34028 Vasil’eva, A. B.; Butuzov, V. F. 122 1973 The boundary function method for singular perturbation problems. Zbl 0823.34059 Vasil’eva, Adelaida B.; Butuzov, Valentin F.; Kalachev, Leonid V. 76 1995 Singularly perturbed problems with boundary and internal layers. Zbl 1207.35039 Vasil’eva, A. B.; Butuzov, V. F.; Nefedov, N. N. 54 2010 Contrast structures in singularly perturbed problems. Zbl 0963.34043 Vasil’eva, A. B.; Butuzov, V. F.; Nefedov, N. N. 53 1998 On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation. Zbl 1284.34099 Butuzov, V. F. 23 2013 Asymptotic theory of contrast structures (review). Zbl 0921.34054 Butuzov, V. F.; Vasil’eva, A. B.; Nefedov, N. N. 22 1997 Singularly perturbed elliptic problems in the case of exchange of stabilities. Zbl 0974.35039 Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 20 2001 Singularly perturbed problems in case of exchange of stabilities. Zbl 1081.34051 Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 19 2004 Steplike contrast structure in a singularly perturbed system of equations with different powers of a small parameter. Zbl 1274.35014 Butuzov, V. F.; Levashova, N. T.; Mel’nikova, A. A. 15 2012 Time-periodic boundary layer solutions to singularly perturbed parabolic problems. Zbl 1362.35031 Omel’chenko, O. E.; Recke, L.; Butuzov, V. F.; Nefedov, N. N. 14 2017 On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation. Zbl 1224.35225 Butuzov, V. F. 14 2011 On a singularly perturbed initial value problem in the case of a double root of the degenerate equation. Zbl 1268.34104 Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. 12 2013 Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation. Zbl 1350.35013 Butuzov, V. F.; Bychkov, A. I. 11 2016 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. Zbl 1517.34082 Butuzov, V. F. 11 2015 Asymptotics of the solution of an initial-boundary value problem for a singularly perturbed parabolic equation in the case of double root of the degenerate equation. Zbl 1295.35032 Butuzov, V. F.; Bychkov, A. I. 10 2013 Asymptotic properties of the solution of a finite-difference equation with small steps in a rectangular region. Zbl 0278.65103 Butuzov, V. F. 9 1973 Asymptotic behaviour and stability of solutions of a singularly perturbed elliptic problem with a triple root of the degenerate equation. Zbl 1373.35026 Butuzov, Valentin F. 9 2017 Singularly perturbed boundary value problems in case of exchange of stability. Zbl 0924.34014 Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 8 1999 The asymptotic properties of solutions of the equation \(\mu^2\Delta u- k^2(x,y)u=f(x,y)\) in a rectangle. Zbl 0306.35037 Butuzov, V. F. 8 1975 On asymptotics for the solution of a singularly perturbed parabolic problem with a multizone internal transition layer. Zbl 1397.35011 Butuzov, V. F. 7 2018 A step-like contrast structure in a singularly perturbed system of elliptic equations. Zbl 1299.35027 Butuzov, V. F.; Levashova, N. T.; Mel’nikova, A. A. 7 2013 Asymptotics of the solution of a system of singularly perturbed equations in the case of a multiple root of the degenerate equation. Zbl 1367.34081 Butuzov, V. F. 7 2014 A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability. Zbl 0920.34023 Butuzov, V. F.; Nefedov, N. N. 6 1998 Initial boundary value problem for a singularly perturbed parabolic equation in case of exchange of stability. Zbl 1005.35055 Butuzov, V. F.; Smurov, I. 6 1999 Singularly perturbed boundary value problems for systems of Tichonov’s type in case of exchange of stabilities. Zbl 0944.34048 Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 6 1999 Asymptotisches Verhalten der Lösung der Gleichung \(\mu ^2 \Delta u - k^2 (x,y) u=f(x,y)\) in einem rechteckigen Gebiet. Zbl 0271.35016 Butuzov, V. F. 6 1973 A singularly perturbed elliptic equation with two small parameters. Zbl 0366.35008 Butuzov, V. F. 6 1977 Mathematical analysis in questions and answers. (Matematicheskij analiz v voprosakh i zadachakh). 3rd rev. ed. (Matematicheskij analiz v voprosakh i zadachakh.) Zbl 1029.00002 Butuzov, V. F.; Krutitskaya, N. Ch.; Medvedev, G. N.; Shishkin, A. A. 6 2000 Asymptotic of a solution of contrast-structure type. Zbl 0725.34061 Butuzov, V. F.; Vasil’eva, A. B. 6 1987 Asymptotic behaviour of the solution to a singularly perturbed partially dissipative system with a multiple root of the degenerate equation. Zbl 1361.35085 Butuzov, Valentin F. 6 2016 Periodic solutions with a boundary layer of reaction-diffusion equations with singularly perturbed Neumann boundary conditions. Zbl 1300.35002 Butuzov, Valentin F.; Nefedov, Nikolay N.; Recke, Lutz; Schneider, Klaus R. 6 2014 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. Zbl 1347.34093 Butuzov, V. F. 6 2016 On the stability and domain of attraction of asymptotically nonsmooth stationary solutions to a singularly perturbed parabolic equation. Zbl 1210.35147 Butuzov, V. F. 6 2006 Spikelike contrast structures in the parabolic system of two singularly perturbed equations. Zbl 0940.35023 Butuzov, V. F. 5 1997 Asymptotic approximation of solution of boundary-value problem for a singularly perturbed parabolic equation in the critical case. Zbl 0628.35049 Butuzov, V. F.; Kalachëv, L. V. 5 1986 Die Winkelgrenzschicht in singulär gestörten Problemen mit partiellen Ableitungen. Zbl 0423.35025 Butuzov, V. F. 4 1979 A problem in singular-perturbation theory. Zbl 0375.34035 Butuzov, V. F.; Nefedov, N. N. 4 1977 A singularly perturbed elliptic problem in the case of a multiple root of the degenerate equation. Zbl 1299.35026 Beloshapko, V. A.; Butuzov, V. F. 4 2013 Region of attraction of a periodic solution to a singularly perturbed parabolic problem. Zbl 1253.35011 Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. 4 2012 Asymptotics of a solution of a singularly perturbed parabolic problem in the two-dimensional case. Zbl 0688.35031 Butuzov, V. F.; Buchnev, V. Yu. 4 1989 Differential and difference equation systems with a small parameter for the case in which the unperturbed (singular) system is in the spectrum. Zbl 0249.65056 Butuzov, V. F.; Vasil’eva, A. B. 4 1973 On singularly perturbed systems of ODE with a multiple root of the degenerate equation. Zbl 1445.34087 Butuzov, Valentin F. 4 2020 Asymptotic behaviour of a boundary layer solution to a stationary partly dissipative system with a multiple root of the degenerate equation. Zbl 1480.34077 Butuzov, V. F. 4 2019 Asymptotic expansion of the solution to a partially dissipative system of equations with a multizone boundary layer. Zbl 1443.34054 Butuzov, V. F. 4 2019 The asymptotics of solutions of some model problems in chemical kinetics, taking diffusion into account. Zbl 0416.35010 Butuzov, V. F. 3 1978 One singularly perturbed equation of parabolic type. Zbl 0445.35014 Butuzov, V. F.; Nesterov, A. V. 3 1978 Singularly perturbed reaction-diffusion systems in cases of exchange of stabilities. Zbl 0980.35023 Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 3 2000 A steplike contrast structure in a singularly perturbed system of elliptic equations with different power of a small parameter. Zbl 0993.35036 Butuzov, V. F.; Nedel’ko, I. V. 3 2000 Asymptotic approximation of the solution of a singularly perturbed parabolic two-dimensional problem with a nonsmooth limit solution. Zbl 0714.35007 Butuzov, V. F.; Buchnev, V. Yu. 3 1989 Asymptotic solution of the linearized problem of the propagation of sound in a bounded medium with low viscosity. Zbl 0659.76092 Butuzov, V. F.; Nefëdov, N. N.; Fedotova, E. V. 3 1987 The asymptotic behaviour of the solution of a singularly perturbed two- dimensional problem of the reaction-diffusion-transport type. Zbl 0779.35015 Butuzov, V. F.; Buchnev, V. Yu. 3 1991 Asymptotics of solutions to a boundary value problem for the heat equation with a powerful nonlinear source in a thin rod. Zbl 0856.35053 Butuzov, V. F.; Urazgil’dina, T. A. 3 1995 On a system of reaction-diffusion-transfer type in the case of small diffusion and fast reactions. Zbl 1136.35408 Butuzov, V. F.; Levashova, N. T. 3 2003 Singularly perturbed differential equations of parabolic type. Zbl 0506.35010 Butuzov, V. F.; Vasil’eva, A. B. 3 1983 On some singularly perturbed problems with nonsmooth boundary functions. Zbl 0508.35012 Butuzov, V. F.; Nesterov, A. V. 3 1982 Asymptotic methods in the theory of ordinary differential equations. Zbl 0246.34055 Butuzov, V. F.; Vasil’eva, A. B.; Fedoryuk, M. V. 3 1970 Asymptotic behavior and stability of a stationary boundary-layer solution to a partially dissipative system of equations. Zbl 1430.35014 Butuzov, V. F. 3 2019 On a singularly perturbed reaction-diffusion-transfer system in the case of slow diffusion and fast reactions. Zbl 0867.35007 Butuzov, V. F.; Levashova, N. T. 3 1995 Existence and stability of solutions with periodically moving weak internal layers. Zbl 1158.35010 Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. 3 2008 Asymptotic properties of solutions of singularly perturbed elliptic equations in rectangular regions. Zbl 0334.35007 Butuzov, V. F. 2 1976 Über ein Problem der Theorie der singulären Störungen. Zbl 0338.34054 Butuzov, V. F.; Nefedov, N. N. 2 1976 Eine singulär gestörte Gleichung elliptischen Typs mit zwei kleinen Parametern. Zbl 0341.35006 Butuzov, V. F. 2 1976 Winkelgrenzschicht in gemischten singulär gestörten Problemen für hyperbolische Gleichungen. Zbl 0367.35007 Butuzov, V. F. 2 1977 Singularly perturbed partly dissipative reaction-diffusion systems in case of exchange of stabilities. Zbl 1192.35096 Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 2 2002 Asymptotics of the solution to a singularly perturbed elliptic problem with a three-zone boundary layer. Zbl 1362.35029 Beloshapko, V. A.; Butuzov, V. F. 2 2016 Some singularly perturbed hyperbolic problems with transitional layers. Zbl 0625.35052 Butuzov, V. F.; Nesterov, A. V. 2 1986 One singularly perturbed system of partial differential equations of the first order. Zbl 0859.35007 Butuzov, V. F.; Karashchuk, A. F. 2 1995 Asymptotisches Verhalten der Lösung einer Integrodifferentialgleichung mit einem kleinem Parameter der Abteilung. Zbl 0184.14402 Vasil’eva, A. B.; Butuzov, V. F. 2 1964 Asymptotics of a Spike type contrast structure in a problem with a multiple root of the degenerate equation. Zbl 1460.34070 Butuzov, V. F. 2 2019 On one singularly perturbed system of ordinary differential equations with multiple root of the degenerate equation. Zbl 1440.34059 Butuzov, V. F. 2 2019 The initial-boundary value problem for a singularly perturbed parabolic equation in the case of double and triple root of the degenerate equation. Zbl 1441.35149 Butuzov, V. F.; Bychkov, A. I. 2 2015 Boundary layer solutions to singularly perturbed quasilinear systems. Zbl 1507.34063 Butuzov, Valentin; Nefedov, Nikolay; Omel’chenko, Oleh; Recke, Lutz 2 2022 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. Zbl 1279.34067 Butuzov, V. F. 2 2006 Boundary value problem for a system of fast and slow second-order equations in the case of intersecting roots of the degenerate equation. Zbl 1036.34061 Butuzov, V. F.; Gromova, E. A. 2 2001 Corner boundary layers in singularly perturbed problems for partial differential equations. Zbl 0437.35012 Butuzov, V. F. 1 1980 Asymptotic solution of a system of singularly disturbed equations of elliptic type with angular boundary layer. Zbl 0468.35012 Butuzov, V. F.; Udodov, Yu. P. 1 1981 Über das asymptotische Verhalten der Lösungen singulär gestörter Gleichungen elliptischen Typs in einem rechteckigen Gebiet. Zbl 0316.35002 Butuzov, V. F. 1 1975 On the global domain of influence of stable solutions with interior layers in the two-dimensional case. Zbl 1091.35037 Butuzov, V. F.; Nedel’ko, I. V. 1 2002 Asymptotics of the solution of a system of equations in partial derivatives of the first order with a small parameter at some derivatives. Zbl 0982.35011 Butuzov, V. F.; Karashchuk, A. F. 1 2000 Asymptotics of the solution of non-stationary interphase convection problem in thin layer of viscous fluid. Zbl 1075.76680 Butuzov, V. F.; Urazgil’dina, T. A. 1 1994 Asymptotic solution of Marangoni convection problem in a thin layer of viscous fluid. Zbl 0974.76570 Butuzov, V. F.; Urazgil’dina, T. A. 1 1990 Global influence domains of stable solutions with internal layers. Zbl 1009.35008 Butuzov, V. F.; Nedel’ko, I. V. 1 2001 The angular boundary layer in mixed singularly perturbed problems for hyperbolic equations. Zbl 0398.35005 Butuzov, V. F. 1 1977 Asymptotic behavior of the solution of the heat equation with a nonlinear heat source in a thin rod. Zbl 1161.35430 Butuzov, V. F.; Derkunova, E. A. 1 1996 Existence, asymptotics, stability and region of attraction of a periodic boundary layer solution in case of a double root of the degenerate equation. Zbl 1418.35018 Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. 1 2018 Singularly disturbed elliptic boundary value problem in a rectangle in the critical case. Zbl 0589.35039 Butuzov, V. F.; Nikitin, A. G. 1 1984 Asymptotic solution of the heat propagation problem in thin bodies. Zbl 0621.35056 Butuzov, V. F.; Urazgil’dina, T. A. 1 1987 The asymptotic theory of contrasting spatial structures. Zbl 0702.35124 Butuzov, V. F.; Vasil’eva, A. B. 1 1988 On a singularly perturbed quasilinear parabolic problem with unsmooth corner boundary functions. Zbl 0711.35009 Butuzov, V. F.; Mamonov, V. M. 1 1987 The asymptotic solution of linearized problems on the natural and forced resonance oscillations of a medium of low viscosity. Zbl 0713.76064 Butuzov, V. F.; Nefëdov, N. N.; Polezhaeva, E. V. 1 1989 The boundary-function method. Zbl 0644.35008 Vasil’eva, A. B.; Butuzov, V. F. 1 1985 Asymptotic solution of the problem concerning the propagation of heat in thin bodies. Zbl 0662.35064 Butuzov, V. F.; Urazgil’dina, T. A. 1 1987 Boundary layer methods in singularly perturbed partial differential equations. Zbl 0674.35003 Vasil’eva, A. B.; Butuzov, V. F. 1 1986 Spatially periodic contrast structures in singularly perturbed elliptic problems. Zbl 0897.35007 Butuzov, V. F.; Nefedov, N. N. 1 1996 Singularly perturbed systems of reaction-diffusion-transport type. Zbl 0838.35007 Butuzov, V. F. 1 1993 On the formation of a solution with an internal layer in a parabolic system with different Powers of a small parameter. Zbl 1068.35011 Butuzov, V. F.; Nedel’ko, I. V. 1 2004 System of singularly perturbed equations in the case of intersecting roots of a degenerate system. Zbl 1079.34530 Butuzov, V. F.; Terent’ev, M. A. 1 2002 Asymptotic behavior of the solution of a singularly perturbed system of reaction-diffusion equations in a thin rod. Zbl 1136.35402 Butuzov, V. F.; Levashova, N. T. 1 2003 Asymptotic behaviour of solutions of differential equations with a small parameter of the derivative in a semi-infinite interval. (Asymptotik der Lösungen von Differentialgleichungen mit einem kleinen Parameter bei der Ableitung auf einem halbunendlichen Intervall.) Zbl 0144.10503 Butuzov, V. F. 1 1965 Boundary layer solutions to singularly perturbed quasilinear systems. Zbl 1507.34063 Butuzov, Valentin; Nefedov, Nikolay; Omel’chenko, Oleh; Recke, Lutz 2 2022 Asymptotics of a steplike contrast structure in a partially dissipative stationary system of equations. Zbl 1466.34054 Butuzov, V. F. 1 2021 Asymptotics of the solution of a singularly perturbed system of equations with a multizone internal layer. Zbl 1469.34077 Butuzov, V. F.; Simakov, R. E. 1 2021 On singularly perturbed systems of ODE with a multiple root of the degenerate equation. Zbl 1445.34087 Butuzov, Valentin F. 4 2020 Asymptotic behaviour of a boundary layer solution to a stationary partly dissipative system with a multiple root of the degenerate equation. Zbl 1480.34077 Butuzov, V. F. 4 2019 Asymptotic expansion of the solution to a partially dissipative system of equations with a multizone boundary layer. Zbl 1443.34054 Butuzov, V. F. 4 2019 Asymptotic behavior and stability of a stationary boundary-layer solution to a partially dissipative system of equations. Zbl 1430.35014 Butuzov, V. F. 3 2019 Asymptotics of a Spike type contrast structure in a problem with a multiple root of the degenerate equation. Zbl 1460.34070 Butuzov, V. F. 2 2019 On one singularly perturbed system of ordinary differential equations with multiple root of the degenerate equation. Zbl 1440.34059 Butuzov, V. F. 2 2019 On asymptotics for the solution of a singularly perturbed parabolic problem with a multizone internal transition layer. Zbl 1397.35011 Butuzov, V. F. 7 2018 Existence, asymptotics, stability and region of attraction of a periodic boundary layer solution in case of a double root of the degenerate equation. Zbl 1418.35018 Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. 1 2018 Time-periodic boundary layer solutions to singularly perturbed parabolic problems. Zbl 1362.35031 Omel’chenko, O. E.; Recke, L.; Butuzov, V. F.; Nefedov, N. N. 14 2017 Asymptotic behaviour and stability of solutions of a singularly perturbed elliptic problem with a triple root of the degenerate equation. Zbl 1373.35026 Butuzov, Valentin F. 9 2017 Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation. Zbl 1350.35013 Butuzov, V. F.; Bychkov, A. I. 11 2016 Asymptotic behaviour of the solution to a singularly perturbed partially dissipative system with a multiple root of the degenerate equation. Zbl 1361.35085 Butuzov, Valentin F. 6 2016 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. Zbl 1347.34093 Butuzov, V. F. 6 2016 Asymptotics of the solution to a singularly perturbed elliptic problem with a three-zone boundary layer. Zbl 1362.35029 Beloshapko, V. A.; Butuzov, V. F. 2 2016 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. Zbl 1517.34082 Butuzov, V. F. 11 2015 The initial-boundary value problem for a singularly perturbed parabolic equation in the case of double and triple root of the degenerate equation. Zbl 1441.35149 Butuzov, V. F.; Bychkov, A. I. 2 2015 Asymptotics of the solution of a system of singularly perturbed equations in the case of a multiple root of the degenerate equation. Zbl 1367.34081 Butuzov, V. F. 7 2014 Periodic solutions with a boundary layer of reaction-diffusion equations with singularly perturbed Neumann boundary conditions. Zbl 1300.35002 Butuzov, Valentin F.; Nefedov, Nikolay N.; Recke, Lutz; Schneider, Klaus R. 6 2014 On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation. Zbl 1284.34099 Butuzov, V. F. 23 2013 On a singularly perturbed initial value problem in the case of a double root of the degenerate equation. Zbl 1268.34104 Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. 12 2013 Asymptotics of the solution of an initial-boundary value problem for a singularly perturbed parabolic equation in the case of double root of the degenerate equation. Zbl 1295.35032 Butuzov, V. F.; Bychkov, A. I. 10 2013 A step-like contrast structure in a singularly perturbed system of elliptic equations. Zbl 1299.35027 Butuzov, V. F.; Levashova, N. T.; Mel’nikova, A. A. 7 2013 A singularly perturbed elliptic problem in the case of a multiple root of the degenerate equation. Zbl 1299.35026 Beloshapko, V. A.; Butuzov, V. F. 4 2013 Steplike contrast structure in a singularly perturbed system of equations with different powers of a small parameter. Zbl 1274.35014 Butuzov, V. F.; Levashova, N. T.; Mel’nikova, A. A. 15 2012 Region of attraction of a periodic solution to a singularly perturbed parabolic problem. Zbl 1253.35011 Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. 4 2012 On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation. Zbl 1224.35225 Butuzov, V. F. 14 2011 Singularly perturbed problems with boundary and internal layers. Zbl 1207.35039 Vasil’eva, A. B.; Butuzov, V. F.; Nefedov, N. N. 54 2010 Existence and stability of solutions with periodically moving weak internal layers. Zbl 1158.35010 Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. 3 2008 On the stability and domain of attraction of asymptotically nonsmooth stationary solutions to a singularly perturbed parabolic equation. Zbl 1210.35147 Butuzov, V. F. 6 2006 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. Zbl 1279.34067 Butuzov, V. F. 2 2006 On a singularly perturbed system of first-order partial differential equations with various degrees of a small parameter. Zbl 1140.35004 Butuzov, V. F.; Derkunova, E. A. 1 2006 Singularly perturbed problems in case of exchange of stabilities. Zbl 1081.34051 Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 19 2004 On the formation of a solution with an internal layer in a parabolic system with different Powers of a small parameter. Zbl 1068.35011 Butuzov, V. F.; Nedel’ko, I. V. 1 2004 On a system of reaction-diffusion-transfer type in the case of small diffusion and fast reactions. Zbl 1136.35408 Butuzov, V. F.; Levashova, N. T. 3 2003 Asymptotic behavior of the solution of a singularly perturbed system of reaction-diffusion equations in a thin rod. Zbl 1136.35402 Butuzov, V. F.; Levashova, N. T. 1 2003 Singularly perturbed partly dissipative reaction-diffusion systems in case of exchange of stabilities. Zbl 1192.35096 Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 2 2002 On the global domain of influence of stable solutions with interior layers in the two-dimensional case. Zbl 1091.35037 Butuzov, V. F.; Nedel’ko, I. V. 1 2002 System of singularly perturbed equations in the case of intersecting roots of a degenerate system. Zbl 1079.34530 Butuzov, V. F.; Terent’ev, M. A. 1 2002 Singularly perturbed elliptic problems in the case of exchange of stabilities. Zbl 0974.35039 Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 20 2001 Boundary value problem for a system of fast and slow second-order equations in the case of intersecting roots of the degenerate equation. Zbl 1036.34061 Butuzov, V. F.; Gromova, E. A. 2 2001 Global influence domains of stable solutions with internal layers. Zbl 1009.35008 Butuzov, V. F.; Nedel’ko, I. V. 1 2001 Mathematical analysis in questions and answers. (Matematicheskij analiz v voprosakh i zadachakh). 3rd rev. ed. (Matematicheskij analiz v voprosakh i zadachakh.) Zbl 1029.00002 Butuzov, V. F.; Krutitskaya, N. Ch.; Medvedev, G. N.; Shishkin, A. A. 6 2000 Singularly perturbed reaction-diffusion systems in cases of exchange of stabilities. Zbl 0980.35023 Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 3 2000 A steplike contrast structure in a singularly perturbed system of elliptic equations with different power of a small parameter. Zbl 0993.35036 Butuzov, V. F.; Nedel’ko, I. V. 3 2000 Asymptotics of the solution of a system of equations in partial derivatives of the first order with a small parameter at some derivatives. Zbl 0982.35011 Butuzov, V. F.; Karashchuk, A. F. 1 2000 Singularly perturbed boundary value problems in case of exchange of stability. Zbl 0924.34014 Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 8 1999 Initial boundary value problem for a singularly perturbed parabolic equation in case of exchange of stability. Zbl 1005.35055 Butuzov, V. F.; Smurov, I. 6 1999 Singularly perturbed boundary value problems for systems of Tichonov’s type in case of exchange of stabilities. Zbl 0944.34048 Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. 6 1999 Contrast structures in singularly perturbed problems. Zbl 0963.34043 Vasil’eva, A. B.; Butuzov, V. F.; Nefedov, N. N. 53 1998 A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability. Zbl 0920.34023 Butuzov, V. F.; Nefedov, N. N. 6 1998 Asymptotic theory of contrast structures (review). Zbl 0921.34054 Butuzov, V. F.; Vasil’eva, A. B.; Nefedov, N. N. 22 1997 Spikelike contrast structures in the parabolic system of two singularly perturbed equations. Zbl 0940.35023 Butuzov, V. F. 5 1997 Asymptotic behavior of the solution of the heat equation with a nonlinear heat source in a thin rod. Zbl 1161.35430 Butuzov, V. F.; Derkunova, E. A. 1 1996 Spatially periodic contrast structures in singularly perturbed elliptic problems. Zbl 0897.35007 Butuzov, V. F.; Nefedov, N. N. 1 1996 The boundary function method for singular perturbation problems. Zbl 0823.34059 Vasil’eva, Adelaida B.; Butuzov, Valentin F.; Kalachev, Leonid V. 76 1995 Asymptotics of solutions to a boundary value problem for the heat equation with a powerful nonlinear source in a thin rod. Zbl 0856.35053 Butuzov, V. F.; Urazgil’dina, T. A. 3 1995 On a singularly perturbed reaction-diffusion-transfer system in the case of slow diffusion and fast reactions. Zbl 0867.35007 Butuzov, V. F.; Levashova, N. T. 3 1995 One singularly perturbed system of partial differential equations of the first order. Zbl 0859.35007 Butuzov, V. F.; Karashchuk, A. F. 2 1995 Asymptotics of the solution of non-stationary interphase convection problem in thin layer of viscous fluid. Zbl 1075.76680 Butuzov, V. F.; Urazgil’dina, T. A. 1 1994 Singularly perturbed systems of reaction-diffusion-transport type. Zbl 0838.35007 Butuzov, V. F. 1 1993 The asymptotic behaviour of the solution of a singularly perturbed two- dimensional problem of the reaction-diffusion-transport type. Zbl 0779.35015 Butuzov, V. F.; Buchnev, V. Yu. 3 1991 Asymptotic methods in the theory of singular perturbations. (Асимптотические методы в теории сингулярных возмущений.) Zbl 0747.34033 Vasil’eva, A. B.; Butuzov, V. F. 124 1990 Asymptotic solution of Marangoni convection problem in a thin layer of viscous fluid. Zbl 0974.76570 Butuzov, V. F.; Urazgil’dina, T. A. 1 1990 Asymptotics of a solution of a singularly perturbed parabolic problem in the two-dimensional case. Zbl 0688.35031 Butuzov, V. F.; Buchnev, V. Yu. 4 1989 Asymptotic approximation of the solution of a singularly perturbed parabolic two-dimensional problem with a nonsmooth limit solution. Zbl 0714.35007 Butuzov, V. F.; Buchnev, V. Yu. 3 1989 The asymptotic solution of linearized problems on the natural and forced resonance oscillations of a medium of low viscosity. Zbl 0713.76064 Butuzov, V. F.; Nefëdov, N. N.; Polezhaeva, E. V. 1 1989 The asymptotic theory of contrasting spatial structures. Zbl 0702.35124 Butuzov, V. F.; Vasil’eva, A. B. 1 1988 Asymptotic of a solution of contrast-structure type. Zbl 0725.34061 Butuzov, V. F.; Vasil’eva, A. B. 6 1987 Asymptotic solution of the linearized problem of the propagation of sound in a bounded medium with low viscosity. Zbl 0659.76092 Butuzov, V. F.; Nefëdov, N. N.; Fedotova, E. V. 3 1987 Asymptotic solution of the heat propagation problem in thin bodies. Zbl 0621.35056 Butuzov, V. F.; Urazgil’dina, T. A. 1 1987 On a singularly perturbed quasilinear parabolic problem with unsmooth corner boundary functions. Zbl 0711.35009 Butuzov, V. F.; Mamonov, V. M. 1 1987 Asymptotic solution of the problem concerning the propagation of heat in thin bodies. Zbl 0662.35064 Butuzov, V. F.; Urazgil’dina, T. A. 1 1987 Asymptotic solution of a quasistatic thermoelaticity problem for a slender rod. Zbl 0677.73011 Butuzov, V. F.; Urazgil’dina, T. A. 1 1987 Asymptotic approximation of solution of boundary-value problem for a singularly perturbed parabolic equation in the critical case. Zbl 0628.35049 Butuzov, V. F.; Kalachëv, L. V. 5 1986 Some singularly perturbed hyperbolic problems with transitional layers. Zbl 0625.35052 Butuzov, V. F.; Nesterov, A. V. 2 1986 Boundary layer methods in singularly perturbed partial differential equations. Zbl 0674.35003 Vasil’eva, A. B.; Butuzov, V. F. 1 1986 The boundary-function method. Zbl 0644.35008 Vasil’eva, A. B.; Butuzov, V. F. 1 1985 Singularly disturbed elliptic boundary value problem in a rectangle in the critical case. Zbl 0589.35039 Butuzov, V. F.; Nikitin, A. G. 1 1984 Singularly perturbed differential equations of parabolic type. Zbl 0506.35010 Butuzov, V. F.; Vasil’eva, A. B. 3 1983 On some singularly perturbed problems with nonsmooth boundary functions. Zbl 0508.35012 Butuzov, V. F.; Nesterov, A. V. 3 1982 On the asymptotic behaviour of the solution of a parabolic equation with small parameters in the highest derivatives. Zbl 0548.35057 Butuzov, V. F.; Nesterov, A. V. 1 1982 On the asymptotic behavior of the solution of an equation of parabolic type with small parameters at the higher derivatives. Zbl 0513.35038 Butuzov, V. F.; Nesterov, A. V. 1 1982 Singularly perturbed elliptic boundary-value problems in the critical case. Zbl 0564.35003 Butuzov, V. F.; Mamonov, V. M. 1 1982 Asymptotic solution of a system of singularly disturbed equations of elliptic type with angular boundary layer. Zbl 0468.35012 Butuzov, V. F.; Udodov, Yu. P. 1 1981 Corner boundary layers in singularly perturbed problems for partial differential equations. Zbl 0437.35012 Butuzov, V. F. 1 1980 Die Winkelgrenzschicht in singulär gestörten Problemen mit partiellen Ableitungen. Zbl 0423.35025 Butuzov, V. F. 4 1979 The asymptotics of solutions of some model problems in chemical kinetics, taking diffusion into account. Zbl 0416.35010 Butuzov, V. F. 3 1978 One singularly perturbed equation of parabolic type. Zbl 0445.35014 Butuzov, V. F.; Nesterov, A. V. 3 1978 A singularly perturbed elliptic equation with two small parameters. Zbl 0366.35008 Butuzov, V. F. 6 1977 A problem in singular-perturbation theory. Zbl 0375.34035 Butuzov, V. F.; Nefedov, N. N. 4 1977 Winkelgrenzschicht in gemischten singulär gestörten Problemen für hyperbolische Gleichungen. Zbl 0367.35007 Butuzov, V. F. 2 1977 The angular boundary layer in mixed singularly perturbed problems for hyperbolic equations. Zbl 0398.35005 Butuzov, V. F. 1 1977 Asymptotic properties of solutions of singularly perturbed elliptic equations in rectangular regions. Zbl 0334.35007 Butuzov, V. F. 2 1976 Über ein Problem der Theorie der singulären Störungen. Zbl 0338.34054 Butuzov, V. F.; Nefedov, N. N. 2 1976 Eine singulär gestörte Gleichung elliptischen Typs mit zwei kleinen Parametern. Zbl 0341.35006 Butuzov, V. F. 2 1976 The asymptotic properties of solutions of the equation \(\mu^2\Delta u- k^2(x,y)u=f(x,y)\) in a rectangle. Zbl 0306.35037 Butuzov, V. F. 8 1975 Über das asymptotische Verhalten der Lösungen singulär gestörter Gleichungen elliptischen Typs in einem rechteckigen Gebiet. Zbl 0316.35002 Butuzov, V. F. 1 1975 ...and 9 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 421 Authors 59 Nefedov, Nikolaĭ Nikolaevich 45 Butuzov, Valentin Fëdorovich 24 Ni, Mingkang 20 Levashova, Natalia T. 15 Schneider, Klaus R. 14 Mo, Jiaqi 13 Nikulin, E. I. 11 Kashchenko, Sergeĭ Aleksandrovich 11 Recke, Lutz 10 Davydova, M. A. 10 Kachalov, Vasily Ivanovich 10 Orlov, Andrey O. 8 Glizer, Valery Y. 8 Kurina, Galina A. 8 Omuraliev, Asan S. 7 Denisov, Igor’ Vasil’evich 7 Hoai, Nguyen Thi Xuan 7 Kalachev, Leonid V. 7 Luk’yanenko, Dmitriĭ Vital’evich 7 Volkov, Vladimir T. 6 Kopteva, Natalia Viktorovna 6 Krutitskii, Pavel A. 6 Li, Jichun 6 Sobolev, Vladimir A. 6 Sourdis, Christos 5 Abylaeva, Èlla D. 5 Dmitriev, Mikhail G. 5 Lin, Wantao 5 Melnikova, A. A. 5 Reznichenko, I. O. 5 Shishlenin, Maxim Aleksandrovich 5 Vasil’eva, Adelaida Borisovna 4 Bobodzhanov, Abdukhafiz Abdurasulovich 4 Bukzhalëv, Evgeniĭ Evgen’evich 4 Kalimbetov, Burkhan T. 4 Kalinin, Anatoliĭ Iosifovich 4 Navon, Ionel Michael 4 Nikitin, Anatoly Glebovich 4 Nikolaeva, Olga A. 4 Omel’chenko, Oleh E. 4 Safonov, Valeriĭ Fedorovich 4 Vlakhova, A. V. 4 Yang, Qian 4 Zakharova, S. A. 3 Banasiak, Jacek 3 Belolipetskij, A. A. 3 Braianov, Ilia A. 3 Bychkov, A. I. 3 Bykov, Aleksei Aleksandrovich 3 Denisov, Alekseĭ Igorevich 3 Derkunova, Elena Anatol’evna 3 Kalyakin, Leonid Anatol’evich 3 Karali, Georgia D. 3 Korobeinikov, Andrei 3 Lavrinovich, Leonid Ivanovich 3 Nazarov, Sergeĭ Aleksandrovich 3 Orozov, Maksatbek O. 3 Roos, Hans-Görg 3 Samusenko, Petro F. 3 Shen, Jianhe 3 Strygin, Vadim V. 3 Stynes, Martin Joseph 3 Su, Yucheng 3 Ter-Krikorov, A. M. 3 Tishchenko, B. V. 3 Urazgil’dina, T. A. 3 Wang, Zhiming 3 Wu, Limeng 3 Wu, Xiao 3 Wyller, John A. 2 Archibasov, A. A. 2 Argun, R. L. 2 Beloshapko, V. A. 2 Blatov, Igor A. 2 Bobryk, Roman V. 2 Bomba, Andrij Ya. 2 Borzunov, Andrey A. 2 Butuzova, M. V. 2 Chaturvedi, Abhay Kumar 2 Coulaud, Olivier 2 Danilin, Alekseĭ Rufimovich 2 Deryugina, N. N. 2 Dolbeeva, S. F. 2 Dzhumabaev, Dulat Syzdykbekovich 2 Eliseev, Aleksandr Georgievich 2 Ermakova, Kristina Evgenievna 2 Filippychev, D. S. 2 Fridman, Emilia 2 Gaitsgory, Vladimir G. 2 Glyzin, Sergeĭ Dmitrievich 2 Gorbachev, A. V. 2 Kadalbajoo, Mohan K. 2 Kalashnikova, Margarita A. 2 Kapustina, T. O. 2 Kellogg, Bruce 2 Khachai, O. Yu. 2 Kolesov, Andreĭ Yur’evich 2 Kolybasova, V. V. 2 Kuzmina, Lyudmila K. 2 López, José Luis ...and 321 more Authors all top 5 Cited in 124 Serials 59 Differential Equations 51 Computational Mathematics and Mathematical Physics 27 Journal of Mathematical Analysis and Applications 23 Journal of Applied Mathematics and Mechanics 17 Mathematical Notes 14 Journal of Mathematical Sciences (New York) 11 Theoretical and Mathematical Physics 11 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 10 Ukrainian Mathematical Journal 10 Applied Mathematics and Computation 9 Computers & Mathematics with Applications 8 Russian Journal of Mathematical Physics 7 Applied Mathematics. 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Fluids ...and 24 more Serials all top 5 Cited in 27 Fields 211 Partial differential equations (35-XX) 186 Ordinary differential equations (34-XX) 69 Numerical analysis (65-XX) 35 Systems theory; control (93-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 23 Fluid mechanics (76-XX) 21 Biology and other natural sciences (92-XX) 20 Mechanics of particles and systems (70-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Integral equations (45-XX) 15 Mechanics of deformable solids (74-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Operator theory (47-XX) 5 Approximations and expansions (41-XX) 3 Potential theory (31-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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