Butuzov, Valentin; Nefedov, Nikolay; Omel’chenko, Oleh; Recke, Lutz Boundary layer solutions to singularly perturbed quasilinear systems. (English) Zbl 1507.34063 Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4255-4283 (2022). Reviewer: Dilmurat Tursunov (Osh) MSC: 34E15 34B15 34E10 PDFBibTeX XMLCite \textit{V. Butuzov} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4255--4283 (2022; Zbl 1507.34063) Full Text: DOI
Butuzov, Valentin F. On singularly perturbed systems of ODE with a multiple root of the degenerate equation. (English. Russian original) Zbl 1445.34087 Izv. Math. 84, No. 2, 262-290 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 2, 60-89 (2020). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34E05 34B15 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Izv. Math. 84, No. 2, 262--290 (2020; Zbl 1445.34087); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 2, 60--89 (2020) Full Text: DOI
Beloshapko, V. A.; Butuzov, V. F. Asymptotics of the solution to a singularly perturbed elliptic problem with a three-zone boundary layer. (English. Russian original) Zbl 1362.35029 Comput. Math. Math. Phys. 56, No. 8, 1414-1425 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 8, 1428-1440 (2016). MSC: 35B25 35B40 35J25 35J61 PDFBibTeX XMLCite \textit{V. A. Beloshapko} and \textit{V. F. Butuzov}, Comput. Math. Math. Phys. 56, No. 8, 1414--1425 (2016; Zbl 1362.35029); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 8, 1428--1440 (2016) Full Text: DOI
Butuzov, Valentin F. Asymptotic behaviour of the solution to a singularly perturbed partially dissipative system with a multiple root of the degenerate equation. (English. Russian original) Zbl 1361.35085 Sb. Math. 207, No. 8, 1100-1126 (2016); translation from Mat. Sb. 207, No. 7, 73-100 (2016). MSC: 35K57 34E10 35K65 35C20 35B25 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Sb. Math. 207, No. 8, 1100--1126 (2016; Zbl 1361.35085); translation from Mat. Sb. 207, No. 7, 73--100 (2016) Full Text: DOI
Butuzov, V. F.; Bychkov, A. I. 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. (English. Russian original) Zbl 1350.35013 Comput. Math. Math. Phys. 56, No. 4, 593-611 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 4, 605-624 (2016). MSC: 35B25 35K20 35K58 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{A. I. Bychkov}, Comput. Math. Math. Phys. 56, No. 4, 593--611 (2016; Zbl 1350.35013); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 4, 605--624 (2016) Full Text: DOI
Butuzov, V. F. 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. (English. Russian original) Zbl 1347.34093 Math. Notes 99, No. 2, 210-221 (2016); translation from Mat. Zametki 99, No. 2, 201-214 (2016). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E05 34B15 34E15 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Math. Notes 99, No. 2, 210--221 (2016; Zbl 1347.34093); translation from Mat. Zametki 99, No. 2, 201--214 (2016) Full Text: DOI
Butuzov, V. F.; Bychkov, A. I. The initial-boundary value problem for a singularly perturbed parabolic equation in the case of double and triple root of the degenerate equation. (Russian. English summary) Zbl 1441.35149 Chebyshevskiĭ Sb. 16, No. 4(56), 41-76 (2015). MSC: 35K91 35B25 35K20 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{A. I. Bychkov}, Chebyshevskiĭ Sb. 16, No. 4(56), 41--76 (2015; Zbl 1441.35149) Full Text: DOI MNR
Butuzov, V. F. Asymptotics of the solution of a system of singularly perturbed equations in the case of a multiple root of the degenerate equation. (English. Russian original) Zbl 1367.34081 Differ. Equ. 50, No. 2, 177-188 (2014); translation from Differ. Uravn. 50, No. 2, 175-186 (2014). MSC: 34E15 34B15 34E05 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Differ. Equ. 50, No. 2, 177--188 (2014; Zbl 1367.34081); translation from Differ. Uravn. 50, No. 2, 175--186 (2014) Full Text: DOI
Butuzov, V. F.; Levashova, N. T.; Mel’nikova, A. A. A step-like contrast structure in a singularly perturbed system of elliptic equations. (Russian, English) Zbl 1299.35027 Zh. Vychisl. Mat. Mat. Fiz. 53, No. 9, 1427-1447 (2013); translation in Comput. Math. Math. Phys. 53, No. 9, 1239-1259 (2013). MSC: 35B25 35B40 35J25 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Zh. Vychisl. Mat. Mat. Fiz. 53, No. 9, 1427--1447 (2013; Zbl 1299.35027); translation in Comput. Math. Math. Phys. 53, No. 9, 1239--1259 (2013) Full Text: DOI
Butuzov, V. F.; Levashova, N. T. Asymptotic behavior of the solution of a singularly perturbed system of reaction-diffusion equations in a thin rod. (Russian, English) Zbl 1136.35402 Zh. Vychisl. Mat. Mat. Fiz. 43, No. 8, 1160-1182 (2003); translation in Comput. Math. Math. Phys. 43, No. 8, 1109-1131 (2003). Reviewer: Andrei Zemskov (Moskva) MSC: 35K55 35B25 35B40 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{N. T. Levashova}, Zh. Vychisl. Mat. Mat. Fiz. 43, No. 8, 1160--1182 (2003; Zbl 1136.35402); translation in Comput. Math. Math. Phys. 43, No. 8, 1109--1131 (2003)
Butuzov, V. F.; Levashova, N. T. On a system of reaction-diffusion-transfer type in the case of small diffusion and fast reactions. (Russian, English) Zbl 1136.35408 Zh. Vychisl. Mat. Mat. Fiz. 43, No. 7, 1005-1017 (2003); translation in Comput. Math. Math. Phys. 43, No. 7, 962-974 (2003). Reviewer: Andrei Zemskov (Moskva) MSC: 35K57 35K40 35B30 35B40 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{N. T. Levashova}, Zh. Vychisl. Mat. Mat. Fiz. 43, No. 7, 1005--1017 (2003; Zbl 1136.35408); translation in Comput. Math. Math. Phys. 43, No. 7, 962--974 (2003)
Butuzov, V. F.; Gromova, E. A. Boundary value problem for a system of fast and slow second-order equations in the case of intersecting roots of the degenerate equation. (English. Russian original) Zbl 1036.34061 Comput. Math. Math. Phys. 41, No. 8, 1108-1121 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 8, 1165-1179 (2001). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 34E05 34E15 34B15 34E10 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{E. A. Gromova}, Comput. Math. Math. Phys. 41, No. 8, 1108--1121 (2001; Zbl 1036.34061); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 8, 1165--1179 (2001)
Butuzov, V. F.; Kiryushin, V. V. A step-like contrast structure for the case of a multiple root of the transition point equation (the critical case). (English. Russian original) Zbl 1013.34056 Differ. Equ. 37, No. 2, 185-194 (2001); translation from Differ. Uravn. 37, No. 2, 171-180 (2001). Reviewer: Klaus R.Schneider (Berlin) MSC: 34E10 34B16 34B15 34E05 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{V. V. Kiryushin}, Differ. Equ. 37, No. 2, 185--194 (2001; Zbl 1013.34056); translation from Differ. Uravn. 37, No. 2, 171--180 (2001) Full Text: DOI
Butuzov, V. F.; Gromova, E. A. A limit theorem for a Tikhonov system of equations. (English. Russian original) Zbl 0999.34056 Comput. Math. Math. Phys. 40, No. 5, 669-679 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 5, 703-713 (2000). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 34E15 34D15 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{E. A. Gromova}, Comput. Math. Math. Phys. 40, No. 5, 669--679 (2000; Zbl 0999.34056); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 5, 703--713 (2000)
Butuzov, V. F.; Nedel’ko, I. V. A steplike contrast structure in a singularly perturbed system of elliptic equations with different power of a small parameter. (English. Russian original) Zbl 0993.35036 Comput. Math. Math. Phys. 40, No. 6, 837-859 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 6, 877-899 (2000). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 35J70 35B25 35B40 35A35 35C20 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{I. V. Nedel'ko}, Comput. Math. Math. Phys. 40, No. 6, 837--859 (2000; Zbl 0993.35036); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 6, 877--899 (2000)
Butuzov, V. F.; Nefedov, N. N. A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability. (English. Russian original) Zbl 0920.34023 Math. Notes 63, No. 3, 311-318 (1998); translation from Mat. Zametki 63, No. 3, 354-362 (1998). Reviewer: K.R.Schneider (Berlin) MSC: 34B15 34E15 34E10 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{N. N. Nefedov}, Math. Notes 63, No. 3, 311--318 (1998; Zbl 0920.34023); translation from Mat. Zametki 63, No. 3, 354--362 (1998) Full Text: DOI
Butuzov, V. F.; Karashchuk, A. F. One singularly perturbed system of partial differential equations of the first order. (English. Russian original) Zbl 0859.35007 Math. Notes 57, No. 3, 240-247 (1995); translation from Mat. Zametki 57, No. 3, 338-349 (1995). Reviewer: Y.R.Romanovsky (Pereslavl’-Zalesskij) MSC: 35B25 35F05 PDFBibTeX XMLCite \textit{V. F. Butuzov} and \textit{A. F. Karashchuk}, Math. Notes 57, No. 3, 240--247 (1995; Zbl 0859.35007); translation from Mat. Zametki 57, No. 3, 338--349 (1995) Full Text: DOI
Butuzov, V. F. The asymptotics of solutions of some model problems in chemical kinetics, taking diffusion into account. (English. Russian original) Zbl 0416.35010 Sov. Math., Dokl. 19, 1079-1083 (1978); translation from Dokl. Akad. Nauk SSSR 242, 268-271 (1978). MSC: 35B40 35B30 35B45 80A30 35K55 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Sov. Math., Dokl. 19, 1079--1083 (1978; Zbl 0416.35010); translation from Dokl. Akad. Nauk SSSR 242, 268--271 (1978)
Butuzov, V. F. The asymptotic solution of a problem for a nonlinear integro-differential equation. (English) Zbl 0234.45020 Differ. Equations 4(1968), 258-266 (1972). MSC: 45M05 45J05 PDFBibTeX XMLCite \textit{V. F. Butuzov}, Differ. Equations 4, 258--266 (1972; Zbl 0234.45020)