Nefedov, Nikolai N.; Orlov, Andrey O.; Recke, Lutz; Schneider, Klaus R. Nonsmooth regular perturbations of singularly perturbed problems. (English) Zbl 07748197 J. Differ. Equations 375, 206-236 (2023). MSC: 34E15 34B15 34E10 34D10 47J07 PDFBibTeX XMLCite \textit{N. N. Nefedov} et al., J. Differ. Equations 375, 206--236 (2023; Zbl 07748197) Full Text: DOI
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
Levashova, N. T.; Nefedov, N. N.; Orlov, A. O. Asymptotic stability of a stationary solution of a multidimensional reaction-diffusion equation with a discontinuous source. (English. Russian original) Zbl 1423.35232 Comput. Math. Math. Phys. 59, No. 4, 573-582 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 4, 611-620 (2019). MSC: 35K91 35K57 35B25 35C20 35J91 35K20 PDFBibTeX XMLCite \textit{N. T. Levashova} et al., Comput. Math. Math. Phys. 59, No. 4, 573--582 (2019; Zbl 1423.35232); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 4, 611--620 (2019) Full Text: DOI
Levashova, N. T.; Nefedov, N. N.; Orlov, A. O. Time-independent reaction-diffusion equation with a discontinuous reactive term. (English. Russian original) Zbl 1372.35020 Comput. Math. Math. Phys. 57, No. 5, 854-866 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 5, 854-866 (2017). MSC: 35B25 35J25 35C20 35J61 PDFBibTeX XMLCite \textit{N. T. Levashova} et al., Comput. Math. Math. Phys. 57, No. 5, 854--866 (2017; Zbl 1372.35020); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 5, 854--866 (2017) Full Text: DOI
Nefedov, N. N.; Schneider, K. R. On immediate-delayed exchange of stabilities and periodic forced canards. (English) Zbl 1224.34178 Comput. Math. Math. Phys. 48, No. 1, 43-58 (2008); translation from Zh. Vychisl. Mat. Mat. Fiz. 48, No. 1, 46-61 (2008). MSC: 34E17 34D20 34E15 34E10 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{K. R. Schneider}, Zh. Vychisl. Mat. Mat. Fiz. 48, No. 1, 46--61 (2008; Zbl 1224.34178); translation from Zh. Vychisl. Mat. Mat. Fiz. 48, No. 1, 46--61 (2008) Full Text: DOI
Nefedov, N. N.; Nikitin, A. G. Development of the asymptotic method of differential inequalities for step-type solutions of singularly perturbed integro-differential equations. (English. Russian original) Zbl 1029.45008 Comput. Math. Math. Phys. 41, No. 7, 1005-1014 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 7, 1057-1066 (2001). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 45M05 45G10 45J05 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{A. G. Nikitin}, Comput. Math. Math. Phys. 41, No. 7, 1005--1014 (2001; Zbl 1029.45008); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 7, 1057--1066 (2001)
Nefedov, N. N.; Nikitin, A. G. The asymptotic method of differential inequalities for singularly perturbed integro-differential equations. (English. Russian original) Zbl 0991.45004 Differ. Equ. 36, No. 10, 1544-1551 (2000); translation from Differ. Uravn. 36, No. 10, 1398-1404 (2000). MSC: 45J05 45G10 45M05 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{A. G. Nikitin}, Differ. Equ. 36, No. 10, 1544--1551 (2000; Zbl 0991.45004); translation from Differ. Uravn. 36, No. 10, 1398--1404 (2000) Full Text: DOI
Nefedov, N. N. An asymptotic method of differential inequalities for the investigation of periodic contrast structures: Existence, asymptotics, and stability. (English. Russian original) Zbl 0979.35150 Differ. Equ. 36, No. 2, 298-305 (2000); translation from Differ. Uravn. 36, No. 2, 262-269 (2000). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35R45 35K57 35B40 35A05 PDFBibTeX XMLCite \textit{N. N. Nefedov}, Differ. Equ. 36, No. 2, 298--305 (2000; Zbl 0979.35150); translation from Differ. Uravn. 36, No. 2, 262--269 (2000) Full Text: DOI
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
Schneider, K. R.; Nefedov, N. N. Delayed exchange of stabilities in singularly perturbed systems. (English) Zbl 1088.34526 ZAMM, Z. Angew. Math. Mech. 78, Suppl. 1, S199-S202 (1998). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E15 34E05 34E10 34A12 PDFBibTeX XMLCite \textit{K. R. Schneider} and \textit{N. N. Nefedov}, ZAMM, Z. Angew. Math. Mech. 78, S199--S202 (1998; Zbl 1088.34526)
Nefedov, N. N. Two-dimensional contrast steplike structures: Asymptotic behavior, existence, stability. (English. Russian original) Zbl 0893.65065 Dokl. Math. 54, No. 1, 594-596 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 349, No. 5, 603-605 (1996). MSC: 65Z05 35J65 35B25 35B40 PDFBibTeX XMLCite \textit{N. N. Nefedov}, Dokl. Math. 54, No. 1, 594--596 (1996; Zbl 0893.65065); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 349, No. 5, 603--605 (1996)
Nefedov, N. N. The method of differential inequalities for nonlinear singularly perturbed problems with contrasting step-like structures in the critical case. (English. Russian original) Zbl 0898.35006 Differ. Equations 32, No. 11, 1526-1534 (1996); translation from Differ. Uravn. 32, No. 11, 1529-1537 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 35B25 35J65 35B35 35B40 35K57 PDFBibTeX XMLCite \textit{N. N. Nefedov}, Differ. Equations 32, No. 11, 1 (1996; Zbl 0898.35006); translation from Differ. Uravn. 32, No. 11, 1529--1537 (1996)
Nefedov, N. N. The method of differential inequalities for some classes of nonlinear singularly perturbed problems with internal layers. (English. Russian original) Zbl 0864.35011 Differ. Equations 31, No. 7, 1077-1085 (1995); translation from Differ. Uravn. 31, No. 7, 1142-1149 (1995). Reviewer: V.Chernyatin (Szczecin) MSC: 35B25 35J60 35R45 35C20 PDFBibTeX XMLCite \textit{N. N. Nefedov}, Differ. Uravn. 31, No. 7, 1 (1995; Zbl 0864.35011); translation from Differ. Uravn. 31, No. 7, 1142--1149 (1995)
Nefedov, N. N. Nonstationary spike-type contrast structures in nonlinear singularly perturbed parabolic equations. (English. Russian original) Zbl 0839.35007 Russ. Acad. Sci., Dokl., Math. 49, No. 3, 489-492 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 2, 165-167 (1994). MSC: 35B25 35K60 35B05 PDFBibTeX XMLCite \textit{N. N. Nefedov}, Russ. Acad. Sci., Dokl., Math. 49, No. 3, 165--167 (1994; Zbl 0839.35007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 2, 165--167 (1994)
Nefedov, N. N. Contrast structures of spike type in nonlinear singularly perturbed elliptic equations. (English. Russian original) Zbl 0789.35017 Russ. Acad. Sci., Dokl., Math. 46, No. 3, 410-413 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 327, No. 1, 16-19 (1992). MSC: 35B25 35J70 35J65 PDFBibTeX XMLCite \textit{N. N. Nefedov}, Russ. Acad. Sci., Dokl., Math. 46, No. 3, 410--413 (1992; Zbl 0789.35017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 327, No. 1, 16--19 (1992)
Nefedov, N. N. Asymptotic behavior of the solution of a singularly perturbed integral equation with integration intervals of differing degree of smallness. (English. Russian original) Zbl 0439.45006 Mosc. Univ. Comput. Math. Cybern. 1978, No. 1, 21-27 (1978); translation from Vestn. Mosk. Univ., Ser. XV 1978, No. 1, 28-35 (1978). MSC: 45H05 82C70 45M05 PDFBibTeX XMLCite \textit{N. N. Nefedov}, Mosc. Univ. Comput. Math. Cybern. 1978, No. 1, 21--27 (1978; Zbl 0439.45006); translation from Vestn. Mosk. Univ., Ser. XV 1978, No. 1, 28--35 (1978)
Nefedov, N. N. On a class of singularly disturbed equations. (English) Zbl 0408.45001 U.S.S.R. Comput. Math. Math. Phys. 18, No. 1, 89-101 (1978). MSC: 45D05 45G05 45L05 45M05 PDFBibTeX XMLCite \textit{N. N. Nefedov}, U.S.S.R. Comput. Math. Math. Phys. 18, No. 1, 89--101 (1978; Zbl 0408.45001) Full Text: DOI
Nefedov, N. N. On a class of singularly perturbed equations. (Russian) Zbl 0401.45003 Zh. Vychisl. Mat. Mat. Fiz. 18, 93-105 (1978). MSC: 45D05 45G05 45L05 45M05 PDFBibTeX XMLCite \textit{N. N. Nefedov}, Zh. Vychisl. Mat. Mat. Fiz. 18, 93--105 (1978; Zbl 0401.45003)