Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. Existence, asymptotics, stability and region of attraction of a periodic boundary layer solution in case of a double root of the degenerate equation. (English) Zbl 1418.35018 Comput. Math. Math. Phys. 58, No. 12, 1989-2001 (2018). MSC: 35B25 35K20 35K57 35B10 35B40 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Comput. Math. Math. Phys. 58, No. 12, 1989--2001 (2018; Zbl 1418.35018) Full Text: DOI
Butuzov, Valentin F.; Nefedov, Nikolay N.; Recke, Lutz; Schneider, Klaus R. Periodic solutions with a boundary layer of reaction-diffusion equations with singularly perturbed Neumann boundary conditions. (English) Zbl 1300.35002 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 8, Article ID 1440019, 8 p. (2014). MSC: 35B25 35K57 35B10 35B35 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 8, Article ID 1440019, 8 p. (2014; Zbl 1300.35002) Full Text: DOI
Nefedov, N. N.; Recke, L.; Schneider, K. R. Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations. (English) Zbl 1325.35099 J. Math. Anal. Appl. 405, No. 1, 90-103 (2013). Reviewer: Rodica Luca (Iaşi) MSC: 35K57 35K20 PDFBibTeX XMLCite \textit{N. N. Nefedov} et al., J. Math. Anal. Appl. 405, No. 1, 90--103 (2013; Zbl 1325.35099) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. Region of attraction of a periodic solution to a singularly perturbed parabolic problem. (English) Zbl 1253.35011 Appl. Anal. 91, No. 7, 1265-1277 (2012). MSC: 35B25 35B10 35K20 35K57 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Appl. Anal. 91, No. 7, 1265--1277 (2012; Zbl 1253.35011) Full Text: DOI
Nefedov, N. N.; Recke, L.; Schneider, K. R. Asymptotic stability via the Kreĭn-Rutman theorem for singularly perturbed parabolic periodic Dirichlet problems. (English) Zbl 1211.35023 Regul. Chaotic Dyn. 15, No. 2-3, 382-389 (2010). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B25 35B10 47B60 35B35 35K58 35K90 PDFBibTeX XMLCite \textit{N. N. Nefedov} et al., Regul. Chaotic Dyn. 15, No. 2--3, 382--389 (2010; Zbl 1211.35023) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. Existence and stability of solutions with periodically moving weak internal layers. (English) Zbl 1158.35010 J. Math. Anal. Appl. 348, No. 1, 508-515 (2008). Reviewer: Denise Huet (Nancy) MSC: 35B25 35K55 35B10 35B40 35K20 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., J. Math. Anal. Appl. 348, No. 1, 508--515 (2008; Zbl 1158.35010) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. Formation and propagation of steep transition layers in parabolic problems. (English. Russian original) Zbl 1107.35014 Mosc. Univ. Phys. Bull. 60, No. 1, 8-14 (2005); translation from Vestn. Mosk. Univ., Ser. III 2005, No. 1, 9-13 (2005). MSC: 35B25 35K55 35K20 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Mosc. Univ. Phys. Bull. 60, No. 1, 8--14 (2005; Zbl 1107.35014); translation from Vestn. Mosk. Univ., Ser. III 2005, No. 1, 9--13 (2005)
Nefedov, N. N.; Radziunas, M.; Schneider, K. R.; Vasil’eva, A. B. Change of the type of contrast structures in parabolic Neumann problems. (English) Zbl 1114.35094 Zh. Vychisl. Mat. Mat. Fiz. 45, No. 1, 41-55 (2005) and Comput. Math. Math. Phys. 45, No. 1, 37-51 (2005). Reviewer: Andrei Zemskov (Moskva) MSC: 35K55 35B25 PDFBibTeX XMLCite \textit{N. N. Nefedov} et al., Zh. Vychisl. Mat. Mat. Fiz. 45, No. 1, 41--55 (2005; Zbl 1114.35094)
Sieber, J.; Radžiūnas, M.; Schneider, K. R. Dynamics of multisection semiconductor lasers. (English) Zbl 1080.78012 Math. Model. Anal. 9, No. 1, 51-66 (2004). Reviewer: Aleksander Pankov (Williamsburg) MSC: 78A60 35A05 34C23 82D37 PDFBibTeX XMLCite \textit{J. Sieber} et al., Math. Model. Anal. 9, No. 1, 51--66 (2004; Zbl 1080.78012)
Nefedov, N. N.; Radziunas, M.; Schneider, K. R. Analytical-numerical investigation of delayed exchange of stabilities in singularly perturbed parabolic problems. (English) Zbl 1135.35049 Zh. Vychisl. Mat. Mat. Fiz. 44, No. 7, 1281-1288 (2004); translation in Comput. Math. Math. Phys. 44, No. 7, 1213-1220 (2004). MSC: 35K55 35B25 PDFBibTeX XMLCite \textit{N. N. Nefedov} et al., Zh. Vychisl. Mat. Mat. Fiz. 44, No. 7, 1281--1288 (2004; Zbl 1135.35049); translation in Comput. Math. Math. Phys. 44, No. 7, 1213--1220 (2004)
Sieber, J.; Radžiūnas, M.; Schneider, K. R. Dynamics of multisection semiconductor lasers. (English) Zbl 1072.78004 Math. Model. Anal. 9, No. 1, 51-66 (2004). MSC: 78A60 35K90 37N20 82D37 PDFBibTeX XMLCite \textit{J. Sieber} et al., Math. Model. Anal. 9, No. 1, 51--66 (2004; Zbl 1072.78004)
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. Singularly perturbed problems in case of exchange of stabilities. (English) Zbl 1081.34051 J. Math. Sci., New York 121, No. 1, 1973-2079 (2004). Reviewer: Patrick Habets (Louvain-La-Neuve) MSC: 34E15 35B25 35J25 35K45 34A12 34B15 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., J. Math. Sci., New York 121, No. 1, 1973--2079 (2004; Zbl 1081.34051) Full Text: DOI
Nefedov, N. N.; Schneider, K. R. Delay of exchange of stabilities in singularly perturbed parabolic problems. (English) Zbl 1125.35314 Danilin, A. R. (ed.), Asymptotic expansions, approximation theory, topology. Transl. from the Russian. Moscow: Maik Nauka / Interperiodica. Proceedings of the Steklov Institute of Mathematics 2003, Suppl. 1, S144-S154 (2003). MSC: 35B25 37L10 35K55 35K60 35B35 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{K. R. Schneider}, in: Asymptotic expansions, approximation theory, topology. Transl. from the Russian. Moscow: Maik Nauka / Interperiodica. S144--S154 (2003; Zbl 1125.35314)
Sieber, J.; Recke, L.; Schneider, K. R. Dynamics of multisection semiconductor lasers. (English. Russian original) Zbl 1128.82022 J. Math. Sci., New York 124, No. 5, 5298-5309 (2004); translation from Sovrem. Mat., Fundam. Napravl. 2, 70-82 (2003). MSC: 82D37 35K55 35K90 37N20 PDFBibTeX XMLCite \textit{J. Sieber} et al., J. Math. Sci., New York 124, No. 5, 5298--5309 (2003; Zbl 1128.82022); translation from Sovrem. Mat., Fundam. Napravl. 2, 70--82 (2003) Full Text: DOI
Schneider, K. R.; Shchepakina, E. A.; Sobolev, V. A. New type of travelling wave solutions. (English) Zbl 1039.80004 Math. Methods Appl. Sci. 26, No. 16, 1349-1361 (2003). MSC: 80A25 35K55 34A25 34E05 PDFBibTeX XMLCite \textit{K. R. Schneider} et al., Math. Methods Appl. Sci. 26, No. 16, 1349--1361 (2003; Zbl 1039.80004) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. On a singularly perturbed system of parabolic equations in the case of intersecting roots of the degenerate equation. (Russian, English) Zbl 1055.35015 Zh. Vychisl. Mat. Mat. Fiz. 42, No. 2, 185-196 (2002); translation in Comput. Math. Math. Phys. 42, No. 2, 176-187 (2002). Reviewer: Andrei Zemskov (Moskva) MSC: 35B25 35K40 35K50 35K57 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Zh. Vychisl. Mat. Mat. Fiz. 42, No. 2, 185--196 (2002; Zbl 1055.35015); translation in Comput. Math. Math. Phys. 42, No. 2, 176--187 (2002)
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. Singularly perturbed partly dissipative reaction-diffusion systems in case of exchange of stabilities. (English) Zbl 1192.35096 J. Math. Anal. Appl. 273, No. 1, 217-235 (2002). MSC: 35K57 35B25 35B40 35K40 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., J. Math. Anal. Appl. 273, No. 1, 217--235 (2002; Zbl 1192.35096) Full Text: DOI
Schneider, Klaus R.; Vasil’eva, Adelaida B. On the existence of transition layers of spike type in reaction-diffusion-convection equations. (English) Zbl 0981.35024 Asymptotic Anal. 25, No. 3-4, 183-199 (2001). MSC: 35K57 35B25 35C20 PDFBibTeX XMLCite \textit{K. R. Schneider} and \textit{A. B. Vasil'eva}, Asymptotic Anal. 25, No. 3--4, 183--199 (2001; Zbl 0981.35024)
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. Singularly perturbed elliptic problems in the case of exchange of stabilities. (English) Zbl 0974.35039 J. Differ. Equations 169, No. 2, 373-395 (2001). Reviewer: Jiaqi Mo (Wuhu) MSC: 35J65 35B25 35B40 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., J. Differ. Equations 169, No. 2, 373--395 (2001; Zbl 0974.35039) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Schneider, K. R. Singularly perturbed reaction-diffusion systems in cases of exchange of stabilities. (English) Zbl 0980.35023 Nat. Resour. Model. 13, No. 2, 247-269 (2000). Reviewer: Daniel Ševčovič (Bratislava) MSC: 35B25 35K60 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Nat. Resour. Model. 13, No. 2, 247--269 (2000; Zbl 0980.35023) Full Text: DOI
Recke, L.; Schneider, K. R.; Strygin, V. V. Spectral properties of coupled wave operators. (English) Zbl 0949.35103 Z. Angew. Math. Phys. 50, No. 6, 925-933 (1999). Reviewer: Dimitar Kolev (Sofia) MSC: 35P20 35L40 47D06 PDFBibTeX XMLCite \textit{L. Recke} et al., Z. Angew. Math. Phys. 50, No. 6, 925--933 (1999; Zbl 0949.35103) Full Text: DOI
Schneider, Klaus R. On the existence of travelling waves in reaction-diffusion systems. (English) Zbl 0848.35060 Lakshmikantham, V. (ed.), World congress of nonlinear analysts ’92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 311-321 (1996). MSC: 35K57 34C45 PDFBibTeX XMLCite \textit{K. R. Schneider}, in: World congress of nonlinear analysts '92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 311--321 (1996; Zbl 0848.35060)
Schneider, K. R. Existence of pulses in reaction-diffusion equations. (English) Zbl 0798.35075 Z. Angew. Math. Mech. 73, No. 7-8, T780-T782 (1993). MSC: 35K57 58J35 35B20 34D15 70G10 70K05 PDFBibTeX XMLCite \textit{K. R. Schneider}, Z. Angew. Math. Mech. 73, No. 7--8, T780--T782 (1993; Zbl 0798.35075) Full Text: DOI
Schneider, Klaus R. On the existence of wave trains in partly dissipative systems. (English) Zbl 0938.35564 Perelló, C. (ed.) et al., International conference on differential equations. Vol. 1, 2. Proceedings of the conference, EQUADIFF 91, Barcelona, Spain, August 26-31, 1991. Singapore: World Scientific. 893-898 (1993). MSC: 35K57 PDFBibTeX XMLCite \textit{K. R. Schneider}, in: International conference on differential equations. Vol. 1, 2. Proceedings of the conference, EQUADIFF 91, Barcelona, Spain, August 26-31, 1991. Singapore: World Scientific. 893--898 (1993; Zbl 0938.35564)
Schneider, Klaus R. On the existence of pulses in reaction-diffusion-equations. (English) Zbl 0762.35050 Result. Math. 21, No. 1-2, 200-210 (1992). Reviewer: Hou Zongyi (Shanghai) MSC: 35K57 34C37 34C45 34D15 PDFBibTeX XMLCite \textit{K. R. Schneider}, Result. Math. 21, No. 1--2, 200--210 (1992; Zbl 0762.35050) Full Text: DOI
Schneider, K. R.; Evtukhov, V. M. Existence of autowaves of the Van der Pol equation with diffusion. (English. Russian original) Zbl 0667.35037 Differ. Equations 24, No. 6, 683-691 (1988); translation from Differ. Uravn. 24, No. 6, 1027-1037 (1988). Reviewer: K.R.Schneider MSC: 35K57 35B10 35B40 34E15 34C45 35K55 35B32 PDFBibTeX XMLCite \textit{K. R. Schneider} and \textit{V. M. Evtukhov}, Differ. Equations 24, No. 6, 683--691 (1988; Zbl 0667.35037); translation from Differ. Uravn. 24, No. 6, 1027--1037 (1988)
Schneider, Klaus R. Existence of wave trains in reaction-diffusion systems. (English) Zbl 0616.35004 Lotka-Volterra-approach to cooperation and competition in dynamic systems, Proc. 5th Meet. UNESCO Work. Group Syst. Theory, Wartburg/Eisenach/Ger. 1984, Math. Res. 23, 182-190 (1985). Reviewer: B.Cheshankov MSC: 35B10 35K55 35K10 PDFBibTeX XML
Schneider, Klaus R.; Jewtuchow, Wjatscheslaw M. Über die Existenz und Stabilität von Autowellen der van-der-Pol- Gleichung mit Diffusion. (German) Zbl 0518.35052 Prepr., Akad. Wiss. DDR, Inst. Math. P-MATH-08/83, 29 p. (1983). MSC: 35K55 35B10 35B35 35B40 PDFBibTeX XML
Purfuerst, R.; Schneider, K. R. Existenz und asymptotisches Verhalten von steady-state Lösungen bei singulär gestoerten Differentialgleichungssystemen. (German) Zbl 0476.34031 Wiss. Z. Tech. Hochsch. Otto von Guericke 24, No. 5, 13-15 (1980). MSC: 34C15 34E99 35B25 35B40 PDFBibTeX XMLCite \textit{R. Purfuerst} and \textit{K. R. Schneider}, Wiss. Z. Tech. Hochsch. Otto von Guericke 24, No. 5, 13--15 (1980; Zbl 0476.34031)