Mikhailov, S. E.; Portillo, C. F. Analysis of boundary-domain integral equations based on a new parametrix for the mixed diffusion BVP with variable coefficient in an interior Lipschitz domain. (English) Zbl 1447.35141 J. Integral Equations Appl. 32, No. 1, 59-75 (2020). Reviewer: Paolo Musolino (Padova) MSC: 35J25 31B10 45K05 45A05 PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{C. F. Portillo}, J. Integral Equations Appl. 32, No. 1, 59--75 (2020; Zbl 1447.35141) Full Text: DOI arXiv Euclid
Fresneda-Portillo, Carlos; Mikhailov, Sergey E. Analysis of boundary-domain integral equations to the mixed BVP for a compressible Stokes system with variable viscosity. (English) Zbl 1481.35181 Commun. Pure Appl. Anal. 18, No. 6, 3059-3088 (2019). MSC: 35J57 45F15 45P05 PDFBibTeX XMLCite \textit{C. Fresneda-Portillo} and \textit{S. E. Mikhailov}, Commun. Pure Appl. Anal. 18, No. 6, 3059--3088 (2019; Zbl 1481.35181) Full Text: DOI arXiv
Mikhailov, Sergey E.; Woldemicheal, Zenebe W. On united boundary-domain integro-differential equations for variable coefficient Dirichlet problem with general right-hand side. (English) Zbl 07215945 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16–20, 2018. Basel: Birkhäuser. 225-235 (2019). MSC: 47Gxx 35Jxx 45Axx 31Bxx 45Pxx PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{Z. W. Woldemicheal}, in: Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16--20, 2018. Basel: Birkhäuser. 225--235 (2019; Zbl 07215945) Full Text: DOI Link
Mikhailov, Sergey E. Analysis of segregated boundary-domain integral equations for BVPs with non-smooth coefficients on Lipschitz domains. (English) Zbl 1499.35226 Bound. Value Probl. 2018, Paper No. 87, 52 p. (2018). MSC: 35J25 31B10 45K05 35R09 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, Bound. Value Probl. 2018, Paper No. 87, 52 p. (2018; Zbl 1499.35226) Full Text: DOI arXiv
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David Singular localised boundary-domain integral equations of acoustic scattering by inhomogeneous anisotropic obstacle. (English) Zbl 1405.35122 Math. Methods Appl. Sci. 41, No. 17, 8033-8058 (2018). MSC: 35P25 47G40 35J25 35J05 35R05 45F15 35S05 35J20 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Math. Methods Appl. Sci. 41, No. 17, 8033--8058 (2018; Zbl 1405.35122) Full Text: DOI arXiv
Ayele, T. G.; Dufera, T. T.; Mikhailov, S. E. Analysis of boundary-domain integral equations for variable-coefficient Neumann BVP in 2D. (English) Zbl 1408.45008 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25–29, 2016. Basel: Birkhäuser/Springer. 21-33 (2017). MSC: 45P05 35J25 65N38 PDFBibTeX XMLCite \textit{T. G. Ayele} et al., in: Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25--29, 2016. Basel: Birkhäuser/Springer. 21--33 (2017; Zbl 1408.45008) Full Text: DOI Link
Mikhailov, Sergey E. Analysis of Segregated Boundary-Domain Integral Equations for Variable-Coefficient Dirichlet and Neumann Problems with General Data. arXiv:1509.03501 Preprint, arXiv:1509.03501 [math.AP] (2015). MSC: 35J25 31B10 45K05 45A05 BibTeX Cite \textit{S. E. Mikhailov}, ``Analysis of Segregated Boundary-Domain Integral Equations for Variable-Coefficient Dirichlet and Neumann Problems with General Data'', Preprint, arXiv:1509.03501 [math.AP] (2015) Full Text: arXiv OA License
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Localized boundary-domain integral equations approach for Robin type problem for second order strongly elliptic systems with variable coefficients. (English) Zbl 1290.35076 Proc. A. Razmadze Math. Inst. 162, 45-58 (2013). MSC: 35J47 35J25 31B10 45K05 45A05 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Proc. A. Razmadze Math. Inst. 162, 45--58 (2013; Zbl 1290.35076)
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed BVPs in exterior domains. (English) Zbl 1273.45007 Anal. Appl., Singap. 11, No. 4, Article ID 1350006, 33 p. (2013). MSC: 45P05 45A05 35J25 31B10 47G10 47G40 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Anal. Appl., Singap. 11, No. 4, Article ID 1350006, 33 p. (2013; Zbl 1273.45007) Full Text: DOI
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients. (English) Zbl 1276.35067 Integral Equations Oper. Theory 76, No. 4, 509-547 (2013). MSC: 35J25 31B10 45K05 45A05 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Integral Equations Oper. Theory 76, No. 4, 509--547 (2013; Zbl 1276.35067) Full Text: DOI
Chkadua, O.; Mikhailov, S.; Natroshvili, D. Localized boundary-domain integral equations approach for Dirichlet problem for second order strongly elliptic systems with variable coefficients. (English) Zbl 1279.35032 Proc. A. Razmadze Math. Inst. 160, 11-23 (2012). MSC: 35J47 35J25 31B10 45K05 45A05 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Proc. A. Razmadze Math. Inst. 160, 11--23 (2012; Zbl 1279.35032) Full Text: Link
Mikhailov, Sergey E.; Mohamed, Nurul A. Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with a variable coefficient. (English) Zbl 1255.65220 Int. J. Comput. Math. 89, No. 11, 1488-1503 (2012). MSC: 65N38 31A10 45A05 45C05 65R20 PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{N. A. Mohamed}, Int. J. Comput. Math. 89, No. 11, 1488--1503 (2012; Zbl 1255.65220) Full Text: DOI
Ayele, T. G.; Mikhailov, S. E. Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP. (English) Zbl 1272.47060 Eurasian Math. J. 2, No. 3, 20-41 (2011). Reviewer: Raffaella Servadei (Arcavata di Rende) MSC: 47G30 35J25 31B10 45P05 45A05 47G10 47G40 PDFBibTeX XMLCite \textit{T. G. Ayele} and \textit{S. E. Mikhailov}, Eurasian Math. J. 2, No. 3, 20--41 (2011; Zbl 1272.47060) Full Text: MNR
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Localized direct segregated boundary-domain integral equations for variable coefficient transmission problems with interface crack. (English) Zbl 1235.35098 Mem. Differ. Equ. Math. Phys. 52, 17-64 (2011). MSC: 35J25 35Q74 35S15 45E05 74R10 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Mem. Differ. Equ. Math. Phys. 52, 17--64 (2011; Zbl 1235.35098)
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David Localized boundary-domain integral equation formulation for mixed type problems. (English) Zbl 1198.35073 Georgian Math. J. 17, No. 3, 469-494 (2010). MSC: 35J25 31B10 45K05 45A05 35S05 35C15 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Georgian Math. J. 17, No. 3, 469--494 (2010; Zbl 1198.35073) Full Text: DOI
Ayele, T. G.; Mikhailov, S. E. Two-operator boundary – domain integral equations for a variable-coefficient BVP. (English) Zbl 1221.35122 Constanda, C. (ed.) et al., Integral methods in science and engineering. Volume 1: Analytic methods. Papers presented at the 10th international conference on integral methods in science and engineering (IMSE 2008), Santander, Spain, July 7–10, 2008. Basel: Birkhäuser (ISBN 978-0-8176-4898-5/hbk; 978-0-8176-4899-2/ebook). 29-39 (2010). Reviewer: Pierpaolo Omari (Trieste) MSC: 35J25 45P05 47G10 35J08 47N20 PDFBibTeX XMLCite \textit{T. G. Ayele} and \textit{S. E. Mikhailov}, in: Integral methods in science and engineering. Volume 1: Analytic methods. Papers presented at the 10th international conference on integral methods in science and engineering (IMSE 2008), Santander, Spain, July 7--10, 2008. Basel: Birkhäuser. 29--39 (2010; Zbl 1221.35122) Full Text: DOI
Mikhailov, Sergey E. Analysis of united boundary-domain integro-differential and integral equations for a mixed BVP with variable coefficient. (English) Zbl 1146.35031 Math. Methods Appl. Sci. 29, No. 6, 715-739 (2006). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 35J25 34K30 47G10 45K05 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, Math. Methods Appl. Sci. 29, No. 6, 715--739 (2006; Zbl 1146.35031) Full Text: DOI
Mikhailov, Sergey E. About localized boundary-domain integro-differential formulations for a quasilinear problem with variable coefficients. (English) Zbl 1060.65691 Constanda, C. (ed.) et al., Integral methods in science and engineering. Analytic and numerical techniques. Papers from the 7th international conference (IMSE 2002), University of Saint Étienne, Saint Étienne, France, August 7–10, 2002. Boston, MA: Birkhäuser (ISBN 0-8176-3228-X/hbk). 139-144 (2004). MSC: 65R20 45K05 45G10 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, in: Integral methods in science and engineering. Analytic and numerical techniques. Papers from the 7th international conference (IMSE 2002), University of Saint Étienne, Saint Étienne, France, August 7--10, 2002. Boston, MA: Birkhäuser. 139--144 (2004; Zbl 1060.65691)
Mikhailov, S. E. On some weighted Hardy type classes of one-parametric holomorphic functions. II: Partial Volterra operators in parameter. (English) Zbl 0909.30028 J. Math. Anal. Appl. 222, No. 2, 374-396 (1998). Reviewer: Lu Jian-Ke (Wuhan) MSC: 30D55 45D05 47G10 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, J. Math. Anal. Appl. 222, No. 2, 374--396 (1998; Zbl 0909.30028) Full Text: DOI
Mikhailov, S. E. Singular stress behavior in a bonded hereditarily-elastic aging wedge. II: General heredity. (English) Zbl 0882.73027 Math. Methods Appl. Sci. 20, No. 1, 31-45 (1997). Reviewer: Gh.Gr.Ciobanu (Iaşi) MSC: 74D99 74S30 35B40 45D05 45K05 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, Math. Methods Appl. Sci. 20, No. 1, 31--45 (1997; Zbl 0882.73027)
Mikhailov, S. E. Singular stress behavior in a bonded hereditarily-elastic aging wedge. I: Problem statement and degenerate case. (English) Zbl 0882.73026 Math. Methods Appl. Sci. 20, No. 1, 13-30 (1997). Reviewer: Gh.Gr.Ciobanu (Iaşi) MSC: 74D99 74S30 35B40 45D05 45K05 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, Math. Methods Appl. Sci. 20, No. 1, 13--30 (1997; Zbl 0882.73026) Full Text: DOI
Mikhaĭlov, S. E. Solution of problems on the anti-plane deformation of elastic bodies with corner points by the method of integral equations. (English. Russian original) Zbl 0559.73047 J. Appl. Math. Mech. 47, 783-788 (1985); translation from Prikl. Mat. Mekh. 47, 981-987 (1983). MSC: 74B20 74K15 74G70 45L05 PDFBibTeX XMLCite \textit{S. E. Mikhaĭlov}, J. Appl. Math. Mech. 47, 783--788 (1985; Zbl 0559.73047); translation from Prikl. Mat. Mekh. 47, 981--987 (1983) Full Text: DOI