Edit Profile (opens in new tab) Piskarëv, S. I. Co-Author Distance Author ID: piskarev.s-i Published as: Piskarev, S.; Piskarev, S. I.; Piskarev, Sergey; Piskarev, Sergei; Piskarev, Serguei; Piskarëv, S. I.; Piskarev, Sergey I.; Piskarjov, S. more...less Homepage: http://www-old.srcc.msu.ru/nivc/english/about/home_pages/piskarev/index.htm External Links: MGP Documents Indexed: 90 Publications since 1977, including 1 Book 1 Contribution as Editor Reviewing Activity: 32 Reviews Co-Authors: 59 Co-Authors with 68 Joint Publications 2,325 Co-Co-Authors all top 5 Co-Authors 22 single-authored 11 Li, Miao 8 Shaw, Sen-Yen 6 Liu, Ru 6 Orlovskiĭ, Dmitriĭ Germanovich 6 Pastor, Javier 5 Ashyralyev, Allaberen 4 Guidetti, Davide 3 Vasil’ev, Victor V. 2 Burrage, Kevin 2 Cao, Qingjie 2 Fan, Zhenbin 2 Jefferies, Brian R. F. 2 Karasözen, Bülent 2 Li, Chenggang 2 Li, Gang 2 Liu, Li 2 Morozov, Vladimir Alekseevich 2 Siegmund, Stefan 2 Yurtsever, Hasan Ali 1 Ahues, Mario Paul 1 Antonyuk, Oleksandra Viktorivna 1 Ashurov, Ravshan Rajabovich 1 Beyn, Wolf-Jürgen 1 Bobylev, Nikolaĭ Antonovich 1 Chyan, Ding-Kuo 1 Covachev, Valéry C. 1 Crouzeix, Michel 1 Cuevas, Claudio 1 deLaubenfels, Ralph J. 1 Erdogan, Abdullah Said 1 Ergenç, Tanil 1 Guo, Bao-Zhu 1 Han, Yanwei 1 Kantorovitz, Shmuel 1 Kim, Jong Kyu 1 Kloeden, Peter Eris 1 Kochubeĭ, Anatoliĭ Naumovych 1 Kokurin, Mikhail Mikhailovich 1 Korovin, Sergeĭ Konstantinovich 1 Kostić, Marko 1 Kostin, Andrey B. 1 Kreĭn, Selim Grigor’evich 1 Larsson, Stig 1 Liang, Tingwei 1 Meerschaert, Mark Marvin 1 Nolasco de Carvalho, Alexandre 1 Ovchinnikov, Alexey Vital’evich 1 Palencia, Cesar 1 Pastor, Verónica E. 1 Prilepko, Alekseĭ Ivanovich 1 Selivanova, N. Yu. 1 Shaw, Stanley Y. 1 Spigler, Renato 1 Spreafico, Mauro 1 Thomée, Vidar 1 Vainikko, Gennadi 1 Weis, Lutz W. 1 Wiercigroch, Marian 1 Zwart, Hans J. all top 5 Serials 9 Numerical Functional Analysis and Optimization 7 Journal of Inverse and Ill-Posed Problems 6 Journal of Mathematical Sciences (New York) 6 Taiwanese Journal of Mathematics 5 Differential Equations 3 Semigroup Forum 3 Abstract and Applied Analysis 3 Differential Equations 2 Mathematical Notes 2 BIT 2 Journal of Functional Analysis 2 Fractional Calculus & Applied Analysis 2 Computational Methods in Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Journal of Mathematical Analysis and Applications 1 Matematicheskie Zametki 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Applied Mathematics and Computation 1 Chinese Journal of Mathematics 1 Differentsial’nye Uravneniya 1 Journal of the London Mathematical Society. Second Series 1 Journal of Soviet Mathematics 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematics of the USSR. Izvestiya 1 Siberian Mathematical Journal 1 Soviet Mathematics 1 Saitama Mathematical Journal 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Mathematics of the USSR, Sbornik 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Mathematics 1 Nonlinear Dynamics 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Discrete and Continuous Dynamical Systems. Series B 1 International Journal of Dynamical Systems and Differential Equations 1 Advances in Numerical Analysis 1 Contemporary Analysis and Applied Mathematics all top 5 Fields 50 Numerical analysis (65-XX) 47 Ordinary differential equations (34-XX) 43 Operator theory (47-XX) 35 Partial differential equations (35-XX) 6 Integral equations (45-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 562 times in 355 Documents Cited by ▼ Year ▼ The stability of rational approximations of analytic semigroups. Zbl 0783.65050 Crouzeix, M.; Larsson, S.; Piskarev, S.; Thomée, V. 50 1993 A general approximation scheme for attractors of abstract parabolic problems. Zbl 1110.35012 Carvalho, Alexandre N.; Piskarev, Sergey 49 2006 Differential equations in Banach spaces. II: Theory of cosine operator functions. Zbl 1115.34058 Vasil’ev, V. V.; Piskarev, S. I. 46 2004 On well-posedness of difference schemes for abstract parabolic equations in \(L^p([0,T];E)\) spaces. Zbl 1022.65095 Ashyralyev, Allaberen; Piskarev, Serguei; Weis, Lutz 34 2002 Semigroups of operators, cosine operator functions, and linear differential equations. Zbl 0748.47038 Vasil’ev, V. V.; Kreĭn, S. G.; Piskarev, S. I. 27 1990 On well-posedness of difference schemes for abstract elliptic problems in \(L^{p}([0, T];E)\) spaces. Zbl 1140.65073 Ashyralyev, Allaberen; Cuevas, Claudio; Piskarev, Sergey 26 2008 Approximation of abstract differential equations. Zbl 1111.47063 Guidetti, Davide; Karasözen, Bülent; Piskarev, Sergei 26 2004 Multiplicative perturbations of \(C_ 0\)-semigroups and some applications to step responses and cumulative outputs. Zbl 0823.47036 Piskarev, S.; Shaw, S.-Y. 20 1995 On certain operator families related to cosine operator functions. Zbl 0906.47030 Piskarev, S.; Shaw, S.-Y. 20 1997 On a class of time-fractional differential equations. Zbl 1312.34094 Li, Cheng-Gang; Kostić, Marko; Li, Miao; Piskarev, Sergey 17 2012 On approximation of inverse problems for abstract elliptic problems. Zbl 1195.65159 Orlovsky, D.; Piskarev, S. 16 2009 The approximation of Bitzadze-Samarsky type inverse problem for elliptic equations with Neumann conditions. Zbl 1294.34063 Orlovsky, Dmitry; Piskarev, Sergey 13 2013 On approximation of inverse problem for abstract parabolic differential equations in Banach spaces. Zbl 1188.65074 Prilepko, A.; Piskarev, S.; Shaw, S.-Y. 11 2007 On the approximation of holomorphic semigroups. Zbl 0428.35008 Piskarev, S. 11 1979 Multiple buckling and codimension-three bifurcation phenomena of a nonlinear oscillator. Zbl 1284.34050 Cao, Q. J.; Han, Y. W.; Liang, T. W.; Wiercigroch, M.; Piskarev, S. 11 2014 On the approximation of fractional resolution families. Zbl 1315.65074 Liu, Ru; Li, Miao; Pastor, J.; Piskarev, S. I. 9 2014 Crank-Nicolson scheme for abstract linear systems. Zbl 1151.65048 Piskarev, Sergey; Zwart, Hans 8 2007 On maximal regularity and semivariation of cosine operator functions. Zbl 0946.47030 Chyan, D.-K.; Shaw, S.-Y.; Piskarev, S. 8 1999 Stability of the Crank-Nicolson scheme and maximal regularity for parabolic equations in \(C^{\theta} (\overline{\Omega})\) spaces. Zbl 0938.65114 Guidetti, Davide; Piskarev, Sergei 8 1999 Shadowing for discrete approximations of abstract parabolic equations. Zbl 1158.65066 Beyn, Wolf-Jürgen; Piskarev, Sergey 8 2008 Perturbation and comparison of cosine operator functions. Zbl 0828.47037 Piskarev, S.; Shaw, S.-Y. 7 1995 Approximation of semilinear fractional Cauchy problem. Zbl 1315.65064 Liu, Ru; Li, Miao; Piskarev, Sergey 7 2015 On approximation of coefficient inverse problems for differential equations in functional spaces. Zbl 1434.35280 Orlovsky, D. G.; Piskarev, S. I. 7 2018 Maximal regularity for fractional Cauchy equation in Hölder space and its approximation. Zbl 07169916 Liu, Li; Fan, Zhenbin; Li, Gang; Piskarev, Sergey 6 2019 On the approximations of derivatives of integrated semigroups. II. Zbl 1279.34071 Li, Miao; Morozov, Vladimir; Piskarev, Sergey 6 2011 Stability of difference schemes in Cauchy problems with almost periodic solutions. Zbl 0551.65063 Piskarev, S. I. 5 1984 On regularly consistent operators. Zbl 0388.47007 Vainikko, G. M.; Piskarev, S. I. 5 1977 Approximations of parabolic equations at the vicinity of hyperbolic equilibrium point. Zbl 1329.65111 Cao, Qingjie; Pastor, Javier; Piskarev, Sergey; Siegmund, Stefan 5 2014 Stability of difference schemes for fractional equations. Zbl 1329.65166 Liu, Ru; Li, Miao; Piskarev, S. I. 5 2015 On approximation of integrated semigroups. Zbl 1221.65138 Li, Miao; Piskarev, Sergey 4 2010 Semidiscrete approximations of semilinear periodic problems in Banach spaces. Zbl 1126.34352 Bobylev, N. A.; Kim, J. K.; Korovin, S. K.; Piskarev, S. 4 1998 On multiplicative perturbations of \(C_0\)-groups and \(C_0\)-cosine operator functions. Zbl 1003.47033 Palencia, C.; Piskarev, S. 4 2001 Discrete convergence and the equivalence of equi-attraction and the continuous convergence of attractors. Zbl 1153.37014 Kloeden, Peter; Piskarev, Sergey 4 2007 Error estimates for approximation of semigroups of operators by Padé fractions. Zbl 0449.65027 Piskarev, S. I. 4 1979 On the compactness and the uniform continuity of a resolvent family for a fractional differential equation. Zbl 1313.34001 Antonyuk, O. V.; Kochubei, A. N.; Piskarev, S. I. 4 2014 The order of convergence of difference schemes for fractional equations. Zbl 1379.65072 Liu, Ru; Li, Miao; Piskarev, Sergey 4 2017 Inverses of generators of integrated fractional resolvent operator functions. Zbl 1439.34012 Li, Miao; Pastor, Javier; Piskarev, Sergey 4 2018 Second order equations in functional spaces: qualitative and discrete well-posedness. Zbl 1433.34081 Ashyralyev, A.; Pastor, J.; Piskarev, S.; Yurtsever, H. A. 4 2015 On the approximations of derivatives of integrated semigroups. Zbl 1279.34070 Li, Miao; Morozov, Vladimir; Piskarev, Sergey 4 2010 Approximation of the Bitsadze-Samarskii inverse problem for an elliptic equation with the Dirichlet conditions. Zbl 1286.65070 Orlovskii, D. G.; Piskarev, S. I. 4 2013 Estimates of the convergence rate in case of solution of ill-posed problems for evolution equations. Zbl 0642.65038 Piskarev, S. I. 3 1987 Solution of a second order evolution equation under the Krejn-Fattorini conditions. Zbl 0603.65040 Piskarev, S. I. 3 1985 On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems. Zbl 1067.65109 Guidetti, Davide; Piskarev, Sergei 3 2003 On approximation of inverse problems for abstract hyperbolic equations. Zbl 1410.65232 Orlovsky, Dmitry; Piskarev, Sergey; Spigler, Renato 3 2010 Almost-periodic solutions of second-order differential equations. Zbl 0658.34035 Piskarev, S. I. 2 1984 Estimates of the rate of convergence in solving illposed problems for evolution equations. Zbl 0664.65055 Piskarëv, S. I. 2 1988 Stochastic methods for ill-posed problems. Zbl 0960.65011 Burrage, K.; Piskarev, S. 2 2000 On well-posedness of abstract hyperbolic problems in function spaces. Zbl 1184.35224 Ashyralyev, A.; Martinez, M.; Pastor, J.; Piskarev, S. 2 2009 On some properties of step responses and cumulative outputs. Zbl 0819.47053 Piskarev, S.; Shaw, S.-Y. 2 1994 Approximation of positive \(C_ 0\)-semigroups of operators. Zbl 0733.65036 Piskarev, S. I. 2 1991 Inverse source problem for the abstract fractional differential equation. Zbl 1460.35393 Kostin, Andrey B.; Piskarev, Sergey I. 2 2021 Inverse problem with final overdetermination for time-fractional differential equation in a Banach space. Zbl 1494.34079 Orlovsky, Dmitry; Piskarev, Sergey 2 2022 Well-posedness and approximation for nonhomogeneous fractional differential equations. Zbl 1482.65148 Liu, Ru; Piskarev, Sergey 2 2021 Integrated semigroups and \(C\)-semigroups and their applications. Zbl 1471.47030 Vasil’ev, V. V.; Piskarev, S. I.; Selivanova, N. Yu. 2 2018 Convergence of difference schemes for the solution of nonlinear parabolic equations. Zbl 0661.65085 Piskarev, S. I. 1 1988 Periodic and almost periodic cosine operator functions. Zbl 0522.35007 Piskarev, S. I. 1 1982 Estimates of the rate of convergence for semidiscretized evolution equations. Zbl 0535.65036 Piskarev, S. I. 1 1983 The exponential dichotomy under discretization on general approximation scheme. Zbl 1236.65061 Pastor, Javier; Piskarev, Sergey 1 2011 Stability of Rothe’s scheme and maximal regularity for parabolic equations in \(C^\theta(\bar\Omega)\). Zbl 0917.35006 Guidetti, Davide; Piskarev, Sergei 1 1998 Local \(C\)-cosine families and \(n\)-times integrated local cosine families. Zbl 1080.34045 Takenaka, T.; Piskarev, S. 1 2004 A method of increasing the accuracy of the solution of initial problems in Banach space. Zbl 0699.34063 Piskarëv, S. I. 1 1988 Approximations for semilinear Cauchy problems involving second order equations in separable Banach spaces. Zbl 0872.34039 Ergenç, T.; Karasözen, B.; Piskarev, S. 1 1997 Rational approximations of analytic semigroups. Zbl 0817.47053 Piskarev, S. 1 1993 Compactness properties in the theory of the cosine operator functions. Zbl 0788.47038 Piskarev, S. I. 1 1992 Approximation of ill-posed problems and discretization of \(C\)-semigroups. Zbl 1022.65110 Piskarev, S.; Shaw, S.-Y.; van Casteren, J. A. 1 2002 Mean stability of semigroups. Zbl 1041.47021 Kantorovitz, Shmuel; Piskarev, Serguei 1 2002 The fractional d’Alembert’s formulas. Zbl 1433.45008 Li, Cheng-Gang; Li, Miao; Piskarev, Sergey; Meerschaert, Mark M. 1 2019 Approximations of stable manifolds in the vicinity of hyperbolic equilibrium points for fractional differential equations. Zbl 1439.34013 Piskarev, Sergey; Siegmund, Stefan 1 2019 Finite-difference methods for fractional differential equations of order \(1/2\). Zbl 1393.45009 Kokurin, M. Yu.; Piskarev, S. I.; Spreafico, Mauro 1 2018 Inverse problem with final overdetermination for time-fractional differential equation in a Banach space. Zbl 1494.34079 Orlovsky, Dmitry; Piskarev, Sergey 2 2022 Inverse source problem for the abstract fractional differential equation. Zbl 1460.35393 Kostin, Andrey B.; Piskarev, Sergey I. 2 2021 Well-posedness and approximation for nonhomogeneous fractional differential equations. Zbl 1482.65148 Liu, Ru; Piskarev, Sergey 2 2021 Maximal regularity for fractional Cauchy equation in Hölder space and its approximation. Zbl 07169916 Liu, Li; Fan, Zhenbin; Li, Gang; Piskarev, Sergey 6 2019 The fractional d’Alembert’s formulas. Zbl 1433.45008 Li, Cheng-Gang; Li, Miao; Piskarev, Sergey; Meerschaert, Mark M. 1 2019 Approximations of stable manifolds in the vicinity of hyperbolic equilibrium points for fractional differential equations. Zbl 1439.34013 Piskarev, Sergey; Siegmund, Stefan 1 2019 On approximation of coefficient inverse problems for differential equations in functional spaces. Zbl 1434.35280 Orlovsky, D. G.; Piskarev, S. I. 7 2018 Inverses of generators of integrated fractional resolvent operator functions. Zbl 1439.34012 Li, Miao; Pastor, Javier; Piskarev, Sergey 4 2018 Integrated semigroups and \(C\)-semigroups and their applications. Zbl 1471.47030 Vasil’ev, V. V.; Piskarev, S. I.; Selivanova, N. Yu. 2 2018 Finite-difference methods for fractional differential equations of order \(1/2\). Zbl 1393.45009 Kokurin, M. Yu.; Piskarev, S. I.; Spreafico, Mauro 1 2018 The order of convergence of difference schemes for fractional equations. Zbl 1379.65072 Liu, Ru; Li, Miao; Piskarev, Sergey 4 2017 Approximation of semilinear fractional Cauchy problem. Zbl 1315.65064 Liu, Ru; Li, Miao; Piskarev, Sergey 7 2015 Stability of difference schemes for fractional equations. Zbl 1329.65166 Liu, Ru; Li, Miao; Piskarev, S. I. 5 2015 Second order equations in functional spaces: qualitative and discrete well-posedness. Zbl 1433.34081 Ashyralyev, A.; Pastor, J.; Piskarev, S.; Yurtsever, H. A. 4 2015 Multiple buckling and codimension-three bifurcation phenomena of a nonlinear oscillator. Zbl 1284.34050 Cao, Q. J.; Han, Y. W.; Liang, T. W.; Wiercigroch, M.; Piskarev, S. 11 2014 On the approximation of fractional resolution families. Zbl 1315.65074 Liu, Ru; Li, Miao; Pastor, J.; Piskarev, S. I. 9 2014 Approximations of parabolic equations at the vicinity of hyperbolic equilibrium point. Zbl 1329.65111 Cao, Qingjie; Pastor, Javier; Piskarev, Sergey; Siegmund, Stefan 5 2014 On the compactness and the uniform continuity of a resolvent family for a fractional differential equation. Zbl 1313.34001 Antonyuk, O. V.; Kochubei, A. N.; Piskarev, S. I. 4 2014 The approximation of Bitzadze-Samarsky type inverse problem for elliptic equations with Neumann conditions. Zbl 1294.34063 Orlovsky, Dmitry; Piskarev, Sergey 13 2013 Approximation of the Bitsadze-Samarskii inverse problem for an elliptic equation with the Dirichlet conditions. Zbl 1286.65070 Orlovskii, D. G.; Piskarev, S. I. 4 2013 On a class of time-fractional differential equations. Zbl 1312.34094 Li, Cheng-Gang; Kostić, Marko; Li, Miao; Piskarev, Sergey 17 2012 On the approximations of derivatives of integrated semigroups. II. Zbl 1279.34071 Li, Miao; Morozov, Vladimir; Piskarev, Sergey 6 2011 The exponential dichotomy under discretization on general approximation scheme. Zbl 1236.65061 Pastor, Javier; Piskarev, Sergey 1 2011 On approximation of integrated semigroups. Zbl 1221.65138 Li, Miao; Piskarev, Sergey 4 2010 On the approximations of derivatives of integrated semigroups. Zbl 1279.34070 Li, Miao; Morozov, Vladimir; Piskarev, Sergey 4 2010 On approximation of inverse problems for abstract hyperbolic equations. Zbl 1410.65232 Orlovsky, Dmitry; Piskarev, Sergey; Spigler, Renato 3 2010 On approximation of inverse problems for abstract elliptic problems. Zbl 1195.65159 Orlovsky, D.; Piskarev, S. 16 2009 On well-posedness of abstract hyperbolic problems in function spaces. Zbl 1184.35224 Ashyralyev, A.; Martinez, M.; Pastor, J.; Piskarev, S. 2 2009 On well-posedness of difference schemes for abstract elliptic problems in \(L^{p}([0, T];E)\) spaces. Zbl 1140.65073 Ashyralyev, Allaberen; Cuevas, Claudio; Piskarev, Sergey 26 2008 Shadowing for discrete approximations of abstract parabolic equations. Zbl 1158.65066 Beyn, Wolf-Jürgen; Piskarev, Sergey 8 2008 On approximation of inverse problem for abstract parabolic differential equations in Banach spaces. Zbl 1188.65074 Prilepko, A.; Piskarev, S.; Shaw, S.-Y. 11 2007 Crank-Nicolson scheme for abstract linear systems. Zbl 1151.65048 Piskarev, Sergey; Zwart, Hans 8 2007 Discrete convergence and the equivalence of equi-attraction and the continuous convergence of attractors. Zbl 1153.37014 Kloeden, Peter; Piskarev, Sergey 4 2007 A general approximation scheme for attractors of abstract parabolic problems. Zbl 1110.35012 Carvalho, Alexandre N.; Piskarev, Sergey 49 2006 Differential equations in Banach spaces. II: Theory of cosine operator functions. Zbl 1115.34058 Vasil’ev, V. V.; Piskarev, S. I. 46 2004 Approximation of abstract differential equations. Zbl 1111.47063 Guidetti, Davide; Karasözen, Bülent; Piskarev, Sergei 26 2004 Local \(C\)-cosine families and \(n\)-times integrated local cosine families. Zbl 1080.34045 Takenaka, T.; Piskarev, S. 1 2004 On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems. Zbl 1067.65109 Guidetti, Davide; Piskarev, Sergei 3 2003 On well-posedness of difference schemes for abstract parabolic equations in \(L^p([0,T];E)\) spaces. Zbl 1022.65095 Ashyralyev, Allaberen; Piskarev, Serguei; Weis, Lutz 34 2002 Approximation of ill-posed problems and discretization of \(C\)-semigroups. Zbl 1022.65110 Piskarev, S.; Shaw, S.-Y.; van Casteren, J. A. 1 2002 Mean stability of semigroups. Zbl 1041.47021 Kantorovitz, Shmuel; Piskarev, Serguei 1 2002 On multiplicative perturbations of \(C_0\)-groups and \(C_0\)-cosine operator functions. Zbl 1003.47033 Palencia, C.; Piskarev, S. 4 2001 Stochastic methods for ill-posed problems. Zbl 0960.65011 Burrage, K.; Piskarev, S. 2 2000 On maximal regularity and semivariation of cosine operator functions. Zbl 0946.47030 Chyan, D.-K.; Shaw, S.-Y.; Piskarev, S. 8 1999 Stability of the Crank-Nicolson scheme and maximal regularity for parabolic equations in \(C^{\theta} (\overline{\Omega})\) spaces. Zbl 0938.65114 Guidetti, Davide; Piskarev, Sergei 8 1999 Semidiscrete approximations of semilinear periodic problems in Banach spaces. Zbl 1126.34352 Bobylev, N. A.; Kim, J. K.; Korovin, S. K.; Piskarev, S. 4 1998 Stability of Rothe’s scheme and maximal regularity for parabolic equations in \(C^\theta(\bar\Omega)\). Zbl 0917.35006 Guidetti, Davide; Piskarev, Sergei 1 1998 On certain operator families related to cosine operator functions. Zbl 0906.47030 Piskarev, S.; Shaw, S.-Y. 20 1997 Approximations for semilinear Cauchy problems involving second order equations in separable Banach spaces. Zbl 0872.34039 Ergenç, T.; Karasözen, B.; Piskarev, S. 1 1997 Multiplicative perturbations of \(C_ 0\)-semigroups and some applications to step responses and cumulative outputs. Zbl 0823.47036 Piskarev, S.; Shaw, S.-Y. 20 1995 Perturbation and comparison of cosine operator functions. Zbl 0828.47037 Piskarev, S.; Shaw, S.-Y. 7 1995 On some properties of step responses and cumulative outputs. Zbl 0819.47053 Piskarev, S.; Shaw, S.-Y. 2 1994 The stability of rational approximations of analytic semigroups. Zbl 0783.65050 Crouzeix, M.; Larsson, S.; Piskarev, S.; Thomée, V. 50 1993 Rational approximations of analytic semigroups. Zbl 0817.47053 Piskarev, S. 1 1993 Compactness properties in the theory of the cosine operator functions. Zbl 0788.47038 Piskarev, S. I. 1 1992 Approximation of positive \(C_ 0\)-semigroups of operators. Zbl 0733.65036 Piskarev, S. I. 2 1991 Semigroups of operators, cosine operator functions, and linear differential equations. Zbl 0748.47038 Vasil’ev, V. V.; Kreĭn, S. G.; Piskarev, S. I. 27 1990 Estimates of the rate of convergence in solving illposed problems for evolution equations. Zbl 0664.65055 Piskarëv, S. I. 2 1988 Convergence of difference schemes for the solution of nonlinear parabolic equations. Zbl 0661.65085 Piskarev, S. I. 1 1988 A method of increasing the accuracy of the solution of initial problems in Banach space. Zbl 0699.34063 Piskarëv, S. I. 1 1988 Estimates of the convergence rate in case of solution of ill-posed problems for evolution equations. Zbl 0642.65038 Piskarev, S. I. 3 1987 Solution of a second order evolution equation under the Krejn-Fattorini conditions. Zbl 0603.65040 Piskarev, S. I. 3 1985 Stability of difference schemes in Cauchy problems with almost periodic solutions. Zbl 0551.65063 Piskarev, S. I. 5 1984 Almost-periodic solutions of second-order differential equations. Zbl 0658.34035 Piskarev, S. I. 2 1984 Estimates of the rate of convergence for semidiscretized evolution equations. Zbl 0535.65036 Piskarev, S. I. 1 1983 Periodic and almost periodic cosine operator functions. Zbl 0522.35007 Piskarev, S. I. 1 1982 On the approximation of holomorphic semigroups. Zbl 0428.35008 Piskarev, S. 11 1979 Error estimates for approximation of semigroups of operators by Padé fractions. Zbl 0449.65027 Piskarev, S. I. 4 1979 On regularly consistent operators. Zbl 0388.47007 Vainikko, G. M.; Piskarev, S. I. 5 1977 all cited Publications top 5 cited Publications all top 5 Cited by 368 Authors 42 Ashyralyev, Allaberen 36 Piskarëv, S. I. 15 Nolasco de Carvalho, Alexandre 13 Shakhmurov, Veli B. 11 Ashyralyyev, Charyyar 11 Li, Miao 9 Arrieta, José M. 9 Cuevas, Claudio 8 Henríquez, Hernán R. 8 Umarov, Khasan Galsanovich 7 Langa, Jose’ Antonio 7 Li, Buyang 7 Palencia, Cesar 6 Erdogan, Abdullah Said 6 Glushak, A. V. 6 Lizama, Carlos 6 Simsen, Jacson 5 Bezerra, Flank David Morais 5 Kostić, Marko 5 Lamberti, Pier Domenico 5 Liu, Ru 5 Pastor, Javier 5 Pozo, Juan Carlos 4 Ashyraliyev, Maksat 4 Bazhlekova, Emilia G. 4 Fan, Zhenbin 4 Guidetti, Davide 4 Kokurin, Mikhail Mikhailovich 4 Liang, Jin 4 Lozada-Cruz, German 4 Orlovskiĭ, Dmitriĭ Germanovich 4 Pereira, Marcone Corrêa 4 Poblete, Verónica 4 Robinson, James Cooper 4 Shaw, Sen-Yen 4 Xiao, Ti-Jun 4 Yildirim, Ozgur 3 Aggez, Necmettin 3 Anastassiou, George Angelos 3 Bakaev, Nikolai Yu. 3 Chang, Jung-Chan 3 Chen, Hebai 3 Da Silva, Ricardo Parreira 3 Gercek, Okan 3 Gomilko, Alexandre M. 3 He, Jiawei 3 Koksal, Mehmet Emir 3 Kovács, Mihály 3 Li, Chenggang 3 Li, Gang 3 Lubich, Christian 3 McKibben, Mark Anthony 3 Neubrander, Frank 3 Obukhovskiĭ, Valeriĭ Vladimirovich 3 Ozdemir, Yildirim 3 Ozturk, Elif 3 Ponce, Rodrigo F. 3 Shahmurov, Rishad 3 Simsen, Mariza Stefanello 3 Sirma, Ali 3 Spijker, Marc N. 3 Tetikoglu, Fatma Songul Ozesenli 3 Thomée, Vidar 3 Tomilov, Yuri 3 Webster, Micah D. 3 Yurtsever, Hasan Ali 2 Agarwal, Ravi P. 2 Akrivis, Georgios D. 2 Alonso-Mallo, Isaías 2 Ashyralyyeva, Maral Allaberenovna 2 Bahyrycz, Anna 2 Bakushinskĭ, Anatoliĭ Borisovich B. 2 Batty, Charles J. K. 2 Borovykh, Natalia Alexandrovna 2 Cai, Wentao 2 Calvo, M. P. 2 Cao, Qingjie 2 Carbone, Vera Lúcia 2 Castro, Airton 2 Crouzeix, Michel 2 Cuesta, Eduardo 2 Dedeturk, Mutlu 2 deLaubenfels, Ralph J. 2 Ferrero, Alberto 2 Figueroa-López, Rodiak N. 2 Gil’, Michael Iosif 2 Gou, Haide 2 Jara, Patricio 2 Jia, Man 2 Jin, Bangti 2 Jorge, Juan Carlos 2 Kalinin, Aleksey V. 2 Kamenskiĭ, Mikhaĭl Igor’evich 2 Karthikeyan, Kulandhivel 2 Kemmochi, Tomoya 2 Kokurin, Mikhail Yur’evich 2 Kreĭn, Selim Grigor’evich 2 Larsson, Stig 2 Li, Chenyu 2 Liu, Li ...and 268 more Authors all top 5 Cited in 128 Serials 19 Abstract and Applied Analysis 14 Journal of Differential Equations 12 Journal of Mathematical Analysis and Applications 12 Numerical Functional Analysis and Optimization 11 Differential Equations 10 Computers & Mathematics with Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Semigroup Forum 9 Applied Mathematics and Computation 9 Applied Numerical Mathematics 7 Mathematics of Computation 7 Computational Mathematics and Mathematical Physics 7 Journal of Inverse and Ill-Posed Problems 7 Fractional Calculus & Applied Analysis 7 Journal of Evolution Equations 7 Boundary Value Problems 6 Applicable Analysis 6 Mathematical Methods in the Applied Sciences 6 SIAM Journal on Numerical Analysis 5 Numerische Mathematik 5 Russian Mathematics 5 Journal of Mathematical Sciences (New York) 4 BIT 4 Journal of Functional Analysis 4 Journal of Difference Equations and Applications 4 Nonlinear Dynamics 4 Discrete Dynamics in Nature and Society 4 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Soviet Mathematics 3 Siberian Mathematical Journal 3 Journal of Dynamics and Differential Equations 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Filomat 3 Communications on Pure and Applied Analysis 3 Mediterranean Journal of Mathematics 3 Advances in Difference Equations 3 Nonlinear Analysis. Theory, Methods & Applications 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Studia Mathematica 2 Integral Equations and Operator Theory 2 Journal of Computational and Applied Mathematics 2 Transactions of the American Mathematical Society 2 Numerical Methods for Partial Differential Equations 2 Topological Methods in Nonlinear Analysis 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Discrete and Continuous Dynamical Systems 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Fixed Point Theory and Applications 2 International Journal of Differential Equations 2 Analysis and Mathematical Physics 2 Evolution Equations and Control Theory 2 Journal of Function Spaces 1 Bulletin of the Australian Mathematical Society 1 Lithuanian Mathematical Journal 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Calcolo 1 Gaṇita 1 Kybernetes 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Ergodic Theory and Dynamical Systems 1 Zeitschrift für Analysis und ihre Anwendungen 1 Physica D 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Aequationes Mathematicae 1 Applied Mathematical Modelling 1 SIAM Journal on Mathematical Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Calculus of Variations and Partial Differential Equations 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Georgian Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Integral Transforms and Special Functions 1 Complexity 1 Mathematical Problems in Engineering 1 Mathematical Physics, Analysis and Geometry 1 Journal of Inequalities and Applications 1 Lobachevskii Journal of Mathematics 1 Qualitative Theory of Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Zhejiang University. Science 1 Dynamical Systems 1 Foundations of Computational Mathematics 1 Journal of the Australian Mathematical Society 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu ...and 28 more Serials all top 5 Cited in 28 Fields 191 Partial differential equations (35-XX) 134 Numerical analysis (65-XX) 127 Ordinary differential equations (34-XX) 120 Operator theory (47-XX) 20 Difference and functional equations (39-XX) 20 Integral equations (45-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Real functions (26-XX) 13 Functional analysis (46-XX) 13 Mechanics of deformable solids (74-XX) 11 Systems theory; control (93-XX) 9 Probability theory and stochastic processes (60-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 4 Biology and other natural sciences (92-XX) 3 Special functions (33-XX) 3 Optics, electromagnetic theory (78-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year