Edit Profile (opens in new tab) Shaikhet, Leonid Efimovich Co-Author Distance Author ID: shaikhet.leonid-e Published as: Shaikhet, Leonid; Shajkhet, L. E.; Shaikhet, L.; Shaikhet, L. E.; Shaikhet, Leonid E.; Shaĭkhet, L. E.; Shaikhet, Leonid Efimovich more...less Homepage: http://www.math.cmu.edu/~shaikhet/leonid/research_leonid.html External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 134 Publications since 1974, including 5 Books Reviewing Activity: 1 Review Co-Authors: 27 Co-Authors with 65 Joint Publications 1,589 Co-Co-Authors all top 5 Co-Authors 69 single-authored 28 Kolmanovskii, Vladimir Borisovich 4 Dvornikov, V. I. 4 Paternoster, Beatrice 3 Caraballo Garrido, Tomás 3 Fridman, Emilia 3 Korobeinikov, Andrei 3 Kuchkina, Natalia V. 2 Abbas, Syed 2 Borne, Pierre 2 Bradul, Nataliya 2 Bunimovich-Mendrazitsky, Svetlana 2 Burgos, Clara 2 Cortés López, Juan Carlos 2 Roberts, Jason A. 2 Santonja, Francisco-José 2 Villanueva, Rafael-Jacinto 1 Agarwal, Ravi P. 1 Andreeva, Elena Anatol’evna 1 Beretta, Edoardo 1 Chatzarakis, George E. 1 Elena, Santiago F. 1 Kosareva, N. P. 1 Luo, Jiaowan 1 Real Anguas, José 1 Rodkina, Alexandra 1 Schurz, Henri 1 Shafir, M. L. all top 5 Serials 12 Applied Mathematics Letters 6 Theory of Stochastic Processes 5 Journal of Applied Mathematics and Mechanics 5 Teoriya Sluchaĭnykh Protsessov 5 Advances in Difference Equations 4 Mathematical Notes 4 Differential Equations 4 Automation and Remote Control 4 Discrete Dynamics in Nature and Society 4 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 3 Computers & Mathematics with Applications 3 Journal of Soviet Mathematics 3 Mathematics and Computers in Simulation 3 Stochastic Analysis and Applications 3 Dynamic Systems and Applications 3 Problems of Control and Information Theory 3 International Journal of Robust and Nonlinear Control 3 Random Operators and Stochastic Equations 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 2 Matematicheskie Zametki 2 Soviet Applied Mechanics 2 Automatica 2 Mathematical and Computer Modelling 2 Journal of Difference Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 Functional Differential Equations 2 Journal of Biological Systems 1 Applicable Analysis 1 International Journal of Control 1 Journal of Mathematical Analysis and Applications 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Cybernetics 1 Systems & Control Letters 1 Soviet Journal of Computer and Systems Sciences 1 Problemy Peredachi Informatsii 1 Neural, Parallel & Scientific Computations 1 Theory of Probability and Mathematical Statistics 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Trudy Instituta Prikladnoĭ Matematiki i Mekhaniki 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 Mathematical Biosciences and Engineering 1 Translations of Mathematical Monographs 1 Computational & Mathematical Methods in Medicine 1 Discrete and Continuous Dynamical Systems. Series S 1 Studies in Systems, Decision and Control 1 Modern Stochastics. Theory and Applications all top 5 Fields 73 Systems theory; control (93-XX) 46 Ordinary differential equations (34-XX) 46 Probability theory and stochastic processes (60-XX) 27 Difference and functional equations (39-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 16 Biology and other natural sciences (92-XX) 8 Dynamical systems and ergodic theory (37-XX) 5 Partial differential equations (35-XX) 5 Integral equations (45-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 1,000 times in 541 Documents Cited by ▼ Year ▼ Stability of epidemic model with time delays influenced by stochastic perturbations. Zbl 1017.92504Beretta, Edoardo; Kolmanovskii, Vladimir; Shaikhet, Leonid 142 1998 Lyapunov functionals and stability of stochastic functional differential equations. Zbl 1277.34003Shaikhet, Leonid 81 2013 Stability of stochastic hereditary systems with Markov switching. Zbl 0939.60049Shaikhet, Leonid E. 53 1996 Lyapunov functionals and stability of stochastic difference equations. Zbl 1255.93001Shaikhet, Leonid 48 2011 Construction of Lyapunov functionals for stochastic hereditary systems: A survey of some recent results. Zbl 1029.93057Kolmanovskii, V.; Shaikhet, L. 42 2002 Method of Lyapunov functionals construction in stability of delay evolution equations. Zbl 1178.34087Caraballo, T.; Real, J.; Shaikhet, L. 35 2007 General method of Lyapunov functionals construction for stability investigation of stochastic difference equations. Zbl 0846.93083Kolmanovskij, Vladimir; Shaikhet, Leonid 32 1995 Necessary and sufficient conditions of asymptotic mean square stability for stochastic linear difference equations. Zbl 0883.39005Shaikhet, L. 30 1997 Some peculiarities of the general method of Lyapunov functionals construction. Zbl 1015.39001Kolmanovskii, V.; Shaikhet, L. 25 2002 About Lyapunov functionals construction for difference equations with continuous time. Zbl 1068.39023Shaikhet, L. 22 2004 Delay-induced stability of vector second-order systems via simple Lyapunov functionals. Zbl 1348.93218Fridman, Emilia; Shaikhet, Leonid 18 2016 Some new aspects of Lyapunov-type theorems for stochastic differential equations of neutral type. Zbl 1235.34212Shaikhet, L. 18 2010 Stability in probability of nonlinear stochastic hereditary systems. Zbl 0831.60075Shaikhet, L. 18 1995 Some conditions for boundedness of solutions of difference Volterra equations. Zbl 1107.39301Kolmanovskii, V.; Shaikhet, L. 17 2003 Stability of a positive point of equilibrium of one nonlinear system with aftereffect and stochastic perturbations. Zbl 1155.34352Shaikhet, Leonid 16 2008 Stability of the positive point of equilibrium of Nicholson’s blowflies equation with stochastic perturbations: numerical analysis. Zbl 1179.60039Bradul, Nataliya; Shaikhet, Leonid 16 2007 New results in stability theory for stochastic functional differential equations (SEDEs) and their applications. Zbl 0811.34062Kolmanovskij, V.; Shaikhet, L. 15 1994 Stabilization by using artificial delays: an LMI approach. Zbl 1417.93252Fridman, Emilia; Shaikhet, Leonid 15 2017 About stability of nonlinear stochastic difference equations. Zbl 0959.60056Paternoster, B.; Shaikhet, L. 15 2000 Matrix Riccati equations and stability of stochastic linear systems with nonincreasing delays. Zbl 1148.93346Kolmanovskii, V. B.; Shaikhet, L. E. 14 1997 Stability in probability of nonlinear stochastic systems with delay. Zbl 0843.93086Shaikhet, L. E. 13 1995 About one application of the general method of Lyapunov functionals construction. Zbl 1075.93017Kolmanovskii, V.; Shaikhet, L. 13 2003 Riccati equations in the stability of retarded stochastic linear systems. Zbl 1123.34323Kovalev, A. A.; Kolmanovskii, V. B.; Shaikhet, L. E. 13 1998 Oscillation criteria for difference equations with non-monotone arguments. Zbl 1422.39037Chatzarakis, George E.; Shaikhet, Leonid 12 2017 Stability of a stochastic model for HIV-1 dynamics within a host. Zbl 1351.92050Shaikhet, Leonid; Korobeinikov, Andrei 12 2016 On optimal control of Volterra’s equations. Zbl 0566.93071Shaikhet, L. E. 11 1984 Reliability of difference analogues to preserve stability properties of stochastic Volterra integro-differential equations. Zbl 1133.65003Shaikhet, Leonid E.; Roberts, Jason A. 11 2006 Simple LMIs for stability of stochastic systems with delay term given by Stieltjes integral or with stabilizing delay. Zbl 1408.93136Fridman, Emilia; Shaikhet, Leonid 11 2019 Construction of Lyapunov functionals for stochastic difference equations with continuous time. Zbl 1066.93062Shaikhet, Leonid E. 11 2004 Stabilization of inverted pendulum by control with delay. Zbl 1045.70015Borne, P.; Kolmanovskij, V.; Shaikhet, L. 11 2000 Modern state and development perspectives of Lyapunov functionals method in the stability theory of stochastic hereditary systems. Zbl 0893.60029Shaikhet, Leonid E. 11 1996 Probabilistic stability analysis of social obesity epidemic by a delayed stochastic model. Zbl 1292.93141Santonja, F. J.; Shaikhet, L. 11 2014 Lyapunov functionals construction for stochastic difference second-kind Volterra equations with continuous time. Zbl 1080.39017Shaikhet, Leonid 10 2004 Almost sure stability of some stochastic dynamical systems with memory. Zbl 1148.39011Rodkina, Alexandra; Schurz, Henri; Shaikhet, Leonid 9 2008 Stability of equilibrium states for a stochastically perturbed exponential type system of difference equations. Zbl 1321.39022Shaikhet, Leonid 8 2015 Analysing social epidemics by delayed stochastic models. Zbl 1248.91088Santonja, Francisco-José; Shaikhet, Leonid 7 2012 Method for constructing Lyapunov functionals for stochastic differential equations of the neutral type. Zbl 0869.93052Kolmanovskij, V. B.; Shaikhet, L. E. 7 1995 Stability of equilibriums of stochastically perturbed delay differential neoclassical growth model. Zbl 1365.34142Shaikhet, Leonid 7 2017 Stability of delay evolution equations with stochastic perturbations. Zbl 1316.60104Caraballo, Tomás; Shaikhet, Leonid 6 2014 About an unsolved stability problem for a stochastic difference equation with continuous time. Zbl 1214.39008Shaikhet, Leonid 6 2011 On a method to construct Lyapunov functionals for stochastic systems with aftereffect. Zbl 0815.34068Kolmanovskij, V. B.; Shajkhet, L. E. 6 1993 About stability of delay differential equations with square integrable level of stochastic perturbations. Zbl 1426.60082Shaikhet, Leonid 6 2019 Optimal control problem for nonlinear stochastic difference second kind Volterra equations. Zbl 0898.93036Kuchkina, N.; Shaikhet, L. 6 1997 Stability in probability of nonlinear stochastic Volterra difference equations with continuous variable. Zbl 1139.39018Luo, Jiaowan; Shaikhet, Leonid 5 2007 About stability of difference equations with continuous time and fading stochastic perturbations. Zbl 1420.39013Shaikhet, Leonid 5 2019 Stability of the zero and positive equilibria of two connected neoclassical growth models under stochastic perturbations. Zbl 1508.91349Shaikhet, Leonid 5 2019 A nonlinear dynamic age-structured model of e-commerce in Spain: stability analysis of the equilibrium by delay and stochastic perturbations. Zbl 1508.91385Burgos, C.; Cortés, J.-C.; Shaikhet, Leonid; Villanueva, R.-J. 5 2018 Stability of equilibrium states of a nonlinear delay differential equation with stochastic perturbations. Zbl 1369.93702Shaikhet, Leonid 5 2017 Optimal control of Volterra type stochastic difference equations. Zbl 0987.93078Kuchkina, N.; Shaikhet, L. 5 1998 Numerical simulation and stability of stochastic systems with Markovian switching. Zbl 1024.65007Shaikhet, Leonid 5 2002 Improved condition for stabilization of controlled inverted pendulum under stochastic perturbations. Zbl 1178.34093Shaikhet, Leonid 4 2009 Stability of equilibrium points of fractional difference equations with stochastic perturbations. Zbl 1149.39007Paternoster, Beatrice; Shaikhet, Leonid 4 2008 About stability of difference equations with square summable level of stochastic perturbations. Zbl 1434.39013Shaikhet, Leonid 4 2020 Stability of equilibrium states for a stochastically perturbed mosquito population equation. Zbl 1292.93142Shaikhet, Leonid 3 2014 Optimal control of stochastic integral equations. Zbl 0597.93069Shaikhet, L. E. 3 1986 Stability of a positive equilibrium state for a stochastically perturbed mathematical model of glassy-winged sharpshooter population. Zbl 1327.92049Shaikhet, Leonid 3 2014 On an optimal control problem of partly observable stochastic Volterra’s process. Zbl 0652.93064Shajkhet, L. E. 3 1987 Optimal control of some hyperbolic and integral stochastic equations. Zbl 0695.49024Shaĭkhet, L. E. 3 1987 On optimal control of a class of stochastic partial differential equations. Zbl 0504.93071Shajkhet, L. E. 3 1982 Stability analysis of delayed immune response BCG infection in bladder cancer treatment model by stochastic perturbations. Zbl 1431.92068Shaikhet, Leonid; Bunimovich-Mendrazitsky, Svetlana 3 2018 Filtering of Gaussian stochastic processes by observations with delays. Zbl 0777.93087Kolmanovskij, Vladimir B.; Shaikhet, Leonid E. 3 1992 General method of Lyapunov functionals construction in stability investigations of nonlinear stochastic difference equations with continuous time. Zbl 1083.39010Shaikhet, Leonid 3 2005 Control of systems with aftereffect. Transl. from the Russian by Victor Kotov. Zbl 0937.93001Kolmanovskij, V. B.; Shajkhet, L. E. 3 1996 Optimal control of stochastic difference Volterra equations. An introduction. Zbl 1309.49001Shaikhet, Leonid 2 2015 State estimation of hereditary stochastic systems. Zbl 0691.93053Kolmanovskij, V. B.; Shaikhet, L. E. 2 1989 Asymptotic stability analysis of a stochastic Volterra integro-differential equation with fading memory. Zbl 1263.93196Shaikhet, L. E.; Roberts, J. A. 2 2011 Stability of delay differential equations with fading stochastic perturbations of the type of white noise and Poisson’s jumps. Zbl 1458.34139Shaikhet, Leonid 2 2020 Behavior of solution of stochastic delay differential equation with additive fading perturbations. Zbl 1453.34104Shaikhet, Leonid 2 2021 Linear square optimal control problem for stochastic difference equations with unknown parameters. Zbl 0881.93090Agarwal, R. P.; Shaikhet, L. E. 2 1997 Stability of systems of stochastic linear difference equations with varying delays. Zbl 0938.93059Shaikhet, Leonid E. 2 1998 Application of the general method of Lyapunov functionals construction for difference Volterra equations. Zbl 1069.39011Paternoster, B.; Shaikhet, L. 2 2004 Steady-state solutions of nonlinear model of inverted pendulum. Zbl 0993.60051Borne, Pierre; Kolmanovskij, Vladimir B.; Shaikhet, Leonid E. 2 1999 Global asymptotic properties of a stochastic model of population growth. Zbl 1472.92182Korobeinikov, Andrei; Shaikhet, Leonid 1 2021 Two unsolved problems in the stability theory of stochastic differential equations with delay. Zbl 1247.60086Shaikhet, Leonid 1 2012 A stability with respect to probability for the stochastic systems with an after-effect. Zbl 0421.93076Shaikhet, L. E. 1 1976 On the approximate synthesis of the optimal control of stochastic quasilinear systems with aftereffect. Zbl 0425.93055Kolmanovskij, V. B.; Shaikhet, L. E. 1 1980 Mean square summability of solution of stochastic difference second-kind Volterra equation with small nonlinearity. Zbl 1149.39006Paternoster, Beatrice; Shaikhet, Leonid 1 2007 Optimal control of certain hyperbolic and integral stochastic equations. Zbl 0719.49019Shaĭkhet, L. E. 1 1991 A new view on one problem of asymptotic behavior of solutions of delay difference equations. Zbl 1121.39005Shaikhet, L. 1 2006 Stability of delay evolution equations with fading stochastic perturbations. Zbl 1490.60191Shaikhet, Leonid; Caraballo, Tomás 1 2022 Problems of the stability for stochastic difference equations. Zbl 0930.39014Shaikhet, Leonid E. 1 1997 Stability of the stochastic difference Volterra equations. Zbl 0939.60071Kuchkina, Natalia V.; Shaikhet, Leonid E. 1 1996 Stability of some stochastic Volterra type equations. Zbl 0987.93076Kolmanovskij, V. B.; Shaikhet, L. E. 1 1997 A method for constructing Lyapunov functionals. Zbl 0983.93062Kolmanovskij, V. B.; Kosareva, N. P.; Shajkhet, L. E. 1 1999 About some asymptotic properties of solution of stochastic delay differential equation with a logarithmic nonlinearity. Zbl 1474.34566Shaikhet, Leonid Efimovich 1 2017 Stability of three species symbiosis model with delay and stochastic perturbations. Zbl 1496.92079Abbas, Syed; Shaikhet, Leonid 1 2022 Behavior of solution of stochastic difference equation with continuous time under additive fading noise. Zbl 1484.39020Shaikhet, Leonid 1 2022 Stability of delay evolution equations with fading stochastic perturbations. Zbl 1490.60191Shaikhet, Leonid; Caraballo, Tomás 1 2022 Stability of three species symbiosis model with delay and stochastic perturbations. Zbl 1496.92079Abbas, Syed; Shaikhet, Leonid 1 2022 Behavior of solution of stochastic difference equation with continuous time under additive fading noise. Zbl 1484.39020Shaikhet, Leonid 1 2022 Behavior of solution of stochastic delay differential equation with additive fading perturbations. Zbl 1453.34104Shaikhet, Leonid 2 2021 Global asymptotic properties of a stochastic model of population growth. Zbl 1472.92182Korobeinikov, Andrei; Shaikhet, Leonid 1 2021 About stability of difference equations with square summable level of stochastic perturbations. Zbl 1434.39013Shaikhet, Leonid 4 2020 Stability of delay differential equations with fading stochastic perturbations of the type of white noise and Poisson’s jumps. Zbl 1458.34139Shaikhet, Leonid 2 2020 Simple LMIs for stability of stochastic systems with delay term given by Stieltjes integral or with stabilizing delay. Zbl 1408.93136Fridman, Emilia; Shaikhet, Leonid 11 2019 About stability of delay differential equations with square integrable level of stochastic perturbations. Zbl 1426.60082Shaikhet, Leonid 6 2019 About stability of difference equations with continuous time and fading stochastic perturbations. Zbl 1420.39013Shaikhet, Leonid 5 2019 Stability of the zero and positive equilibria of two connected neoclassical growth models under stochastic perturbations. Zbl 1508.91349Shaikhet, Leonid 5 2019 A nonlinear dynamic age-structured model of e-commerce in Spain: stability analysis of the equilibrium by delay and stochastic perturbations. Zbl 1508.91385Burgos, C.; Cortés, J.-C.; Shaikhet, Leonid; Villanueva, R.-J. 5 2018 Stability analysis of delayed immune response BCG infection in bladder cancer treatment model by stochastic perturbations. Zbl 1431.92068Shaikhet, Leonid; Bunimovich-Mendrazitsky, Svetlana 3 2018 Stabilization by using artificial delays: an LMI approach. Zbl 1417.93252Fridman, Emilia; Shaikhet, Leonid 15 2017 Oscillation criteria for difference equations with non-monotone arguments. Zbl 1422.39037Chatzarakis, George E.; Shaikhet, Leonid 12 2017 Stability of equilibriums of stochastically perturbed delay differential neoclassical growth model. Zbl 1365.34142Shaikhet, Leonid 7 2017 Stability of equilibrium states of a nonlinear delay differential equation with stochastic perturbations. Zbl 1369.93702Shaikhet, Leonid 5 2017 About some asymptotic properties of solution of stochastic delay differential equation with a logarithmic nonlinearity. Zbl 1474.34566Shaikhet, Leonid Efimovich 1 2017 Delay-induced stability of vector second-order systems via simple Lyapunov functionals. Zbl 1348.93218Fridman, Emilia; Shaikhet, Leonid 18 2016 Stability of a stochastic model for HIV-1 dynamics within a host. Zbl 1351.92050Shaikhet, Leonid; Korobeinikov, Andrei 12 2016 Stability of equilibrium states for a stochastically perturbed exponential type system of difference equations. Zbl 1321.39022Shaikhet, Leonid 8 2015 Optimal control of stochastic difference Volterra equations. An introduction. Zbl 1309.49001Shaikhet, Leonid 2 2015 Probabilistic stability analysis of social obesity epidemic by a delayed stochastic model. Zbl 1292.93141Santonja, F. J.; Shaikhet, L. 11 2014 Stability of delay evolution equations with stochastic perturbations. Zbl 1316.60104Caraballo, Tomás; Shaikhet, Leonid 6 2014 Stability of equilibrium states for a stochastically perturbed mosquito population equation. Zbl 1292.93142Shaikhet, Leonid 3 2014 Stability of a positive equilibrium state for a stochastically perturbed mathematical model of glassy-winged sharpshooter population. Zbl 1327.92049Shaikhet, Leonid 3 2014 Lyapunov functionals and stability of stochastic functional differential equations. Zbl 1277.34003Shaikhet, Leonid 81 2013 Analysing social epidemics by delayed stochastic models. Zbl 1248.91088Santonja, Francisco-José; Shaikhet, Leonid 7 2012 Two unsolved problems in the stability theory of stochastic differential equations with delay. Zbl 1247.60086Shaikhet, Leonid 1 2012 Lyapunov functionals and stability of stochastic difference equations. Zbl 1255.93001Shaikhet, Leonid 48 2011 About an unsolved stability problem for a stochastic difference equation with continuous time. Zbl 1214.39008Shaikhet, Leonid 6 2011 Asymptotic stability analysis of a stochastic Volterra integro-differential equation with fading memory. Zbl 1263.93196Shaikhet, L. E.; Roberts, J. A. 2 2011 Some new aspects of Lyapunov-type theorems for stochastic differential equations of neutral type. Zbl 1235.34212Shaikhet, L. 18 2010 Improved condition for stabilization of controlled inverted pendulum under stochastic perturbations. Zbl 1178.34093Shaikhet, Leonid 4 2009 Stability of a positive point of equilibrium of one nonlinear system with aftereffect and stochastic perturbations. Zbl 1155.34352Shaikhet, Leonid 16 2008 Almost sure stability of some stochastic dynamical systems with memory. Zbl 1148.39011Rodkina, Alexandra; Schurz, Henri; Shaikhet, Leonid 9 2008 Stability of equilibrium points of fractional difference equations with stochastic perturbations. Zbl 1149.39007Paternoster, Beatrice; Shaikhet, Leonid 4 2008 Method of Lyapunov functionals construction in stability of delay evolution equations. Zbl 1178.34087Caraballo, T.; Real, J.; Shaikhet, L. 35 2007 Stability of the positive point of equilibrium of Nicholson’s blowflies equation with stochastic perturbations: numerical analysis. Zbl 1179.60039Bradul, Nataliya; Shaikhet, Leonid 16 2007 Stability in probability of nonlinear stochastic Volterra difference equations with continuous variable. Zbl 1139.39018Luo, Jiaowan; Shaikhet, Leonid 5 2007 Mean square summability of solution of stochastic difference second-kind Volterra equation with small nonlinearity. Zbl 1149.39006Paternoster, Beatrice; Shaikhet, Leonid 1 2007 Reliability of difference analogues to preserve stability properties of stochastic Volterra integro-differential equations. Zbl 1133.65003Shaikhet, Leonid E.; Roberts, Jason A. 11 2006 A new view on one problem of asymptotic behavior of solutions of delay difference equations. Zbl 1121.39005Shaikhet, L. 1 2006 General method of Lyapunov functionals construction in stability investigations of nonlinear stochastic difference equations with continuous time. Zbl 1083.39010Shaikhet, Leonid 3 2005 About Lyapunov functionals construction for difference equations with continuous time. Zbl 1068.39023Shaikhet, L. 22 2004 Construction of Lyapunov functionals for stochastic difference equations with continuous time. Zbl 1066.93062Shaikhet, Leonid E. 11 2004 Lyapunov functionals construction for stochastic difference second-kind Volterra equations with continuous time. Zbl 1080.39017Shaikhet, Leonid 10 2004 Application of the general method of Lyapunov functionals construction for difference Volterra equations. Zbl 1069.39011Paternoster, B.; Shaikhet, L. 2 2004 Some conditions for boundedness of solutions of difference Volterra equations. Zbl 1107.39301Kolmanovskii, V.; Shaikhet, L. 17 2003 About one application of the general method of Lyapunov functionals construction. Zbl 1075.93017Kolmanovskii, V.; Shaikhet, L. 13 2003 Construction of Lyapunov functionals for stochastic hereditary systems: A survey of some recent results. Zbl 1029.93057Kolmanovskii, V.; Shaikhet, L. 42 2002 Some peculiarities of the general method of Lyapunov functionals construction. Zbl 1015.39001Kolmanovskii, V.; Shaikhet, L. 25 2002 Numerical simulation and stability of stochastic systems with Markovian switching. Zbl 1024.65007Shaikhet, Leonid 5 2002 About stability of nonlinear stochastic difference equations. Zbl 0959.60056Paternoster, B.; Shaikhet, L. 15 2000 Stabilization of inverted pendulum by control with delay. Zbl 1045.70015Borne, P.; Kolmanovskij, V.; Shaikhet, L. 11 2000 Steady-state solutions of nonlinear model of inverted pendulum. Zbl 0993.60051Borne, Pierre; Kolmanovskij, Vladimir B.; Shaikhet, Leonid E. 2 1999 A method for constructing Lyapunov functionals. Zbl 0983.93062Kolmanovskij, V. B.; Kosareva, N. P.; Shajkhet, L. E. 1 1999 Stability of epidemic model with time delays influenced by stochastic perturbations. Zbl 1017.92504Beretta, Edoardo; Kolmanovskii, Vladimir; Shaikhet, Leonid 142 1998 Riccati equations in the stability of retarded stochastic linear systems. Zbl 1123.34323Kovalev, A. A.; Kolmanovskii, V. B.; Shaikhet, L. E. 13 1998 Optimal control of Volterra type stochastic difference equations. Zbl 0987.93078Kuchkina, N.; Shaikhet, L. 5 1998 Stability of systems of stochastic linear difference equations with varying delays. Zbl 0938.93059Shaikhet, Leonid E. 2 1998 Necessary and sufficient conditions of asymptotic mean square stability for stochastic linear difference equations. Zbl 0883.39005Shaikhet, L. 30 1997 Matrix Riccati equations and stability of stochastic linear systems with nonincreasing delays. Zbl 1148.93346Kolmanovskii, V. B.; Shaikhet, L. E. 14 1997 Optimal control problem for nonlinear stochastic difference second kind Volterra equations. Zbl 0898.93036Kuchkina, N.; Shaikhet, L. 6 1997 Linear square optimal control problem for stochastic difference equations with unknown parameters. Zbl 0881.93090Agarwal, R. P.; Shaikhet, L. E. 2 1997 Problems of the stability for stochastic difference equations. Zbl 0930.39014Shaikhet, Leonid E. 1 1997 Stability of some stochastic Volterra type equations. Zbl 0987.93076Kolmanovskij, V. B.; Shaikhet, L. E. 1 1997 Stability of stochastic hereditary systems with Markov switching. Zbl 0939.60049Shaikhet, Leonid E. 53 1996 Modern state and development perspectives of Lyapunov functionals method in the stability theory of stochastic hereditary systems. Zbl 0893.60029Shaikhet, Leonid E. 11 1996 Control of systems with aftereffect. Transl. from the Russian by Victor Kotov. Zbl 0937.93001Kolmanovskij, V. B.; Shajkhet, L. E. 3 1996 Stability of the stochastic difference Volterra equations. Zbl 0939.60071Kuchkina, Natalia V.; Shaikhet, Leonid E. 1 1996 General method of Lyapunov functionals construction for stability investigation of stochastic difference equations. Zbl 0846.93083Kolmanovskij, Vladimir; Shaikhet, Leonid 32 1995 Stability in probability of nonlinear stochastic hereditary systems. Zbl 0831.60075Shaikhet, L. 18 1995 Stability in probability of nonlinear stochastic systems with delay. Zbl 0843.93086Shaikhet, L. E. 13 1995 Method for constructing Lyapunov functionals for stochastic differential equations of the neutral type. Zbl 0869.93052Kolmanovskij, V. B.; Shaikhet, L. E. 7 1995 New results in stability theory for stochastic functional differential equations (SEDEs) and their applications. Zbl 0811.34062Kolmanovskij, V.; Shaikhet, L. 15 1994 On a method to construct Lyapunov functionals for stochastic systems with aftereffect. Zbl 0815.34068Kolmanovskij, V. B.; Shajkhet, L. E. 6 1993 Filtering of Gaussian stochastic processes by observations with delays. Zbl 0777.93087Kolmanovskij, Vladimir B.; Shaikhet, Leonid E. 3 1992 Optimal control of certain hyperbolic and integral stochastic equations. Zbl 0719.49019Shaĭkhet, L. E. 1 1991 State estimation of hereditary stochastic systems. Zbl 0691.93053Kolmanovskij, V. B.; Shaikhet, L. E. 2 1989 On an optimal control problem of partly observable stochastic Volterra’s process. Zbl 0652.93064Shajkhet, L. E. 3 1987 Optimal control of some hyperbolic and integral stochastic equations. Zbl 0695.49024Shaĭkhet, L. E. 3 1987 Optimal control of stochastic integral equations. Zbl 0597.93069Shaikhet, L. E. 3 1986 On optimal control of Volterra’s equations. Zbl 0566.93071Shaikhet, L. E. 11 1984 On optimal control of a class of stochastic partial differential equations. Zbl 0504.93071Shajkhet, L. E. 3 1982 On the approximate synthesis of the optimal control of stochastic quasilinear systems with aftereffect. Zbl 0425.93055Kolmanovskij, V. B.; Shaikhet, L. E. 1 1980 A stability with respect to probability for the stochastic systems with an after-effect. Zbl 0421.93076Shaikhet, L. E. 1 1976 all cited Publications top 5 cited Publications all top 5 Cited by 737 Authors 63 Shaikhet, Leonid Efimovich 33 Mao, Xuerong 16 Jiang, Daqing 13 Fridman, Emilia 12 Cortés López, Juan Carlos 11 Kolmanovskii, Vladimir Borisovich 10 Braverman, Elena 10 Caraballo Garrido, Tomás 9 Agarwal, Ravi P. 9 Berezansky, Leonid M. 9 de la Sen, Manuel 8 Ji, Chunyan 8 Lahrouz, Aadil 8 Pham Huu Anh Ngoc 8 Rodkina, Alexandra 8 Yuan, Chenggui 7 Liu, Wei 6 Chatzarakis, George E. 6 Krstić, Marija 6 Li, Ronghua 6 Melchor-Aguilar, Daniel 6 Migda, Małgorzata 6 Settati, Adel 6 Teng, Zhi-dong 5 Abbas, Syed 5 Alonso Quesada, Santiago 5 Banerjee, Malay 5 Hu, Liangjian 5 Li, Xiaoyue 5 Lu, Jianqiu 5 Mao, Wei 5 O’Regan, Donal 5 Shi, Ningzhong 5 Zhang, Jin 4 Bunimovich-Mendrazitsky, Svetlana 4 Chattopadhyay, Joydev 4 Chen, Wei 4 Deng, Feiqi 4 Diblík, Josef 4 Huo, Hai-Feng 4 Ibeas, Asier 4 Jovanović, Miljana 4 Kadiev, Ramazan Ismailovich 4 Mustafa, Muhammad Islam 4 Navarro Quiles, Ana 4 Nistal, Raul 4 Omari, Lahcen 4 Paternoster, Beatrice 4 Ponosov, Arkadiĭ Vladimirovich 4 Romero, José Vicente 4 Roselló, María Dolores 4 Schurz, Henri 4 Šmarda, Zdeněk 4 Villanueva, Rafael-Jacinto 4 Wang, Weiming 4 Wang, Wentao 4 Wang, Zhigang 4 Wu, Fuke 4 Xiang, Hong 4 Xu, Shengyuan 4 You, Surong 4 Zhang, Xiaobing 3 Ademola, Adeleke Timothy 3 Attia, Emad R. 3 Bashkov, A. B. 3 Buckwar, Evelyn 3 Damak, Sérine 3 Di Loreto, Michael 3 Ding, Xiaohua 3 Domoshnitsky, Alexander I. 3 Feng, Lichao 3 Gan, Siqing 3 Gyori, Istvan 3 Hieu, Le Trung 3 Hu, Junhao 3 Huang, Chengming 3 Lazebnik, Teddy 3 Li, Yuyuan 3 Liu, Linfang 3 Liu, Mingzhu 3 Liu, Zhenhai 3 Luo, Qi 3 Ma, Qian 3 Mandal, Partha Sarathi 3 Miao, Anqi 3 Migda, Janusz 3 Mukherjee, Debasis 3 Pal, Samaresh 3 Park, Juhyun (Jessie) 3 Pitchaimani, M. 3 Svoboda, Zdeněk 3 Thuan, Do Duc 3 Vujović, Vuk 3 Wanduku, Divine 3 Wang, Lei 3 Wu, Kaining 3 Yin, George Gang 3 Yu, Jiajia 3 Zhang, Tongqian 3 Zhang, Zaiyun ...and 637 more Authors all top 5 Cited in 133 Serials 34 Automatica 29 Applied Mathematics and Computation 27 Advances in Difference Equations 20 Systems & Control Letters 18 Applied Mathematics Letters 17 Discrete Dynamics in Nature and Society 15 Stochastic Analysis and Applications 15 Abstract and Applied Analysis 14 Journal of the Franklin Institute 14 Journal of Computational and Applied Mathematics 13 Journal of Mathematical Analysis and Applications 12 International Journal of Control 11 Physica A 11 Mathematics and Computers in Simulation 11 Discrete and Continuous Dynamical Systems. Series B 10 Journal of Difference Equations and Applications 10 Communications in Nonlinear Science and Numerical Simulation 10 International Journal of Biomathematics 9 Computers & Mathematics with Applications 7 Applied Mathematical Modelling 6 Mathematical Methods in the Applied Sciences 6 Mathematical Problems in Engineering 6 Journal of Applied Mathematics and Computing 6 Mathematical Biosciences and Engineering 5 Applicable Analysis 5 Journal of Applied Mathematics and Mechanics 5 Chaos, Solitons and Fractals 5 Mathematical and Computer Modelling 5 Filomat 5 Journal of Inequalities and Applications 5 Journal of Biological Systems 5 Nonlinear Analysis. Hybrid Systems 5 International Journal of Systems Science. Principles and Applications of Systems and Integration 4 Mathematical Biosciences 4 SIAM Journal on Control and Optimization 4 Statistics & Probability Letters 4 Applied Numerical Mathematics 4 Journal of Dynamics and Differential Equations 4 International Journal of Robust and Nonlinear Control 4 Opuscula Mathematica 4 Differentsial’nye Uravneniya i Protsessy Upravleniya 4 Computational & Mathematical Methods in Medicine 3 Journal of Mathematical Biology 3 Journal of Mathematical Physics 3 Journal of Differential Equations 3 Automation and Remote Control 3 International Journal of Computer Mathematics 3 Differential Equations and Dynamical Systems 3 Stochastics and Dynamics 3 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Soviet Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Stochastic Processes and their Applications 2 Random Operators and Stochastic Equations 2 Vietnam Journal of Mathematics 2 Chaos 2 Communications on Pure and Applied Analysis 2 Mediterranean Journal of Mathematics 2 Journal of Mathematical Inequalities 2 ISRN Applied Mathematics 2 Journal of Applied Analysis and Computation 2 Evolution Equations and Control Theory 1 Advances in Applied Probability 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Computational Physics 1 Mathematical Notes 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica Vietnamica 1 BIT 1 Czechoslovak Mathematical Journal 1 Fuzzy Sets and Systems 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Semigroup Forum 1 Tamkang Journal of Mathematics 1 Theoretical Population Biology 1 Cybernetics 1 Circuits, Systems, and Signal Processing 1 Acta Applicandae Mathematicae 1 Journal of the Nigerian Mathematical Society 1 Neural Networks 1 Journal of Applied Mathematics and Stochastic Analysis 1 Numerical Algorithms 1 European Journal of Operational Research 1 Cybernetics and Systems Analysis 1 Continuum Mechanics and Thermodynamics 1 Potential Analysis 1 Tatra Mountains Mathematical Publications 1 Applicationes Mathematicae 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Discrete and Continuous Dynamical Systems 1 European Journal of Control 1 Functional Differential Equations 1 Nonlinear Dynamics 1 Taiwanese Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Methodology and Computing in Applied Probability ...and 33 more Serials all top 5 Cited in 22 Fields 216 Probability theory and stochastic processes (60-XX) 208 Ordinary differential equations (34-XX) 196 Systems theory; control (93-XX) 164 Biology and other natural sciences (92-XX) 83 Difference and functional equations (39-XX) 64 Numerical analysis (65-XX) 45 Partial differential equations (35-XX) 40 Dynamical systems and ergodic theory (37-XX) 24 Integral equations (45-XX) 13 Mechanics of deformable solids (74-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Operator theory (47-XX) 6 Computer science (68-XX) 6 Fluid mechanics (76-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Real functions (26-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Abstract harmonic analysis (43-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.