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: 138 Publications since 1974, including 5 Books Reviewing Activity: 1 Review Co-Authors: 27 Co-Authors with 66 Joint Publications 1,692 Co-Co-Authors all top 5 Co-Authors 72 single-authored 28 Kolmanovskii, Vladimir Borisovich 4 Dvornikov, V. I. 4 Korobeinikov, Andrei 4 Paternoster, Beatrice 3 Caraballo Garrido, Tomás 3 Fridman, Emilia 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 13 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 Systems & Control Letters 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 2 Modern Stochastics. Theory and Applications 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 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 Medicine and Biology 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 all top 5 Fields 73 Systems theory; control (93-XX) 47 Probability theory and stochastic processes (60-XX) 46 Ordinary differential equations (34-XX) 27 Difference and functional equations (39-XX) 18 Biology and other natural sciences (92-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 9 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 103 Publications have been cited 1,229 times in 661 Documents Cited by ▼ Year ▼ Stability of epidemic model with time delays influenced by stochastic perturbations. Zbl 1017.92504 Beretta, Edoardo; Kolmanovskii, Vladimir; Shaikhet, Leonid 155 1998 Lyapunov functionals and stability of stochastic functional differential equations. Zbl 1277.34003 Shaikhet, Leonid 108 2013 Stability of stochastic hereditary systems with Markov switching. Zbl 0939.60049 Shaikhet, Leonid E. 59 1996 Lyapunov functionals and stability of stochastic difference equations. Zbl 1255.93001 Shaikhet, Leonid 54 2011 Control of systems with aftereffect. Transl. from the Russian by Victor Kotov. Zbl 0937.93001 Kolmanovskij, V. B.; Shajkhet, L. E. 45 1996 Construction of Lyapunov functionals for stochastic hereditary systems: A survey of some recent results. Zbl 1029.93057 Kolmanovskii, V.; Shaikhet, L. 44 2002 Method of Lyapunov functionals construction in stability of delay evolution equations. Zbl 1178.34087 Caraballo, T.; Real, J.; Shaikhet, L. 40 2007 General method of Lyapunov functionals construction for stability investigation of stochastic difference equations. Zbl 0846.93083 Kolmanovskij, Vladimir; Shaikhet, Leonid 36 1995 Necessary and sufficient conditions of asymptotic mean square stability for stochastic linear difference equations. Zbl 0883.39005 Shaikhet, L. 32 1997 Delay-induced stability of vector second-order systems via simple Lyapunov functionals. Zbl 1348.93218 Fridman, Emilia; Shaikhet, Leonid 30 2016 Some peculiarities of the general method of Lyapunov functionals construction. Zbl 1015.39001 Kolmanovskii, V.; Shaikhet, L. 26 2002 Stabilization by using artificial delays: an LMI approach. Zbl 1417.93252 Fridman, Emilia; Shaikhet, Leonid 24 2017 About Lyapunov functionals construction for difference equations with continuous time. Zbl 1068.39023 Shaikhet, L. 22 2004 Stability in probability of nonlinear stochastic hereditary systems. Zbl 0831.60075 Shaikhet, L. 20 1995 Stability of the positive point of equilibrium of Nicholson’s blowflies equation with stochastic perturbations: numerical analysis. Zbl 1179.60039 Bradul, Nataliya; Shaikhet, Leonid 20 2007 Some new aspects of Lyapunov-type theorems for stochastic differential equations of neutral type. Zbl 1235.34212 Shaikhet, L. 19 2010 Some conditions for boundedness of solutions of difference Volterra equations. Zbl 1107.39301 Kolmanovskii, V.; Shaikhet, L. 18 2003 Stability of a positive point of equilibrium of one nonlinear system with aftereffect and stochastic perturbations. Zbl 1155.34352 Shaikhet, Leonid 18 2008 New results in stability theory for stochastic functional differential equations (SEDEs) and their applications. Zbl 0811.34062 Kolmanovskij, V.; Shaikhet, L. 18 1994 About stability of nonlinear stochastic difference equations. Zbl 0959.60056 Paternoster, B.; Shaikhet, L. 17 2000 Simple LMIs for stability of stochastic systems with delay term given by Stieltjes integral or with stabilizing delay. Zbl 1408.93136 Fridman, Emilia; Shaikhet, Leonid 17 2019 Stability in probability of nonlinear stochastic systems with delay. Zbl 0843.93086 Shaikhet, L. E. 15 1995 Matrix Riccati equations and stability of stochastic linear systems with nonincreasing delays. Zbl 1148.93346 Kolmanovskii, V. B.; Shaikhet, L. E. 14 1997 Riccati equations in the stability of retarded stochastic linear systems. Zbl 1123.34323 Kovalev, A. A.; Kolmanovskii, V. B.; Shaikhet, L. E. 13 1998 About one application of the general method of Lyapunov functionals construction. Zbl 1075.93017 Kolmanovskii, V.; Shaikhet, L. 13 2003 Probabilistic stability analysis of social obesity epidemic by a delayed stochastic model. Zbl 1292.93141 Santonja, F. J.; Shaikhet, L. 13 2014 Stabilization of inverted pendulum by control with delay. Zbl 1045.70015 Borne, P.; Kolmanovskij, V.; Shaikhet, L. 12 2000 Reliability of difference analogues to preserve stability properties of stochastic Volterra integro-differential equations. Zbl 1133.65003 Shaikhet, Leonid E.; Roberts, Jason A. 12 2006 Stability of a stochastic model for HIV-1 dynamics within a host. Zbl 1351.92050 Shaikhet, Leonid; Korobeinikov, Andrei 12 2016 Lyapunov functionals construction for stochastic difference second-kind Volterra equations with continuous time. Zbl 1080.39017 Shaikhet, Leonid 12 2004 Oscillation criteria for difference equations with non-monotone arguments. Zbl 1422.39037 Chatzarakis, George E.; Shaikhet, Leonid 12 2017 On a method to construct Lyapunov functionals for stochastic systems with aftereffect. Zbl 0815.34068 Kolmanovskij, V. B.; Shajkhet, L. E. 11 1993 Modern state and development perspectives of Lyapunov functionals method in the stability theory of stochastic hereditary systems. Zbl 0893.60029 Shaikhet, Leonid E. 11 1996 Construction of Lyapunov functionals for stochastic difference equations with continuous time. Zbl 1066.93062 Shaikhet, Leonid E. 11 2004 On optimal control of Volterra’s equations. Zbl 0566.93071 Shaikhet, L. E. 11 1984 A nonlinear dynamic age-structured model of e-commerce in Spain: stability analysis of the equilibrium by delay and stochastic perturbations. Zbl 1508.91385 Burgos, C.; Cortés, J.-C.; Shaikhet, Leonid; Villanueva, R.-J. 11 2018 Control of hereditary systems. (Upravlenie sistemami s posledejstviem.) Zbl 0840.93003 Andreeva, E. A.; Kolmanovskij, V. B.; Shajkhet, L. E. 10 1992 Almost sure stability of some stochastic dynamical systems with memory. Zbl 1148.39011 Rodkina, Alexandra; Schurz, Henri; Shaikhet, Leonid 9 2008 Stability of equilibrium states for a stochastically perturbed exponential type system of difference equations. Zbl 1321.39022 Shaikhet, Leonid 9 2015 Stability of equilibriums of stochastically perturbed delay differential neoclassical growth model. Zbl 1365.34142 Shaikhet, Leonid 9 2017 Stability of the zero and positive equilibria of two connected neoclassical growth models under stochastic perturbations. Zbl 1508.91349 Shaikhet, Leonid 9 2019 Method for constructing Lyapunov functionals for stochastic differential equations of the neutral type. Zbl 0869.93052 Kolmanovskij, V. B.; Shaikhet, L. E. 8 1995 Analysing social epidemics by delayed stochastic models. Zbl 1248.91088 Santonja, Francisco-José; Shaikhet, Leonid 8 2012 Stability of delay evolution equations with stochastic perturbations. Zbl 1316.60104 Caraballo, Tomás; Shaikhet, Leonid 7 2014 About an unsolved stability problem for a stochastic difference equation with continuous time. Zbl 1214.39008 Shaikhet, Leonid 7 2011 About stability of delay differential equations with square integrable level of stochastic perturbations. Zbl 1426.60082 Shaikhet, Leonid 7 2019 Optimal control problem for nonlinear stochastic difference second kind Volterra equations. Zbl 0898.93036 Kuchkina, N.; Shaikhet, L. 6 1997 Stability of equilibrium states of a nonlinear delay differential equation with stochastic perturbations. Zbl 1369.93702 Shaikhet, Leonid 6 2017 Stability in probability of nonlinear stochastic Volterra difference equations with continuous variable. Zbl 1139.39018 Luo, Jiaowan; Shaikhet, Leonid 6 2007 About stability of difference equations with continuous time and fading stochastic perturbations. Zbl 1420.39013 Shaikhet, Leonid 6 2019 Numerical simulation and stability of stochastic systems with Markovian switching. Zbl 1024.65007 Shaikhet, Leonid 5 2002 Optimal control of Volterra type stochastic difference equations. Zbl 0987.93078 Kuchkina, N.; Shaikhet, L. 5 1998 Stability analysis of delayed immune response BCG infection in bladder cancer treatment model by stochastic perturbations. Zbl 1431.92068 Shaikhet, Leonid; Bunimovich-Mendrazitsky, Svetlana 5 2018 Stability of equilibrium points of fractional difference equations with stochastic perturbations. Zbl 1149.39007 Paternoster, Beatrice; Shaikhet, Leonid 4 2008 About stability of difference equations with square summable level of stochastic perturbations. Zbl 1434.39013 Shaikhet, Leonid 4 2020 Improved condition for stabilization of controlled inverted pendulum under stochastic perturbations. Zbl 1178.34093 Shaikhet, Leonid 4 2009 Application of the general method of Lyapunov functionals construction for difference Volterra equations. Zbl 1069.39011 Paternoster, B.; Shaikhet, L. 3 2004 A method for constructing Lyapunov functionals. Zbl 0983.93062 Kolmanovskij, V. B.; Kosareva, N. P.; Shajkhet, L. E. 3 1999 On optimal control of a class of stochastic partial differential equations. Zbl 0504.93071 Shajkhet, L. E. 3 1982 Filtering of Gaussian stochastic processes by observations with delays. Zbl 0777.93087 Kolmanovskij, Vladimir B.; Shaikhet, Leonid E. 3 1992 On an optimal control problem of partly observable stochastic Volterra’s process. Zbl 0652.93064 Shajkhet, L. E. 3 1987 Stability of a positive equilibrium state for a stochastically perturbed mathematical model of glassy-winged sharpshooter population. Zbl 1327.92049 Shaikhet, Leonid 3 2014 Global asymptotic properties of a stochastic model of population growth. Zbl 1472.92182 Korobeinikov, Andrei; Shaikhet, Leonid 3 2021 General method of Lyapunov functionals construction in stability investigations of nonlinear stochastic difference equations with continuous time. Zbl 1083.39010 Shaikhet, Leonid 3 2005 Optimal control of some hyperbolic and integral stochastic equations. Zbl 0695.49024 Shaĭkhet, L. E. 3 1987 Optimal control of stochastic integral equations. Zbl 0597.93069 Shaikhet, L. E. 3 1986 Stability of systems of stochastic linear difference equations with varying delays. Zbl 0938.93059 Shaikhet, Leonid E. 3 1998 Stability of equilibrium states for a stochastically perturbed mosquito population equation. Zbl 1292.93142 Shaikhet, Leonid 3 2014 Behavior of solution of stochastic delay differential equation with additive fading perturbations. Zbl 1453.34104 Shaikhet, Leonid 3 2021 Stability of the neoclassical growth model under perturbations of the type of Poisson’s jumps: analytical and numerical analysis. Zbl 1464.91060 Shaikhet, Leonid 3 2019 Asymptotic stability analysis of a stochastic Volterra integro-differential equation with fading memory. Zbl 1263.93196 Shaikhet, L. E.; Roberts, J. A. 3 2011 Linear square optimal control problem for stochastic difference equations with unknown parameters. Zbl 0881.93090 Agarwal, R. P.; Shaikhet, L. E. 2 1997 Steady-state solutions of nonlinear model of inverted pendulum. Zbl 0993.60051 Borne, Pierre; Kolmanovskij, Vladimir B.; Shaikhet, Leonid E. 2 1999 State estimation of hereditary stochastic systems. Zbl 0691.93053 Kolmanovskij, V. B.; Shaikhet, L. E. 2 1989 Optimal control of stochastic difference Volterra equations. An introduction. Zbl 1309.49001 Shaikhet, Leonid 2 2015 On the approximate synthesis of the optimal control of stochastic quasilinear systems with aftereffect. Zbl 0425.93055 Kolmanovskij, V. B.; Shaikhet, L. E. 2 1980 Mean square summability of solution of stochastic difference second-kind Volterra equation with small nonlinearity. Zbl 1149.39006 Paternoster, Beatrice; Shaikhet, Leonid 2 2007 Stability of some stochastic Volterra type equations. Zbl 0987.93076 Kolmanovskij, V. B.; Shaikhet, L. E. 2 1997 Novel stability conditions for some generalization of Nicholson’s blowflies model with stochastic perturbations. Zbl 1527.37055 Shaikhet, Leonid; Abbas, Syed 2 2022 About one method of stability investigation for nonlinear stochastic delay differential equations. Zbl 1526.93270 Shaikhet, Leonid 2 2021 Stability of delay differential equations with fading stochastic perturbations of the type of white noise and Poisson’s jumps. Zbl 1458.34139 Shaikhet, Leonid 2 2020 Stability of delay evolution equations with fading stochastic perturbations. Zbl 1490.60191 Shaikhet, Leonid; Caraballo, Tomás 2 2022 Behavior of solution of stochastic difference equation with continuous time under additive fading noise. Zbl 1484.39020 Shaikhet, Leonid 2 2022 About some asymptotic properties of solution of stochastic delay differential equation with a logarithmic nonlinearity. Zbl 1474.34566 Shaikhet, Leonid Efimovich 2 2017 Problems of the stability for stochastic difference equations. Zbl 0930.39014 Shaikhet, Leonid E. 1 1997 Stability of stochastic systems with consequence. Zbl 0809.93064 Kolmanovskij, V. B.; Shajkhet, L. E. 1 1993 Asymptotic behavior of certain discrete-time systems. Zbl 0932.93075 Kolmanovskij, V. B.; Shajkhet, L. E. 1 1996 Some problems of optimal control and estimation for stochastic hereditary systems. Zbl 0842.93083 Kolmanovskij, V.; Shaikhet, L. 1 1996 A new view on one problem of asymptotic behavior of solutions of delay difference equations. Zbl 1121.39005 Shaikhet, L. 1 2006 A stability with respect to probability for the stochastic systems with an after-effect. Zbl 0421.93076 Shaikhet, L. E. 1 1976 On equations determining the moments of solutions of linear stochastic equations with delay. Zbl 0436.60046 Shaĭkhet, L. E. 1 1978 Optimal control of certain hyperbolic and integral stochastic equations. Zbl 0719.49019 Shaĭkhet, L. E. 1 1991 Asymptotic stability of linear stochastic differential equations of neutral type. Zbl 0776.93091 Shajkhet, L. E. 1 1992 Stability of difference analogue of linear mathematical inverted pendulum. Zbl 1135.39006 Shaikhet, L. 1 2005 Stability of the stochastic difference Volterra equations. Zbl 0939.60071 Kuchkina, Natalia V.; Shaikhet, Leonid E. 1 1996 On the optimal control of integral-functional equations. Zbl 0615.93073 Shajkhet, L. E. 1 1985 Two unsolved problems in the stability theory of stochastic differential equations with delay. Zbl 1247.60086 Shaikhet, Leonid 1 2012 About behavior of solution of difference equation with a logarithmic nonlinearity under stochastic perturbations. Zbl 1391.39027 Shaikhet, Leonid 1 2018 Stability study of stochastic systems with delay by Ljapunov’s functional method. Zbl 0355.93037 Shajkhet, L. E. 1 1975 Stability of a stochastically perturbed model of intracellular single-stranded RNA virus replication. Zbl 1418.92081 Shaikhet, Leonid; Elena, Santiago F.; Korobeinikov, Andrei 1 2019 Novel stability conditions for some generalization of Nicholson’s blowflies model with stochastic perturbations. Zbl 1527.37055 Shaikhet, Leonid; Abbas, Syed 2 2022 Stability of delay evolution equations with fading stochastic perturbations. Zbl 1490.60191 Shaikhet, Leonid; Caraballo, Tomás 2 2022 Behavior of solution of stochastic difference equation with continuous time under additive fading noise. Zbl 1484.39020 Shaikhet, Leonid 2 2022 Stability of three species symbiosis model with delay and stochastic perturbations. Zbl 1496.92079 Abbas, Syed; Shaikhet, Leonid 1 2022 Global asymptotic properties of a stochastic model of population growth. Zbl 1472.92182 Korobeinikov, Andrei; Shaikhet, Leonid 3 2021 Behavior of solution of stochastic delay differential equation with additive fading perturbations. Zbl 1453.34104 Shaikhet, Leonid 3 2021 About one method of stability investigation for nonlinear stochastic delay differential equations. Zbl 1526.93270 Shaikhet, Leonid 2 2021 A delayed nonlinear stochastic model for cocaine consumption: stability analysis and simulation using real data. Zbl 1478.92181 Burgos, C.; Cortés, J.-C.; Shaikhet, L.; Villanueva, R.-J. 1 2021 About stability of difference equations with square summable level of stochastic perturbations. Zbl 1434.39013 Shaikhet, Leonid 4 2020 Stability of delay differential equations with fading stochastic perturbations of the type of white noise and Poisson’s jumps. Zbl 1458.34139 Shaikhet, Leonid 2 2020 Simple LMIs for stability of stochastic systems with delay term given by Stieltjes integral or with stabilizing delay. Zbl 1408.93136 Fridman, Emilia; Shaikhet, Leonid 17 2019 Stability of the zero and positive equilibria of two connected neoclassical growth models under stochastic perturbations. Zbl 1508.91349 Shaikhet, Leonid 9 2019 About stability of delay differential equations with square integrable level of stochastic perturbations. Zbl 1426.60082 Shaikhet, Leonid 7 2019 About stability of difference equations with continuous time and fading stochastic perturbations. Zbl 1420.39013 Shaikhet, Leonid 6 2019 Stability of the neoclassical growth model under perturbations of the type of Poisson’s jumps: analytical and numerical analysis. Zbl 1464.91060 Shaikhet, Leonid 3 2019 Stability of a stochastically perturbed model of intracellular single-stranded RNA virus replication. Zbl 1418.92081 Shaikhet, Leonid; Elena, Santiago F.; Korobeinikov, Andrei 1 2019 A nonlinear dynamic age-structured model of e-commerce in Spain: stability analysis of the equilibrium by delay and stochastic perturbations. Zbl 1508.91385 Burgos, C.; Cortés, J.-C.; Shaikhet, Leonid; Villanueva, R.-J. 11 2018 Stability analysis of delayed immune response BCG infection in bladder cancer treatment model by stochastic perturbations. Zbl 1431.92068 Shaikhet, Leonid; Bunimovich-Mendrazitsky, Svetlana 5 2018 About behavior of solution of difference equation with a logarithmic nonlinearity under stochastic perturbations. Zbl 1391.39027 Shaikhet, Leonid 1 2018 Multi-condition of stability for nonlinear stochastic non-autonomous delay differential equation. Zbl 1456.34078 Shaikhet, Leonid 1 2018 Stabilization by using artificial delays: an LMI approach. Zbl 1417.93252 Fridman, Emilia; Shaikhet, Leonid 24 2017 Oscillation criteria for difference equations with non-monotone arguments. Zbl 1422.39037 Chatzarakis, George E.; Shaikhet, Leonid 12 2017 Stability of equilibriums of stochastically perturbed delay differential neoclassical growth model. Zbl 1365.34142 Shaikhet, Leonid 9 2017 Stability of equilibrium states of a nonlinear delay differential equation with stochastic perturbations. Zbl 1369.93702 Shaikhet, Leonid 6 2017 About some asymptotic properties of solution of stochastic delay differential equation with a logarithmic nonlinearity. Zbl 1474.34566 Shaikhet, Leonid Efimovich 2 2017 Delay-induced stability of vector second-order systems via simple Lyapunov functionals. Zbl 1348.93218 Fridman, Emilia; Shaikhet, Leonid 30 2016 Stability of a stochastic model for HIV-1 dynamics within a host. Zbl 1351.92050 Shaikhet, Leonid; Korobeinikov, Andrei 12 2016 Stability of equilibrium states for a stochastically perturbed exponential type system of difference equations. Zbl 1321.39022 Shaikhet, Leonid 9 2015 Optimal control of stochastic difference Volterra equations. An introduction. Zbl 1309.49001 Shaikhet, Leonid 2 2015 Probabilistic stability analysis of social obesity epidemic by a delayed stochastic model. Zbl 1292.93141 Santonja, F. J.; Shaikhet, L. 13 2014 Stability of delay evolution equations with stochastic perturbations. Zbl 1316.60104 Caraballo, Tomás; Shaikhet, Leonid 7 2014 Stability of a positive equilibrium state for a stochastically perturbed mathematical model of glassy-winged sharpshooter population. Zbl 1327.92049 Shaikhet, Leonid 3 2014 Stability of equilibrium states for a stochastically perturbed mosquito population equation. Zbl 1292.93142 Shaikhet, Leonid 3 2014 Lyapunov functionals and stability of stochastic functional differential equations. Zbl 1277.34003 Shaikhet, Leonid 108 2013 Analysing social epidemics by delayed stochastic models. Zbl 1248.91088 Santonja, Francisco-José; Shaikhet, Leonid 8 2012 Two unsolved problems in the stability theory of stochastic differential equations with delay. Zbl 1247.60086 Shaikhet, Leonid 1 2012 Lyapunov functionals and stability of stochastic difference equations. Zbl 1255.93001 Shaikhet, Leonid 54 2011 About an unsolved stability problem for a stochastic difference equation with continuous time. Zbl 1214.39008 Shaikhet, Leonid 7 2011 Asymptotic stability analysis of a stochastic Volterra integro-differential equation with fading memory. Zbl 1263.93196 Shaikhet, L. E.; Roberts, J. A. 3 2011 Some new aspects of Lyapunov-type theorems for stochastic differential equations of neutral type. Zbl 1235.34212 Shaikhet, L. 19 2010 Improved condition for stabilization of controlled inverted pendulum under stochastic perturbations. Zbl 1178.34093 Shaikhet, Leonid 4 2009 Stability of a positive point of equilibrium of one nonlinear system with aftereffect and stochastic perturbations. Zbl 1155.34352 Shaikhet, Leonid 18 2008 Almost sure stability of some stochastic dynamical systems with memory. Zbl 1148.39011 Rodkina, Alexandra; Schurz, Henri; Shaikhet, Leonid 9 2008 Stability of equilibrium points of fractional difference equations with stochastic perturbations. Zbl 1149.39007 Paternoster, Beatrice; Shaikhet, Leonid 4 2008 Method of Lyapunov functionals construction in stability of delay evolution equations. Zbl 1178.34087 Caraballo, T.; Real, J.; Shaikhet, L. 40 2007 Stability of the positive point of equilibrium of Nicholson’s blowflies equation with stochastic perturbations: numerical analysis. Zbl 1179.60039 Bradul, Nataliya; Shaikhet, Leonid 20 2007 Stability in probability of nonlinear stochastic Volterra difference equations with continuous variable. Zbl 1139.39018 Luo, Jiaowan; Shaikhet, Leonid 6 2007 Mean square summability of solution of stochastic difference second-kind Volterra equation with small nonlinearity. Zbl 1149.39006 Paternoster, Beatrice; Shaikhet, Leonid 2 2007 Reliability of difference analogues to preserve stability properties of stochastic Volterra integro-differential equations. Zbl 1133.65003 Shaikhet, Leonid E.; Roberts, Jason A. 12 2006 A new view on one problem of asymptotic behavior of solutions of delay difference equations. Zbl 1121.39005 Shaikhet, L. 1 2006 General method of Lyapunov functionals construction in stability investigations of nonlinear stochastic difference equations with continuous time. Zbl 1083.39010 Shaikhet, Leonid 3 2005 Stability of difference analogue of linear mathematical inverted pendulum. Zbl 1135.39006 Shaikhet, L. 1 2005 About Lyapunov functionals construction for difference equations with continuous time. Zbl 1068.39023 Shaikhet, L. 22 2004 Lyapunov functionals construction for stochastic difference second-kind Volterra equations with continuous time. Zbl 1080.39017 Shaikhet, Leonid 12 2004 Construction of Lyapunov functionals for stochastic difference equations with continuous time. Zbl 1066.93062 Shaikhet, Leonid E. 11 2004 Application of the general method of Lyapunov functionals construction for difference Volterra equations. Zbl 1069.39011 Paternoster, B.; Shaikhet, L. 3 2004 Some conditions for boundedness of solutions of difference Volterra equations. Zbl 1107.39301 Kolmanovskii, V.; Shaikhet, L. 18 2003 About one application of the general method of Lyapunov functionals construction. Zbl 1075.93017 Kolmanovskii, V.; Shaikhet, L. 13 2003 Construction of Lyapunov functionals for stochastic hereditary systems: A survey of some recent results. Zbl 1029.93057 Kolmanovskii, V.; Shaikhet, L. 44 2002 Some peculiarities of the general method of Lyapunov functionals construction. Zbl 1015.39001 Kolmanovskii, V.; Shaikhet, L. 26 2002 Numerical simulation and stability of stochastic systems with Markovian switching. Zbl 1024.65007 Shaikhet, Leonid 5 2002 About stability of nonlinear stochastic difference equations. Zbl 0959.60056 Paternoster, B.; Shaikhet, L. 17 2000 Stabilization of inverted pendulum by control with delay. Zbl 1045.70015 Borne, P.; Kolmanovskij, V.; Shaikhet, L. 12 2000 A method for constructing Lyapunov functionals. Zbl 0983.93062 Kolmanovskij, V. B.; Kosareva, N. P.; Shajkhet, L. E. 3 1999 Steady-state solutions of nonlinear model of inverted pendulum. Zbl 0993.60051 Borne, Pierre; Kolmanovskij, Vladimir B.; Shaikhet, Leonid E. 2 1999 Stability of epidemic model with time delays influenced by stochastic perturbations. Zbl 1017.92504 Beretta, Edoardo; Kolmanovskii, Vladimir; Shaikhet, Leonid 155 1998 Riccati equations in the stability of retarded stochastic linear systems. Zbl 1123.34323 Kovalev, A. A.; Kolmanovskii, V. B.; Shaikhet, L. E. 13 1998 Optimal control of Volterra type stochastic difference equations. Zbl 0987.93078 Kuchkina, N.; Shaikhet, L. 5 1998 Stability of systems of stochastic linear difference equations with varying delays. Zbl 0938.93059 Shaikhet, Leonid E. 3 1998 Necessary and sufficient conditions of asymptotic mean square stability for stochastic linear difference equations. Zbl 0883.39005 Shaikhet, L. 32 1997 Matrix Riccati equations and stability of stochastic linear systems with nonincreasing delays. Zbl 1148.93346 Kolmanovskii, V. B.; Shaikhet, L. E. 14 1997 Optimal control problem for nonlinear stochastic difference second kind Volterra equations. Zbl 0898.93036 Kuchkina, N.; Shaikhet, L. 6 1997 Linear square optimal control problem for stochastic difference equations with unknown parameters. Zbl 0881.93090 Agarwal, R. P.; Shaikhet, L. E. 2 1997 Stability of some stochastic Volterra type equations. Zbl 0987.93076 Kolmanovskij, V. B.; Shaikhet, L. E. 2 1997 Problems of the stability for stochastic difference equations. Zbl 0930.39014 Shaikhet, Leonid E. 1 1997 Stability of stochastic hereditary systems with Markov switching. Zbl 0939.60049 Shaikhet, Leonid E. 59 1996 Control of systems with aftereffect. Transl. from the Russian by Victor Kotov. Zbl 0937.93001 Kolmanovskij, V. B.; Shajkhet, L. E. 45 1996 Modern state and development perspectives of Lyapunov functionals method in the stability theory of stochastic hereditary systems. Zbl 0893.60029 Shaikhet, Leonid E. 11 1996 Asymptotic behavior of certain discrete-time systems. Zbl 0932.93075 Kolmanovskij, V. B.; Shajkhet, L. E. 1 1996 Some problems of optimal control and estimation for stochastic hereditary systems. Zbl 0842.93083 Kolmanovskij, V.; Shaikhet, L. 1 1996 Stability of the stochastic difference Volterra equations. Zbl 0939.60071 Kuchkina, Natalia V.; Shaikhet, Leonid E. 1 1996 General method of Lyapunov functionals construction for stability investigation of stochastic difference equations. Zbl 0846.93083 Kolmanovskij, Vladimir; Shaikhet, Leonid 36 1995 Stability in probability of nonlinear stochastic hereditary systems. Zbl 0831.60075 Shaikhet, L. 20 1995 Stability in probability of nonlinear stochastic systems with delay. Zbl 0843.93086 Shaikhet, L. E. 15 1995 Method for constructing Lyapunov functionals for stochastic differential equations of the neutral type. Zbl 0869.93052 Kolmanovskij, V. B.; Shaikhet, L. E. 8 1995 New results in stability theory for stochastic functional differential equations (SEDEs) and their applications. Zbl 0811.34062 Kolmanovskij, V.; Shaikhet, L. 18 1994 On a method to construct Lyapunov functionals for stochastic systems with aftereffect. Zbl 0815.34068 Kolmanovskij, V. B.; Shajkhet, L. E. 11 1993 Stability of stochastic systems with consequence. Zbl 0809.93064 Kolmanovskij, V. B.; Shajkhet, L. E. 1 1993 Control of hereditary systems. (Upravlenie sistemami s posledejstviem.) Zbl 0840.93003 Andreeva, E. A.; Kolmanovskij, V. B.; Shajkhet, L. E. 10 1992 Filtering of Gaussian stochastic processes by observations with delays. Zbl 0777.93087 Kolmanovskij, Vladimir B.; Shaikhet, Leonid E. 3 1992 Asymptotic stability of linear stochastic differential equations of neutral type. Zbl 0776.93091 Shajkhet, L. E. 1 1992 Optimal control of certain hyperbolic and integral stochastic equations. Zbl 0719.49019 Shaĭkhet, L. E. 1 1991 State estimation of hereditary stochastic systems. Zbl 0691.93053 Kolmanovskij, V. B.; Shaikhet, L. E. 2 1989 On an optimal control problem of partly observable stochastic Volterra’s process. Zbl 0652.93064 Shajkhet, L. E. 3 1987 Optimal control of some hyperbolic and integral stochastic equations. Zbl 0695.49024 Shaĭkhet, L. E. 3 1987 Optimal control of stochastic integral equations. Zbl 0597.93069 Shaikhet, L. E. 3 1986 On the optimal control of integral-functional equations. Zbl 0615.93073 Shajkhet, L. E. 1 1985 On optimal control of Volterra’s equations. Zbl 0566.93071 Shaikhet, L. E. 11 1984 On optimal control of a class of stochastic partial differential equations. Zbl 0504.93071 Shajkhet, L. E. 3 1982 On the approximate synthesis of the optimal control of stochastic quasilinear systems with aftereffect. Zbl 0425.93055 Kolmanovskij, V. B.; Shaikhet, L. E. 2 1980 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 894 Authors 67 Shaikhet, Leonid Efimovich 39 Mao, Xuerong 21 Fridman, Emilia 20 Jiang, Daqing 13 Caraballo Garrido, Tomás 13 Cortés López, Juan Carlos 12 Kolmanovskii, Vladimir Borisovich 10 Braverman, Elena 10 Ji, Chunyan 10 Rodkina, Alexandra 9 Agarwal, Ravi P. 9 Berezansky, Leonid M. 9 de la Sen, Manuel 9 Yuan, Chenggui 9 Zhang, Jin 8 Lahrouz, Aadil 8 Pham Huu Anh Ngoc 7 Hu, Liangjian 7 Krstić, Marija 7 Li, Xiaoyue 7 Liu, Wei 7 Migda, Małgorzata 6 Basin, Michael V. 6 Chatzarakis, George E. 6 Li, Ronghua 6 Lu, Jianqiu 6 Melchor-Aguilar, Daniel 6 Pal, Samaresh 6 Settati, Adel 6 Shi, Ningzhong 6 Teng, Zhi-dong 6 Yasynsky, V. K. 6 Yurchenko, I. V. 5 Abbas, Syed 5 Alonso Quesada, Santiago 5 Banerjee, Malay 5 Bunimovich-Mendrazitsky, Svetlana 5 Chatterjee, Anal 5 Mao, Wei 5 Navarro Quiles, Ana 5 O’Regan, Donal 5 Villanueva, Rafael-Jacinto 5 You, Surong 4 Ademola, Adeleke Timothy 4 Appleby, John A. D. 4 Cao, Jinde 4 Chattopadhyay, Joydev 4 Chen, Wei 4 Deng, Feiqi 4 Diblík, Josef 4 Feng, Lichao 4 Huo, Hai-Feng 4 Ibeas, Asier 4 Jovanović, Miljana 4 Kadiev, Ramazan Ismailovich 4 Kiouach, Driss 4 Lazebnik, Teddy 4 Li, Yuyuan 4 Liu, Mingzhu 4 Mastaliev, Rashad Ogtaĭ ogly 4 Migda, Janusz 4 Mukherjee, Debasis 4 Mustafa, Muhammad Islam 4 Nistal, Raul 4 Omari, Lahcen 4 Paternoster, Beatrice 4 Pepe, Pierdomenico 4 Ponosov, Arkadiĭ Vladimirovich 4 Romero, José Vicente 4 Roselló, María Dolores 4 Schurz, Henri 4 Šmarda, Zdeněk 4 Thuan, Do Duc 4 Wanduku, Divine 4 Wang, Weiming 4 Wang, Wentao 4 Wang, Zhigang 4 Wu, Fuke 4 Wu, Zhengguang 4 Xiang, Hong 4 Xu, Shengyuan 4 Zhang, Xiaobing 3 Adesina, Olufemi Adeyinka 3 Attia, Emad R. 3 Baker, Christopher Thomas Hale 3 Bashkov, A. B. 3 Buckwar, Evelyn 3 Chen, Huabin 3 Damak, Sérine 3 Di Loreto, Michael 3 Ding, Xiaohua 3 Domoshnitsky, Alexander I. 3 Efimov, Denis V. 3 Fei, Weiyin 3 Fridman, Leonid M. 3 Gan, Siqing 3 Gyori, Istvan 3 Hieu, Le Trung 3 Hu, Junhao 3 Huang, Chengming ...and 794 more Authors all top 5 Cited in 155 Serials 40 Automatica 31 Applied Mathematics and Computation 27 Advances in Difference Equations 25 Systems & Control Letters 20 Journal of the Franklin Institute 19 Applied Mathematics Letters 17 International Journal of Robust and Nonlinear Control 17 Discrete Dynamics in Nature and Society 16 Journal of Computational and Applied Mathematics 16 Abstract and Applied Analysis 15 Stochastic Analysis and Applications 14 Journal of Mathematical Analysis and Applications 14 Mathematical Methods in the Applied Sciences 14 Communications in Nonlinear Science and Numerical Simulation 12 International Journal of Control 12 Physica A 11 Mathematics and Computers in Simulation 11 Discrete and Continuous Dynamical Systems. Series B 10 Journal of Difference Equations and Applications 10 International Journal of Biomathematics 9 Computers & Mathematics with Applications 9 Applied Mathematical Modelling 9 Journal of Applied Mathematics and Computing 8 SIAM Journal on Control and Optimization 8 Cybernetics and Systems Analysis 7 Applicable Analysis 6 Mathematical Problems in Engineering 6 Mathematical Biosciences and Engineering 6 International Journal of Systems Science. Principles and Applications of Systems and Integration 5 Journal of Applied Mathematics and Mechanics 5 Chaos, Solitons and Fractals 5 Applied Numerical Mathematics 5 Mathematical and Computer Modelling 5 Journal of Dynamics and Differential Equations 5 Filomat 5 Journal of Inequalities and Applications 5 Journal of Biological Systems 5 Nonlinear Analysis. Hybrid Systems 4 Mathematical Biosciences 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Statistics & Probability Letters 4 Automation and Remote Control 4 Stochastic Processes and their Applications 4 Opuscula Mathematica 4 Differentsial’nye Uravneniya i Protsessy Upravleniya 4 Computational & Mathematical Methods in Medicine 4 Journal of Applied Analysis and Computation 3 Journal of Mathematical Biology 3 Journal of Mathematical Physics 3 Journal of Differential Equations 3 International Journal of Computer Mathematics 3 Differential Equations and Dynamical Systems 3 Qualitative Theory of Dynamical Systems 3 Stochastics and Dynamics 3 Mediterranean Journal of Mathematics 3 Discrete and Continuous Dynamical Systems. Series S 3 IET Control Theory & Applications 2 Bulletin of Mathematical Biology 2 Journal of Soviet Mathematics 2 Proceedings of the American Mathematical Society 2 MCSS. Mathematics of Control, Signals, and Systems 2 Computational and Applied Mathematics 2 Random Operators and Stochastic Equations 2 European Journal of Control 2 Vietnam Journal of Mathematics 2 Chaos 2 Journal of Dynamical and Control Systems 2 Methodology and Computing in Applied Probability 2 Journal of Nonlinear Mathematical Physics 2 Journal of Systems Science and Complexity 2 Communications on Pure and Applied Analysis 2 Journal of Mathematical Inequalities 2 Mathematical Control and Related Fields 2 ISRN Applied Mathematics 2 Evolution Equations and Control Theory 2 Modern Stochastics. Theory and Applications 2 Open Mathematics 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 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Optimization 1 BIT 1 Czechoslovak Mathematical Journal 1 Fuzzy Sets and Systems 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Quaestiones Mathematicae 1 Semigroup Forum 1 Tamkang Journal of Mathematics 1 Theoretical Population Biology 1 Optimal Control Applications & Methods 1 Cybernetics 1 Circuits, Systems, and Signal Processing 1 Acta Applicandae Mathematicae 1 Journal of the Nigerian Mathematical Society ...and 55 more Serials all top 5 Cited in 25 Fields 257 Probability theory and stochastic processes (60-XX) 257 Systems theory; control (93-XX) 247 Ordinary differential equations (34-XX) 188 Biology and other natural sciences (92-XX) 89 Difference and functional equations (39-XX) 68 Numerical analysis (65-XX) 56 Partial differential equations (35-XX) 48 Dynamical systems and ergodic theory (37-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 26 Integral equations (45-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Mechanics of deformable solids (74-XX) 10 Operator theory (47-XX) 9 Computer science (68-XX) 7 Fluid mechanics (76-XX) 6 Real functions (26-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Mechanics of particles and systems (70-XX) 3 Operations research, mathematical programming (90-XX) 2 Geophysics (86-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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