Shaikhet, Leonid On stability in probability for a cooperative system of two equations with Nicholson’s growth and distributed delay under stochastic perturbations. (English) Zbl 07899395 Syst. Control Lett. 190, Article ID 105838, 7 p. (2024). MSC: 93-XX PDFBibTeX XMLCite \textit{L. Shaikhet}, Syst. Control Lett. 190, Article ID 105838, 7 p. (2024; Zbl 07899395) Full Text: DOI
Shaikhet, Leonid About stabilization by Poisson’s jumps for stochastic differential equations. (English) Zbl 07858948 Appl. Math. Lett. 153, Article ID 109068, 6 p. (2024). MSC: 60Hxx PDFBibTeX XMLCite \textit{L. Shaikhet}, Appl. Math. Lett. 153, Article ID 109068, 6 p. (2024; Zbl 07858948) Full Text: DOI
Shaikhet, Leonid Stability of equilibria of exponential type system of three differential equations under stochastic perturbations. (English) Zbl 1540.92142 Math. Comput. Simul. 206, 105-117 (2023). MSC: 92D25 34K20 PDFBibTeX XMLCite \textit{L. Shaikhet}, Math. Comput. Simul. 206, 105--117 (2023; Zbl 1540.92142) Full Text: DOI
Shaikhet, Leonid; Abbas, Syed Novel stability conditions for some generalization of Nicholson’s blowflies model with stochastic perturbations. (English) Zbl 1527.37055 ANZIAM J. 64, No. 4, 394-405 (2022). MSC: 37H30 37N25 34K20 34K50 PDFBibTeX XMLCite \textit{L. Shaikhet} and \textit{S. Abbas}, ANZIAM J. 64, No. 4, 394--405 (2022; Zbl 1527.37055) Full Text: DOI
Abbas, Syed; Shaikhet, Leonid Stability of three species symbiosis model with delay and stochastic perturbations. (English) Zbl 1496.92079 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 4, 241-251 (2022). MSC: 92D25 34D10 34D20 60H10 PDFBibTeX XMLCite \textit{S. Abbas} and \textit{L. Shaikhet}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 4, 241--251 (2022; Zbl 1496.92079) Full Text: Link Link
Shaikhet, Leonid; Caraballo, Tomás Stability of delay evolution equations with fading stochastic perturbations. (English) Zbl 1490.60191 Int. J. Control 95, No. 6, 1515-1521 (2022). MSC: 60H15 35K57 35Q30 PDFBibTeX XMLCite \textit{L. Shaikhet} and \textit{T. Caraballo}, Int. J. Control 95, No. 6, 1515--1521 (2022; Zbl 1490.60191) Full Text: DOI Link
Shaikhet, Leonid Behavior of solution of stochastic difference equation with continuous time under additive fading noise. (English) Zbl 1484.39020 Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 301-310 (2022). Reviewer: Liping Li (Beijing) MSC: 39A50 34K50 60G52 PDFBibTeX XMLCite \textit{L. Shaikhet}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 301--310 (2022; Zbl 1484.39020) Full Text: DOI
Shaikhet, Leonid About one method of stability investigation for nonlinear stochastic delay differential equations. (English) Zbl 1526.93270 Int. J. Robust Nonlinear Control 31, No. 8, 2946-2959 (2021). MSC: 93E15 93C23 93C10 34K50 34K20 PDFBibTeX XMLCite \textit{L. Shaikhet}, Int. J. Robust Nonlinear Control 31, No. 8, 2946--2959 (2021; Zbl 1526.93270) Full Text: DOI
Burgos, C.; Cortés, J.-C.; Shaikhet, L.; Villanueva, R.-J. A delayed nonlinear stochastic model for cocaine consumption: stability analysis and simulation using real data. (English) Zbl 1478.92181 Discrete Contin. Dyn. Syst., Ser. S 14, No. 4, 1233-1244 (2021). MSC: 92D30 93E15 34K50 60H40 PDFBibTeX XMLCite \textit{C. Burgos} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 4, 1233--1244 (2021; Zbl 1478.92181) Full Text: DOI
Korobeinikov, Andrei; Shaikhet, Leonid Global asymptotic properties of a stochastic model of population growth. (English) Zbl 1472.92182 Appl. Math. Lett. 121, Article ID 107429, 6 p. (2021). Reviewer: Yong Ye (Shenzhen) MSC: 92D25 93E15 PDFBibTeX XMLCite \textit{A. Korobeinikov} and \textit{L. Shaikhet}, Appl. Math. Lett. 121, Article ID 107429, 6 p. (2021; Zbl 1472.92182) Full Text: DOI arXiv
Bunimovich-Mendrazitsky, Svetlana; Shaikhet, Leonid Stability analysis of a mathematical model for chronic myeloid leukemia eradication. (English) Zbl 1467.92088 J. Biol. Syst. 29, No. 1, 169-191 (2021). MSC: 92C50 PDFBibTeX XMLCite \textit{S. Bunimovich-Mendrazitsky} and \textit{L. Shaikhet}, J. Biol. Syst. 29, No. 1, 169--191 (2021; Zbl 1467.92088) Full Text: DOI
Shaikhet, Leonid Behavior of solution of stochastic delay differential equation with additive fading perturbations. (English) Zbl 1453.34104 Appl. Math. Lett. 111, Article ID 106640, 9 p. (2021). MSC: 34K50 34K27 60J76 PDFBibTeX XMLCite \textit{L. Shaikhet}, Appl. Math. Lett. 111, Article ID 106640, 9 p. (2021; Zbl 1453.34104) Full Text: DOI
Shaikhet, Leonid Stability of delay differential equations with fading stochastic perturbations of the type of white noise and Poisson’s jumps. (English) Zbl 1458.34139 Discrete Contin. Dyn. Syst., Ser. B 25, No. 9, 3651-3657 (2020). Reviewer: Yong-Kui Chang (Xi’an) MSC: 34K50 34K20 34K27 PDFBibTeX XMLCite \textit{L. Shaikhet}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 9, 3651--3657 (2020; Zbl 1458.34139) Full Text: DOI
Shaikhet, Leonid About stability of difference equations with square summable level of stochastic perturbations. (English) Zbl 1434.39013 J. Difference Equ. Appl. 26, No. 3, 362-369 (2020). MSC: 39A50 39A30 15A45 PDFBibTeX XMLCite \textit{L. Shaikhet}, J. Difference Equ. Appl. 26, No. 3, 362--369 (2020; Zbl 1434.39013) Full Text: DOI
Shaikhet, Leonid Stability of the neoclassical growth model under perturbations of the type of Poisson’s jumps: analytical and numerical analysis. (English) Zbl 1464.91060 Commun. Nonlinear Sci. Numer. Simul. 72, 78-87 (2019). MSC: 91B62 60H10 PDFBibTeX XMLCite \textit{L. Shaikhet}, Commun. Nonlinear Sci. Numer. Simul. 72, 78--87 (2019; Zbl 1464.91060) Full Text: DOI
Shaikhet, Leonid Stability of the zero and positive equilibria of two connected neoclassical growth models under stochastic perturbations. (English) Zbl 1508.91349 Commun. Nonlinear Sci. Numer. Simul. 68, 86-93 (2019). MSC: 91B62 91B70 34K60 PDFBibTeX XMLCite \textit{L. Shaikhet}, Commun. Nonlinear Sci. Numer. Simul. 68, 86--93 (2019; Zbl 1508.91349) Full Text: DOI
Shaikhet, Leonid About stability of difference equations with continuous time and fading stochastic perturbations. (English) Zbl 1420.39013 Appl. Math. Lett. 98, 284-291 (2019). MSC: 39A50 39A30 PDFBibTeX XMLCite \textit{L. Shaikhet}, Appl. Math. Lett. 98, 284--291 (2019; Zbl 1420.39013) Full Text: DOI
Shaikhet, Leonid; Elena, Santiago F.; Korobeinikov, Andrei Stability of a stochastically perturbed model of intracellular single-stranded RNA virus replication. (English) Zbl 1418.92081 J. Biol. Syst. 27, No. 1, 69-82 (2019). MSC: 92D10 92D15 93E15 60H10 PDFBibTeX XMLCite \textit{L. Shaikhet} et al., J. Biol. Syst. 27, No. 1, 69--82 (2019; Zbl 1418.92081) Full Text: DOI arXiv
Fridman, Emilia; Shaikhet, Leonid Simple LMIs for stability of stochastic systems with delay term given by Stieltjes integral or with stabilizing delay. (English) Zbl 1408.93136 Syst. Control Lett. 124, 83-91 (2019). MSC: 93E15 93D20 93D30 93C05 26A42 PDFBibTeX XMLCite \textit{E. Fridman} and \textit{L. Shaikhet}, Syst. Control Lett. 124, 83--91 (2019; Zbl 1408.93136) Full Text: DOI
Shaikhet, Leonid About stability of delay differential equations with square integrable level of stochastic perturbations. (English) Zbl 1426.60082 Appl. Math. Lett. 90, 30-35 (2019). MSC: 60H10 34K50 34K20 PDFBibTeX XMLCite \textit{L. Shaikhet}, Appl. Math. Lett. 90, 30--35 (2019; Zbl 1426.60082) Full Text: DOI
Burgos, C.; Cortés, J.-C.; Shaikhet, Leonid; Villanueva, R.-J. A nonlinear dynamic age-structured model of e-commerce in Spain: stability analysis of the equilibrium by delay and stochastic perturbations. (English) Zbl 1508.91385 Commun. Nonlinear Sci. Numer. Simul. 64, 149-158 (2018). MSC: 91B70 91D20 92D30 34K50 PDFBibTeX XMLCite \textit{C. Burgos} et al., Commun. Nonlinear Sci. Numer. Simul. 64, 149--158 (2018; Zbl 1508.91385) Full Text: DOI Link
Shaikhet, Leonid Multi-condition of stability for nonlinear stochastic non-autonomous delay differential equation. (English) Zbl 1456.34078 Mod. Stoch., Theory Appl. 5, No. 3, 337-351 (2018). MSC: 34K50 34K20 60G55 37C60 PDFBibTeX XMLCite \textit{L. Shaikhet}, Mod. Stoch., Theory Appl. 5, No. 3, 337--351 (2018; Zbl 1456.34078) Full Text: DOI arXiv
Shaikhet, Leonid; Bunimovich-Mendrazitsky, Svetlana Stability analysis of delayed immune response BCG infection in bladder cancer treatment model by stochastic perturbations. (English) Zbl 1431.92068 Comput. Math. Methods Med. 2018, Article ID 9653873, 9 p. (2018). MSC: 92C50 34K20 34K50 PDFBibTeX XMLCite \textit{L. Shaikhet} and \textit{S. Bunimovich-Mendrazitsky}, Comput. Math. Methods Med. 2018, Article ID 9653873, 9 p. (2018; Zbl 1431.92068) Full Text: DOI
Shaikhet, Leonid About behavior of solution of difference equation with a logarithmic nonlinearity under stochastic perturbations. (English) Zbl 1391.39027 Appl. Math. Lett. 84, 103-110 (2018). MSC: 39A50 39A10 PDFBibTeX XMLCite \textit{L. Shaikhet}, Appl. Math. Lett. 84, 103--110 (2018; Zbl 1391.39027) Full Text: DOI
Shaikhet, Leonid Efimovich About some asymptotic properties of solution of stochastic delay differential equation with a logarithmic nonlinearity. (English) Zbl 1474.34566 Funct. Differ. Equ. 24, No. 1-2, 57-67 (2017). MSC: 34K50 34K20 60H10 34K25 34K21 PDFBibTeX XMLCite \textit{L. E. Shaikhet}, Funct. Differ. Equ. 24, No. 1--2, 57--67 (2017; Zbl 1474.34566) Full Text: Link
Chatzarakis, George E.; Shaikhet, Leonid Oscillation criteria for difference equations with non-monotone arguments. (English) Zbl 1422.39037 Adv. Difference Equ. 2017, Paper No. 62, 16 p. (2017). MSC: 39A21 39A10 PDFBibTeX XMLCite \textit{G. E. Chatzarakis} and \textit{L. Shaikhet}, Adv. Difference Equ. 2017, Paper No. 62, 16 p. (2017; Zbl 1422.39037) Full Text: DOI OA License
Fridman, Emilia; Shaikhet, Leonid Stabilization by using artificial delays: an LMI approach. (English) Zbl 1417.93252 Automatica 81, 429-437 (2017). MSC: 93D15 93D09 93C15 PDFBibTeX XMLCite \textit{E. Fridman} and \textit{L. Shaikhet}, Automatica 81, 429--437 (2017; Zbl 1417.93252) Full Text: DOI
Shaikhet, Leonid Stability of equilibrium states of a nonlinear delay differential equation with stochastic perturbations. (English) Zbl 1369.93702 Int. J. Robust Nonlinear Control 27, No. 6, 915-924 (2017). MSC: 93E15 93C10 93C15 93C73 PDFBibTeX XMLCite \textit{L. Shaikhet}, Int. J. Robust Nonlinear Control 27, No. 6, 915--924 (2017; Zbl 1369.93702) Full Text: DOI
Shaikhet, Leonid Stability of equilibriums of stochastically perturbed delay differential neoclassical growth model. (English) Zbl 1365.34142 Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1565-1573 (2017). MSC: 34K60 34K20 34K50 92D25 PDFBibTeX XMLCite \textit{L. Shaikhet}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1565--1573 (2017; Zbl 1365.34142) Full Text: DOI
Fridman, Emilia; Shaikhet, Leonid Delay-induced stability of vector second-order systems via simple Lyapunov functionals. (English) Zbl 1348.93218 Automatica 74, 288-296 (2016). MSC: 93D15 93D30 93C15 93C05 PDFBibTeX XMLCite \textit{E. Fridman} and \textit{L. Shaikhet}, Automatica 74, 288--296 (2016; Zbl 1348.93218) Full Text: DOI
Shaikhet, Leonid; Korobeinikov, Andrei Stability of a stochastic model for HIV-1 dynamics within a host. (English) Zbl 1351.92050 Appl. Anal. 95, No. 6, 1228-1238 (2016). MSC: 92D30 34D20 60H10 PDFBibTeX XMLCite \textit{L. Shaikhet} and \textit{A. Korobeinikov}, Appl. Anal. 95, No. 6, 1228--1238 (2016; Zbl 1351.92050) Full Text: DOI Link
Shaikhet, Leonid Stability of equilibrium states for a stochastically perturbed exponential type system of difference equations. (English) Zbl 1321.39022 J. Comput. Appl. Math. 290, 92-103 (2015). MSC: 39A30 39A10 39A22 39A50 65Q10 PDFBibTeX XMLCite \textit{L. Shaikhet}, J. Comput. Appl. Math. 290, 92--103 (2015; Zbl 1321.39022) Full Text: DOI
Shaikhet, Leonid Optimal control of stochastic difference Volterra equations. An introduction. (English) Zbl 1309.49001 Studies in Systems, Decision and Control 17. Cham: Springer (ISBN 978-3-319-13238-9/hbk; 978-3-319-13239-6/ebook). x, 220 p. (2015). Reviewer: Guy Jumarie (Montréal) MSC: 49-02 93-02 49J55 93E20 49K45 49J21 49K21 49N30 39A50 60H99 PDFBibTeX XMLCite \textit{L. Shaikhet}, Optimal control of stochastic difference Volterra equations. An introduction. Cham: Springer (2015; Zbl 1309.49001) Full Text: DOI
Shaikhet, Leonid Stability of a positive equilibrium state for a stochastically perturbed mathematical model of glassy-winged sharpshooter population. (English) Zbl 1327.92049 Math. Biosci. Eng. 11, No. 5, 1167-1174 (2014). MSC: 92D25 92D40 34K20 PDFBibTeX XMLCite \textit{L. Shaikhet}, Math. Biosci. Eng. 11, No. 5, 1167--1174 (2014; Zbl 1327.92049) Full Text: DOI OA License
Caraballo, Tomás; Shaikhet, Leonid Stability of delay evolution equations with stochastic perturbations. (English) Zbl 1316.60104 Commun. Pure Appl. Anal. 13, No. 5, 2095-2113 (2014). Reviewer: Ruhollah Jahanipur (Kashan) MSC: 60H15 60G52 35R60 35K35 PDFBibTeX XMLCite \textit{T. Caraballo} and \textit{L. Shaikhet}, Commun. Pure Appl. Anal. 13, No. 5, 2095--2113 (2014; Zbl 1316.60104) Full Text: DOI Link
Shaikhet, Leonid Stability of equilibrium states for a stochastically perturbed mosquito population equation. (English) Zbl 1292.93142 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 21, No. 2-3, 185-196 (2014). MSC: 93E15 93A30 93C73 93C10 92D25 PDFBibTeX XMLCite \textit{L. Shaikhet}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 21, No. 2--3, 185--196 (2014; Zbl 1292.93142) Full Text: Link
Santonja, F. J.; Shaikhet, L. Probabilistic stability analysis of social obesity epidemic by a delayed stochastic model. (English) Zbl 1292.93141 Nonlinear Anal., Real World Appl. 17, 114-125 (2014). MSC: 93E15 93E03 93D20 93C10 93B18 92D30 93C73 PDFBibTeX XMLCite \textit{F. J. Santonja} and \textit{L. Shaikhet}, Nonlinear Anal., Real World Appl. 17, 114--125 (2014; Zbl 1292.93141) Full Text: DOI
Shaikhet, Leonid Lyapunov functionals and stability of stochastic functional differential equations. (English) Zbl 1277.34003 Cham: Springer (ISBN 978-3-319-00100-5/hbk; 978-3-319-00101-2/ebook). xii, 342 p. (2013). Reviewer: Alexandra Rodkina (Kingston/Jamaica) MSC: 34-02 34K50 93D05 93D30 34K20 34F05 34K60 PDFBibTeX XMLCite \textit{L. Shaikhet}, Lyapunov functionals and stability of stochastic functional differential equations. Cham: Springer (2013; Zbl 1277.34003) Full Text: DOI
Shaikhet, Leonid Stability of equilibrium points of differential equation with fractional nonlinearity and stochastic perturbations. (English) Zbl 1381.34105 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 19, No. 6, 709-729 (2012). MSC: 34K50 34K20 PDFBibTeX XMLCite \textit{L. Shaikhet}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 19, No. 6, 709--729 (2012; Zbl 1381.34105) Full Text: Link
Santonja, Francisco-José; Shaikhet, Leonid Analysing social epidemics by delayed stochastic models. (English) Zbl 1248.91088 Discrete Dyn. Nat. Soc. 2012, Article ID 530472, 13 p. (2012). MSC: 91D30 92D30 60H30 93C95 93D05 PDFBibTeX XMLCite \textit{F.-J. Santonja} and \textit{L. Shaikhet}, Discrete Dyn. Nat. Soc. 2012, Article ID 530472, 13 p. (2012; Zbl 1248.91088) Full Text: DOI OA License
Shaikhet, Leonid Two unsolved problems in the stability theory of stochastic differential equations with delay. (English) Zbl 1247.60086 Appl. Math. Lett. 25, No. 3, 636-637 (2012). Reviewer: Nikolaos Halidias (Athens) MSC: 60H10 PDFBibTeX XMLCite \textit{L. Shaikhet}, Appl. Math. Lett. 25, No. 3, 636--637 (2012; Zbl 1247.60086) Full Text: DOI
Shaikhet, L. E.; Roberts, J. A. Asymptotic stability analysis of a stochastic Volterra integro-differential equation with fading memory. (English) Zbl 1263.93196 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 18, No. 6, 749-770 (2011). MSC: 93D20 93E03 93E15 93E25 PDFBibTeX XMLCite \textit{L. E. Shaikhet} and \textit{J. A. Roberts}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 18, No. 6, 749--770 (2011; Zbl 1263.93196) Full Text: Link
Shaikhet, Leonid Lyapunov functionals and stability of stochastic difference equations. (English) Zbl 1255.93001 London: Springer (ISBN 978-0-85729-684-9/hbk; 978-0-85729-685-6/ebook). xii, 370 p. (2011). Reviewer: Zygmunt Hasiewicz (Wrocław) MSC: 93-02 39-02 93D05 93D20 93D30 93E15 PDFBibTeX XMLCite \textit{L. Shaikhet}, Lyapunov functionals and stability of stochastic difference equations. London: Springer (2011; Zbl 1255.93001) Full Text: DOI
Shaikhet, Leonid About an unsolved stability problem for a stochastic difference equation with continuous time. (English) Zbl 1214.39008 J. Difference Equ. Appl. 17, No. 3, 441-444 (2011). MSC: 39A30 39A50 PDFBibTeX XMLCite \textit{L. Shaikhet}, J. Difference Equ. Appl. 17, No. 3, 441--444 (2011; Zbl 1214.39008) Full Text: DOI
Shaikhet, L. Some new aspects of Lyapunov-type theorems for stochastic differential equations of neutral type. (English) Zbl 1235.34212 SIAM J. Control Optim. 48, No. 7, 4481-4499 (2010). Reviewer: Michael Scheutzow (Berlin) MSC: 34K50 34K20 34K40 34K06 PDFBibTeX XMLCite \textit{L. Shaikhet}, SIAM J. Control Optim. 48, No. 7, 4481--4499 (2010; Zbl 1235.34212) Full Text: DOI
Shaikhet, Leonid Improved condition for stabilization of controlled inverted pendulum under stochastic perturbations. (English) Zbl 1178.34093 Discrete Contin. Dyn. Syst. 24, No. 4, 1335-1343 (2009). Reviewer: Jerzy Klamka (Gliwice) MSC: 34K20 34K50 93E15 34K35 93C05 93C55 PDFBibTeX XMLCite \textit{L. Shaikhet}, Discrete Contin. Dyn. Syst. 24, No. 4, 1335--1343 (2009; Zbl 1178.34093) Full Text: DOI
Shaikhet, Leonid Stability of a positive point of equilibrium of one nonlinear system with aftereffect and stochastic perturbations. (English) Zbl 1155.34352 Dyn. Syst. Appl. 17, No. 1, 235-253 (2008). MSC: 34K20 34K50 92D25 PDFBibTeX XMLCite \textit{L. Shaikhet}, Dyn. Syst. Appl. 17, No. 1, 235--253 (2008; Zbl 1155.34352)
Paternoster, Beatrice; Shaikhet, Leonid Stability of equilibrium points of fractional difference equations with stochastic perturbations. (English) Zbl 1149.39007 Adv. Difference Equ. 2008, Article ID 718408, 21 p. (2008). MSC: 39A11 39A20 93E15 37H10 PDFBibTeX XMLCite \textit{B. Paternoster} and \textit{L. Shaikhet}, Adv. Difference Equ. 2008, Article ID 718408, 21 p. (2008; Zbl 1149.39007) Full Text: DOI EuDML OA License
Rodkina, Alexandra; Schurz, Henri; Shaikhet, Leonid Almost sure stability of some stochastic dynamical systems with memory. (English) Zbl 1148.39011 Discrete Contin. Dyn. Syst. 21, No. 2, 571-593 (2008). Reviewer: Christian Pötzsche (München) MSC: 39A11 34F05 60H10 37H10 34K50 39A12 PDFBibTeX XMLCite \textit{A. Rodkina} et al., Discrete Contin. Dyn. Syst. 21, No. 2, 571--593 (2008; Zbl 1148.39011) Full Text: DOI OA License
Bradul, Nataliya; Shaikhet, Leonid Stability of the positive point of equilibrium of Nicholson’s blowflies equation with stochastic perturbations: numerical analysis. (English) Zbl 1179.60039 Discrete Dyn. Nat. Soc. 2007, Article ID 92959, 25 p. (2007). MSC: 60H10 34F05 92D40 PDFBibTeX XMLCite \textit{N. Bradul} and \textit{L. Shaikhet}, Discrete Dyn. Nat. Soc. 2007, Article ID 92959, 25 p. (2007; Zbl 1179.60039) Full Text: DOI EuDML OA License
Paternoster, Beatrice; Shaikhet, Leonid Mean square summability of solution of stochastic difference second-kind Volterra equation with small nonlinearity. (English) Zbl 1149.39006 Adv. Difference Equ. 2007, Article ID 65012, 13 p. (2007). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A11 93E15 37H10 PDFBibTeX XMLCite \textit{B. Paternoster} and \textit{L. Shaikhet}, Adv. Difference Equ. 2007, Article ID 65012, 13 p. (2007; Zbl 1149.39006) Full Text: DOI EuDML OA License
Luo, Jiaowan; Shaikhet, Leonid Stability in probability of nonlinear stochastic Volterra difference equations with continuous variable. (English) Zbl 1139.39018 Stochastic Anal. Appl. 25, No. 6, 1151-1165 (2007). Reviewer: Alexandra Rodkina (Kingston/Jamaica) MSC: 39A11 37H10 PDFBibTeX XMLCite \textit{J. Luo} and \textit{L. Shaikhet}, Stochastic Anal. Appl. 25, No. 6, 1151--1165 (2007; Zbl 1139.39018) Full Text: DOI
Caraballo, T.; Real, J.; Shaikhet, L. Method of Lyapunov functionals construction in stability of delay evolution equations. (English) Zbl 1178.34087 J. Math. Anal. Appl. 334, No. 2, 1130-1145 (2007). MSC: 34K20 34K30 35R10 PDFBibTeX XMLCite \textit{T. Caraballo} et al., J. Math. Anal. Appl. 334, No. 2, 1130--1145 (2007; Zbl 1178.34087) Full Text: DOI Link
Shaikhet, Leonid About stability of a difference analogue of a nonlinear integro-differential equation of convolution type. (English) Zbl 1176.39018 Appl. Math. Lett. 19, No. 11, 1216-1221 (2006). MSC: 39A30 39A12 45J05 45G10 PDFBibTeX XMLCite \textit{L. Shaikhet}, Appl. Math. Lett. 19, No. 11, 1216--1221 (2006; Zbl 1176.39018) Full Text: DOI
Shaikhet, L. A new view on one problem of asymptotic behavior of solutions of delay difference equations. (English) Zbl 1121.39005 Discrete Dyn. Nat. Soc. 2006, No. 3, Article ID 74043, 16 p. (2006). Reviewer: Shangjiang Guo (Hunan) MSC: 39A11 39A10 PDFBibTeX XMLCite \textit{L. Shaikhet}, Discrete Dyn. Nat. Soc. 2006, No. 4, Article ID 74043, 16 p. (2006; Zbl 1121.39005) Full Text: DOI EuDML
Shaikhet, Leonid E.; Roberts, Jason A. Reliability of difference analogues to preserve stability properties of stochastic Volterra integro-differential equations. (English) Zbl 1133.65003 Adv. Difference Equ. 2006, Article ID 73897, 22 p. (2006). MSC: 65C30 60H20 60H35 45J05 45R05 45M10 PDFBibTeX XMLCite \textit{L. E. Shaikhet} and \textit{J. A. Roberts}, Adv. Difference Equ. 2006, Article ID 73897, 22 p. (2006; Zbl 1133.65003) Full Text: DOI EuDML
Shaikhet, L. Stability of difference analogue of linear mathematical inverted pendulum. (English) Zbl 1135.39006 Discrete Dyn. Nat. Soc. 2005, No. 3, 215-226 (2005). MSC: 39A11 39A12 70K20 70Q05 93C55 PDFBibTeX XMLCite \textit{L. Shaikhet}, Discrete Dyn. Nat. Soc. 2005, No. 3, 215--226 (2005; Zbl 1135.39006) Full Text: DOI EuDML
Shaikhet, Leonid General method of Lyapunov functionals construction in stability investigations of nonlinear stochastic difference equations with continuous time. (English) Zbl 1083.39010 Stoch. Dyn. 5, No. 2, 175-188 (2005). Reviewer: Alexandra Rodkina (Kingston/Jamaica) MSC: 39A11 37H10 60H25 PDFBibTeX XMLCite \textit{L. Shaikhet}, Stoch. Dyn. 5, No. 2, 175--188 (2005; Zbl 1083.39010) Full Text: DOI
Bradul, N.; Shaikhet, L. The problem of optimal stabilization for stochastic difference Volterra type equation. (Russian) Zbl 1114.93327 Tr. Inst. Prikl. Mat. Mekh. 9, 24-45 (2004). Reviewer: S.Ya. Makhno MSC: 93E20 93E15 93C55 PDFBibTeX XMLCite \textit{N. Bradul} and \textit{L. Shaikhet}, Tr. Inst. Prikl. Mat. Mekh. 9, 24--45 (2004; Zbl 1114.93327)
Shaikhet, Leonid Lyapunov functionals construction for stochastic difference second-kind Volterra equations with continuous time. (English) Zbl 1080.39017 Adv. Difference Equ. 2004, No. 1, 67-91 (2004). Reviewer: Alexandra Rodkina (Kingston/Jamaica) MSC: 39A11 37H10 PDFBibTeX XMLCite \textit{L. Shaikhet}, Adv. Difference Equ. 2004, No. 1, 67--91 (2004; Zbl 1080.39017) Full Text: DOI EuDML
Paternoster, B.; Shaikhet, L. Application of the general method of Lyapunov functionals construction for difference Volterra equations. (English) Zbl 1069.39011 Comput. Math. Appl. 47, No. 8-9, 1165-1176 (2004). Reviewer: Yuan Rong (Beijing) MSC: 39A11 39A12 60H25 PDFBibTeX XMLCite \textit{B. Paternoster} and \textit{L. Shaikhet}, Comput. Math. Appl. 47, No. 8--9, 1165--1176 (2004; Zbl 1069.39011) Full Text: DOI
Shaikhet, L. About Lyapunov functionals construction for difference equations with continuous time. (English) Zbl 1068.39023 Appl. Math. Lett. 17, No. 8, 985-991 (2004). Reviewer: Christian Poetzsche (Minneapolis) MSC: 39A11 PDFBibTeX XMLCite \textit{L. Shaikhet}, Appl. Math. Lett. 17, No. 8, 985--991 (2004; Zbl 1068.39023) Full Text: DOI
Shaikhet, Leonid E. Construction of Lyapunov functionals for stochastic difference equations with continuous time. (English) Zbl 1066.93062 Math. Comput. Simul. 66, No. 6, 509-521 (2004). Reviewer: Alexandra Rodkina (Kingston/Jamaica) MSC: 93E15 93C55 93D30 PDFBibTeX XMLCite \textit{L. E. Shaikhet}, Math. Comput. Simul. 66, No. 6, 509--521 (2004; Zbl 1066.93062) Full Text: DOI
Kolmanovskii, V.; Shaikhet, L. Some conditions for boundedness of solutions of difference Volterra equations. (English) Zbl 1107.39301 Appl. Math. Lett. 16, No. 6, 857-862 (2003). MSC: 39A05 PDFBibTeX XMLCite \textit{V. Kolmanovskii} and \textit{L. Shaikhet}, Appl. Math. Lett. 16, No. 6, 857--862 (2003; Zbl 1107.39301) Full Text: DOI
Kolmanovskii, V.; Shaikhet, L. About one application of the general method of Lyapunov functionals construction. (English) Zbl 1075.93017 Int. J. Robust Nonlinear Control 13, No. 9, 805-818 (2003). MSC: 93C23 93D30 93D20 PDFBibTeX XMLCite \textit{V. Kolmanovskii} and \textit{L. Shaikhet}, Int. J. Robust Nonlinear Control 13, No. 9, 805--818 (2003; Zbl 1075.93017) Full Text: DOI
Kolmanovskii, V.; Shaikhet, L. Construction of Lyapunov functionals for stochastic hereditary systems: A survey of some recent results. (English) Zbl 1029.93057 Math. Comput. Modelling 36, No. 6, 691-716 (2002). Reviewer: Edwin Engin Yaz (Fayetteville) MSC: 93D30 93E15 93C55 93C23 PDFBibTeX XMLCite \textit{V. Kolmanovskii} and \textit{L. Shaikhet}, Math. Comput. Modelling 36, No. 6, 691--716 (2002; Zbl 1029.93057) Full Text: DOI
Shaikhet, Leonid Numerical simulation and stability of stochastic systems with Markovian switching. (English) Zbl 1024.65007 Neural Parallel Sci. Comput. 10, No. 2, 199-208 (2002). MSC: 65C30 65L20 60H35 60H10 34F05 PDFBibTeX XMLCite \textit{L. Shaikhet}, Neural Parallel Sci. Comput. 10, No. 2, 199--208 (2002; Zbl 1024.65007)
Kolmanovskii, V.; Shaikhet, L. Some peculiarities of the general method of Lyapunov functionals construction. (English) Zbl 1015.39001 Appl. Math. Lett. 15, No. 3, 355-360 (2002). Reviewer: Fozi Dannan (Doha) MSC: 39A11 93D05 93D30 PDFBibTeX XMLCite \textit{V. Kolmanovskii} and \textit{L. Shaikhet}, Appl. Math. Lett. 15, No. 3, 355--360 (2002; Zbl 1015.39001) Full Text: DOI
Borne, P.; Kolmanovskij, V.; Shaikhet, L. Stabilization of inverted pendulum by control with delay. (English) Zbl 1045.70015 Dyn. Syst. Appl. 9, No. 4, 501-514 (2000). MSC: 70Q05 70J25 PDFBibTeX XMLCite \textit{P. Borne} et al., Dyn. Syst. Appl. 9, No. 4, 501--514 (2000; Zbl 1045.70015)
Paternoster, B.; Shaikhet, L. About stability of nonlinear stochastic difference equations. (English) Zbl 0959.60056 Appl. Math. Lett. 13, No. 5, 27-32 (2000). MSC: 60H25 39A10 PDFBibTeX XMLCite \textit{B. Paternoster} and \textit{L. Shaikhet}, Appl. Math. Lett. 13, No. 5, 27--32 (2000; Zbl 0959.60056) Full Text: DOI
Borne, Pierre; Kolmanovskij, Vladimir B.; Shaikhet, Leonid E. Steady-state solutions of nonlinear model of inverted pendulum. (English) Zbl 0993.60051 Theory Stoch. Process. 5(21), No. 3-4, 203-209 (1999). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 60G99 PDFBibTeX XMLCite \textit{P. Borne} et al., Theory Stoch. Process. 5(21), No. 3--4, 203--209 (1999; Zbl 0993.60051)
Kolmanovskij, V. B.; Kosareva, N. P.; Shajkhet, L. E. A method for constructing Lyapunov functionals. (English. Russian original) Zbl 0983.93062 Differ. Equations 35, No. 11, 1573-1586 (1999); translation from Differ. Uravn. 35, No. 11, 1553-1565 (1999). Reviewer: Denis Khusainov (Kyïv) MSC: 93D30 39A11 93D20 PDFBibTeX XMLCite \textit{V. B. Kolmanovskij} et al., Differ. Equations 35, No. 11, 1573--1586 (1999; Zbl 0983.93062); translation from Differ. Uravn. 35, No. 11, 1553--1565 (1999)
Kovalev, A. A.; Kolmanovskii, V. B.; Shaikhet, L. E. Riccati equations in the stability of retarded stochastic linear systems. (English. Russian original) Zbl 1123.34323 Autom. Remote Control 59, No. 10, Part 1, 1379-1394 (1998); translation from Avtom. Telemekh. 1998, No. 10, 35-54 (1998). MSC: 34F05 60H10 PDFBibTeX XMLCite \textit{A. A. Kovalev} et al., Autom. Remote Control 59, No. 10, Part 1, 1379--1394 (1998; Zbl 1123.34323); translation from Avtom. Telemekh. 1998, No. 10, 35--54 (1998)
Beretta, Edoardo; Kolmanovskii, Vladimir; Shaikhet, Leonid Stability of epidemic model with time delays influenced by stochastic perturbations. (English) Zbl 1017.92504 Math. Comput. Simul. 45, No. 3-4, 269-277 (1998). MSC: 92D25 34K20 34K50 92D30 PDFBibTeX XMLCite \textit{E. Beretta} et al., Math. Comput. Simul. 45, No. 3--4, 269--277 (1998; Zbl 1017.92504) Full Text: DOI
Shaikhet, Leonid E. Stability of systems of stochastic linear difference equations with varying delays. (English) Zbl 0938.93059 Theory Stoch. Process. 4(20), No. 1-2, 258-273 (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 93E15 93D15 93C55 PDFBibTeX XMLCite \textit{L. E. Shaikhet}, Theory Stoch. Process. 4(20), No. 1--2, 258--273 (1998; Zbl 0938.93059)
Kuchkina, N.; Shaikhet, L. Optimal control of Volterra type stochastic difference equations. (English) Zbl 0987.93078 Comput. Math. Appl. 36, No. 10-12, 251-259 (1998). Reviewer: Ryszard Gessing (Gliwice) MSC: 93E20 49K45 39B05 PDFBibTeX XMLCite \textit{N. Kuchkina} and \textit{L. Shaikhet}, Comput. Math. Appl. 36, No. 10--12, 251--259 (1998; Zbl 0987.93078) Full Text: DOI
Kolmanovskii, V. B.; Shaikhet, L. E. Matrix Riccati equations and stability of stochastic linear systems with nonincreasing delays. (English) Zbl 1148.93346 Funct. Differ. Equ. 4, No. 3-4, 279-293 (1997). Reviewer: Volker Wihstutz (Charlotte) MSC: 93E03 34F05 34K50 93E15 93D20 PDFBibTeX XMLCite \textit{V. B. Kolmanovskii} and \textit{L. E. Shaikhet}, Funct. Differ. Equ. 4, No. 3--4, 279--293 (1997; Zbl 1148.93346)
Shaikhet, Leonid E. Problems of the stability for stochastic difference equations. (English) Zbl 0930.39014 Theory Stoch. Process. 3(19), No. 3-4, 403-411 (1997). Reviewer: Swishchuk, A.V.(Kyïv) MSC: 39A11 15A24 60H25 PDFBibTeX XMLCite \textit{L. E. Shaikhet}, Theory Stoch. Process. 3(19), No. 3--4, 403--411 (1997; Zbl 0930.39014)
Kolmanovskij, V. B.; Shaikhet, L. E. Stability of some stochastic Volterra type equations. (English. Russian original) Zbl 0987.93076 Differ. Equations 33, No. 11, 1501-1507 (1997); translation from Differ. Uravn. 33, No. 11, 1495-1501 (1997). Reviewer: Valentin Chernyatin (Szczecin) MSC: 93E15 93C55 93D20 PDFBibTeX XMLCite \textit{V. B. Kolmanovskij} and \textit{L. E. Shaikhet}, Differ. Equations 33, No. 11, 1501--1507 (1997; Zbl 0987.93076); translation from Differ. Uravn. 33, No. 11, 1495--1501 (1997)
Kuchkina, N.; Shaikhet, L. Optimal control problem for nonlinear stochastic difference second kind Volterra equations. (English) Zbl 0898.93036 Comput. Math. Appl. 34, No. 9, 65-73 (1997). Reviewer: Leslaw Socha (Katowice) MSC: 93E20 93C10 93C55 45D05 PDFBibTeX XMLCite \textit{N. Kuchkina} and \textit{L. Shaikhet}, Comput. Math. Appl. 34, No. 9, 65--73 (1997; Zbl 0898.93036) Full Text: DOI
Shaikhet, L. Necessary and sufficient conditions of asymptotic mean square stability for stochastic linear difference equations. (English) Zbl 0883.39005 Appl. Math. Lett. 10, No. 3, 111-115 (1997). MSC: 39A11 PDFBibTeX XMLCite \textit{L. Shaikhet}, Appl. Math. Lett. 10, No. 3, 111--115 (1997; Zbl 0883.39005) Full Text: DOI
Agarwal, R. P.; Shaikhet, L. E. Linear square optimal control problem for stochastic difference equations with unknown parameters. (English) Zbl 0881.93090 Math. Comput. Modelling 25, No. 2, 3-9 (1997). Reviewer: R.Gessing (Gliwice) MSC: 93E20 49N10 93C55 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{L. E. Shaikhet}, Math. Comput. Modelling 25, No. 2, 3--9 (1997; Zbl 0881.93090) Full Text: DOI
Kolmanovskij, V. B.; Shajkhet, L. E. Control of systems with aftereffect. Transl. from the Russian by Victor Kotov. (English) Zbl 0937.93001 Translations of Mathematical Monographs. 157. Providence, RI: American Mathematical Society (AMS). xi, 336 p. (1996). Reviewer: A.Akutowicz (Berlin) MSC: 93-02 49-02 34K35 49K25 93E20 93C23 49L20 49N10 PDFBibTeX XMLCite \textit{V. B. Kolmanovskij} and \textit{L. E. Shajkhet}, Control of systems with aftereffect. Transl. from the Russian by Victor Kotov. Providence, RI: AMS, American Mathematical Society (1996; Zbl 0937.93001)
Kolmanovskij, V. B.; Shaikhet, L. E. Numerical solution of some optimal control problems. (English) Zbl 0848.93065 Stochastic Anal. Appl. 14, No. 1, 101-130 (1996). Reviewer: D.Lepingle (Orléans) MSC: 93E20 PDFBibTeX XMLCite \textit{V. B. Kolmanovskij} and \textit{L. E. Shaikhet}, Stochastic Anal. Appl. 14, No. 1, 101--130 (1996; Zbl 0848.93065) Full Text: DOI
Kolmanovskij, V.; Shaikhet, L. Some problems of optimal control and estimation for stochastic hereditary systems. (English) Zbl 0842.93083 Deng, Zhongqi (ed.) et al., Differential equations and control theory. Proceedings of the international conference, Wuhan, People’s Republic of China, 1994. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 176, 129-141 (1996). Reviewer: M.Kohlmann (Bonn) MSC: 93E20 93E10 PDFBibTeX XMLCite \textit{V. Kolmanovskij} and \textit{L. Shaikhet}, Lect. Notes Pure Appl. Math. 176, 129--141 (1996; Zbl 0842.93083)
Shaikhet, Leonid E. Stability of stochastic hereditary systems with Markov switching. (English) Zbl 0939.60049 Theory Stoch. Process. 2(18), No. 3-4, 180-184 (1996). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60H10 60J60 PDFBibTeX XMLCite \textit{L. E. Shaikhet}, Theory Stoch. Process. 2(18), No. 3--4, 180--184 (1996; Zbl 0939.60049)
Kuchkina, Natalia V.; Shaikhet, Leonid E. Stability of the stochastic difference Volterra equations. (English) Zbl 0939.60071 Theory Stoch. Process. 2(18), No. 3-4, 79-85 (1996). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60H20 60G44 PDFBibTeX XMLCite \textit{N. V. Kuchkina} and \textit{L. E. Shaikhet}, Theory Stoch. Process. 2(18), No. 3--4, 79--85 (1996; Zbl 0939.60071)
Kolmanovskij, V. B.; Shajkhet, L. E. Asymptotic behavior of certain discrete-time systems. (English. Russian original) Zbl 0932.93075 Autom. Remote Control 57, No. 12, Pt. 1, 1735-1742 (1996); translation from Avtom. Telemekh. 1996, No. 12, 58-66 (1996). MSC: 93D20 93C55 PDFBibTeX XMLCite \textit{V. B. Kolmanovskij} and \textit{L. E. Shajkhet}, Autom. Remote Control 57, No. 12, Part 1, 1735--1742 (1996; Zbl 0932.93075); translation from Avtom. Telemekh. 1996, No. 12, 58--66 (1996)
Shaikhet, Leonid E. Modern state and development perspectives of Lyapunov functionals method in the stability theory of stochastic hereditary systems. (English) Zbl 0893.60029 Theory Stoch. Process. 2(18), No. 1-2, 248-259 (1996). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60H10 93E15 34F05 PDFBibTeX XMLCite \textit{L. E. Shaikhet}, Theory Stoch. Process. 2(18), No. 1--2, 248--259 (1996; Zbl 0893.60029)
Kolmanovskij, V. B.; Shaikhet, L. E. Method for constructing Lyapunov functionals for stochastic differential equations of the neutral type. (English. Russian original) Zbl 0869.93052 Differ. Equations 31, No. 11, 1819-1825 (1995); translation from Differ. Uravn. 31, No. 11, 1851-1857 (1995). Reviewer: V.Chernyatin (Szczecin) MSC: 93E15 34K20 PDFBibTeX XMLCite \textit{V. B. Kolmanovskij} and \textit{L. E. Shaikhet}, Differ. Equations 31, No. 11, 1819--1825 (1995; Zbl 0869.93052); translation from Differ. Uravn. 31, No. 11, 1851--1857 (1995)
Kolmanovskij, Vladimir; Shaikhet, Leonid General method of Lyapunov functionals construction for stability investigation of stochastic difference equations. (English) Zbl 0846.93083 Agarwal, R. P. (ed.), Dynamical systems and applications. Singapore: World Scientific. World Sci. Ser. Appl. Anal. 4, 397-439 (1995). Reviewer: W.Rümelin (Bremen) MSC: 93E15 93D20 PDFBibTeX XMLCite \textit{V. Kolmanovskij} and \textit{L. Shaikhet}, World Sci. Ser. Appl. Anal. 4, 397--439 (1995; Zbl 0846.93083)
Shaikhet, L. E. Stability in probability of nonlinear stochastic systems with delay. (English. Russian original) Zbl 0843.93086 Math. Notes 57, No. 1, 103-106 (1995); translation from Mat. Zametki 57, No. 1, 142-146 (1995). Reviewer: E.Yaz (Fayetteville) MSC: 93E15 93C10 34K35 PDFBibTeX XMLCite \textit{L. E. Shaikhet}, Math. Notes 57, No. 1, 103--106 (1995; Zbl 0843.93086); translation from Mat. Zametki 57, No. 1, 142--146 (1995) Full Text: DOI
Shaikhet, L. Stability in probability of nonlinear stochastic hereditary systems. (English) Zbl 0831.60075 Dyn. Syst. Appl. 4, No. 2, 199-204 (1995). Reviewer: A.Dale (Durban) MSC: 60H20 PDFBibTeX XMLCite \textit{L. Shaikhet}, Dyn. Syst. Appl. 4, No. 2, 199--204 (1995; Zbl 0831.60075)
Shajkhet, L. E. On the stability of solutions of stochastic Volterra equations. (English. Russian original) Zbl 0919.60064 Autom. Remote Control 56, No. 8, Pt. 2, 1129-1137 (1995); translation from Avtom. Telemekh. 1995, No. 8, 93-102 (1995). MSC: 60H20 93E15 93E20 PDFBibTeX XMLCite \textit{L. E. Shajkhet}, Autom. Remote Control 56, No. 8, Part 2, 1129--1137 (1995; Zbl 0919.60064); translation from Avtom. Telemekh. 1995, No. 8, 93--102 (1995)
Kolmanovskij, V.; Shaikhet, L. New results in stability theory for stochastic functional differential equations (SEDEs) and their applications. (English) Zbl 0811.34062 Ladde, G. S. (ed.) et al., Dynamic systems and applications. Vol. 1. Proceedings of the 1st international conference, held at Morehouse College, Atlanta, GA, USA, May 26-29, 1993. Atlanta, GA: Dynamic Publishers, Inc. 167-171 (1994). Reviewer: M.Scheutzow (Berlin) MSC: 34K50 60H10 34K20 PDFBibTeX XMLCite \textit{V. Kolmanovskij} and \textit{L. Shaikhet}, in: Dynamic systems and applications. Vol. 1. Proceedings of the 1st international conference, held at Morehouse College, Atlanta, GA, USA, May 26-29, 1993. Atlanta, GA: Dynamic Publishers, Inc.. 167--171 (1994; Zbl 0811.34062)
Kolmanovskij, V. B.; Shaikhet, L. E. Successive approximations to the optimal control of stochastic systems with after-effect. II. (English) Zbl 0848.93064 Random Oper. Stoch. Equ. 1, No. 4, 375-392 (1993). Reviewer: M.Scheutzow (Berlin) MSC: 93E20 PDFBibTeX XMLCite \textit{V. B. Kolmanovskij} and \textit{L. E. Shaikhet}, Random Oper. Stoch. Equ. 1, No. 4, 375--392 (1993; Zbl 0848.93064) Full Text: DOI
Shaikhet, L. E. Modern state of the optimal control theory of stochastic integral Volterra’s equations. (English) Zbl 0843.93087 Random Oper. Stoch. Equ. 1, No. 3, 259-277 (1993). Reviewer: M.Kohlmann (Bonn) MSC: 93E20 PDFBibTeX XMLCite \textit{L. E. Shaikhet}, Random Oper. Stoch. Equ. 1, No. 3, 259--277 (1993; Zbl 0843.93087) Full Text: DOI
Kolmanovskij, V. B.; Shaikhet, L. E. Successive approximations to the optimal control of stochastic systems with after-effect. I. (English) Zbl 0848.93063 Random Oper. Stoch. Equ. 1, No. 3, 245-258 (1993). Reviewer: M.Scheutzow (Berlin) MSC: 93E20 PDFBibTeX XMLCite \textit{V. B. Kolmanovskij} and \textit{L. E. Shaikhet}, Random Oper. Stoch. Equ. 1, No. 3, 245--258 (1993; Zbl 0848.93063) Full Text: DOI
Kolmanovskij, V. B.; Shajkhet, L. E. On a method to construct Lyapunov functionals for stochastic systems with aftereffect. (English. Russian original) Zbl 0815.34068 Differ. Equations 29, No. 11, 1657-1666 (1993); translation from Differ. Uravn. 29, No. 11, 1909-1920 (1993). Reviewer: V.Chernyatin (Szczecin) MSC: 34K50 34K20 34F05 34D20 93E03 93E15 PDFBibTeX XMLCite \textit{V. B. Kolmanovskij} and \textit{L. E. Shajkhet}, Differ. Equations 29, No. 11, 1909--1920 (1993; Zbl 0815.34068); translation from Differ. Uravn. 29, No. 11, 1909--1920 (1993)
Kolmanovskij, V. B.; Shajkhet, L. E. Stability of stochastic systems with consequence. (English. Russian original) Zbl 0809.93064 Autom. Remote Control 54, No. 7, Pt. 1, 1087-1107 (1993); translation from Avtom. Telemekh. 1993, No. 7, 66-85 (1993). MSC: 93E15 93D30 34K35 PDFBibTeX XMLCite \textit{V. B. Kolmanovskij} and \textit{L. E. Shajkhet}, Autom. Remote Control 54, No. 7, Part 1, 66--85 (1993; Zbl 0809.93064); translation from Avtom. Telemekh. 1993, No. 7, 66--85 (1993)