Leonid E. Shaikhet

Personal Home Page

http://www.worldses.org/conferences/2006/texas/math/session2.htm

Articles in Scholarly Journals [Incomplete List]

  1. Method of Lyapunov functionals construction in stability of delay evolution equations
    Journal of Mathematical Analysis and Applications, vol. 334, no. 2, pp. 1130–1145, 2007
  2. Mean Square Summability of Solution of Stochastic Difference Second-Kind Volterra Equation with Small Nonlinearity
    Advances in Difference Equations, vol. 2007, Article ID 65012, 13 pages, 2007
  3. Stability of the Positive Point of Equilibrium of Nicholson's Blowflies Equation with Stochastic Perturbations: Numerical Analysis
    Discrete Dynamics in Nature and Society, vol. 2007, Article ID 92959, 25 pages, 2007
  4. Reliability of difference analogues to preserve stability properties of stochastic Volterra integro-differential equations
    Advances in Difference Equations, vol. 2006, Article ID 73897, 22 pages, 2006
  5. A new view on one problem of asymptotic behavior of solutions of delay difference equations
    Discrete Dynamics in Nature and Society, vol. 2006, Article ID 74043, 16 pages, 2006
  6. About stability of a difference analogue of a nonlinear integro-differential equation of convolution type
    Applied Mathematics Letters, vol. 19, no. 11, pp. 1216–1221, 2006
  7. Stochastics and Dynamics, vol. 5, no. 2, p. 175, 2005
  8. Stability of difference analogue of linear mathematical inverted pendulum
    Discrete Dynamics in Nature and Society, vol. 2005, no. 3, pp. 215–226, 2005
  9. Lyapunov functionals construction for stochastic difference second-kind Volterra equations with continuous time
    Advances in Difference Equations, vol. 2004, no. 1, pp. 67–91, 2004
  10. About Lyapunov functionals construction for difference equations with continuous time
    Applied Mathematics Letters, vol. 17, no. 8, pp. 985–991, 2004
  11. Construction of Lyapunov functionals for stochastic difference equations with continuous time
    Mathematics and Computers in Simulation, vol. 66, no. 6, pp. 509–521, 2004
  12. Application of the general method of Lyapunov functionals construction for difference Volterra equations
    Computers & Mathematics with Applications, vol. 47, no. 8-9, pp. 1165–1176, 2004
  13. Some conditions for boundedness of solutions of difference volterra equations
    Applied Mathematics Letters, vol. 16, no. 6, pp. 857–862, 2003
  14. About one application of the general method of Lyapunov functionals construction
    International Journal of Robust and Nonlinear Control, vol. 13, no. 9, pp. 805–818, 2003
  15. Construction of lyapunov functionals for stochastic hereditary systems: a survey of some recent results
    Mathematical and Computer Modelling, vol. 36, no. 6, pp. 691–716, 2002
  16. Some peculiarities of the general method of Lyapunov functionals construction
    Applied Mathematics Letters, vol. 15, no. 3, pp. 355–360, 2002
  17. About stability of nonlinear stochastic difference equations
    Applied Mathematics Letters, vol. 13, no. 5, pp. 27–32, 2000
  18. Stability of epidemic model with time delays influenced by stochastic perturbations
    Mathematics and Computers in Simulation, vol. 45, no. 3-4, pp. 269–277, 1998
  19. Optimal control of Volterra type stochastic difference equations
    Computers & Mathematics with Applications, vol. 36, no. 10-12, pp. 251–259, 1998
  20. Optimal control problem for nonlinear stochastic difference second kind volterra equations
    Computers & Mathematics with Applications, vol. 34, no. 9, pp. 65–73, 1997
  21. Linear square optimal control problem for stochastic difference equations with unknown parameters
    Mathematical and Computer Modelling, vol. 25, no. 2, pp. 3–9, 1997
  22. Necessary and sufficient conditions of asymptotic mean square stability for stochastic linear difference equations
    Applied Mathematics Letters, vol. 10, no. 3, pp. 111–115, 1997
  23. Numerical solution of some optimal control problems
    Stochastic Analysis and Applications, vol. 14, no. 1, pp. 101–130, 1996
  24. Stability in probability of nonlinear stochastic systems with delay
    Mathematical Notes, vol. 57, no. 1, pp. 103–106, 1995
  25. A problem of adaptive control with standard model
    Journal of Soviet Mathematics, vol. 67, no. 4, pp. 3234–3236, 1993
  26. Construction of successive approximations to optimal control of stochastic quasilinear integral-functional equations
    Mathematical Notes, vol. 51, no. 2, pp. 196–203, 1992
  27. Asymptotic stability of linear stochastic differential equations of neutral type
    Mathematical Notes, vol. 52, no. 2, pp. 856–858, 1992
  28. Optimal control of certain hyperbolic and integral stochastic equations
    Journal of Soviet Mathematics, vol. 53, no. 4, pp. 457–462, 1991
  29. On the ?-optimal control of quasilinear integral equations
    Journal of Soviet Mathematics, vol. 53, no. 1, pp. 101–104, 1991
  30. On a linearly quadratic problem of optimal control of a Stochastic Volterra equation
    Mathematical Notes of the Academy of Sciences of the USSR, vol. 48, no. 6, pp. 1249–1252, 1990
  31. An estimation problem for linear stochastic equations with memory
    Cybernetics, vol. 26, no. 3, pp. 409–417, 1990
  32. States estimate of hereditary stochastic systems
    Stochastic Analysis and Applications, vol. 7, no. 4, pp. 387–411, 1989
  33. A new method of solving the optimal control problem for a partially observable stochastic Volterra process
    Journal of Applied Mathematics and Mechanics, vol. 53, no. 1, pp. 140–143, 1989
  34. Optimal control of stochastic systems with aftereffect and unknown parameters
    Cybernetics, vol. 24, no. 2, pp. 255–260, 1988
  35. Estimation of the solutions of linear stochastic integral equations
    Journal of Applied Mathematics and Mechanics, vol. 51, no. 5, pp. 607–612, 1987
  36. On the optimal control of integral-functional equations
    Journal of Applied Mathematics and Mechanics, vol. 49, no. 6, pp. 704–712, 1985
  37. Optimal control of a class of stochastic partial differential equations
    Mathematical Notes of the Academy of Sciences of the USSR, vol. 31, no. 6, pp. 471–472, 1982
  38. On the approximate synthesis of the optimal control of stochastic quasilinear systems with aftereffect PMM vol. 42, no. 6, 1978, pp. 978–988
    Journal of Applied Mathematics and Mechanics, vol. 42, no. 6, pp. 1070–1080, 1978
  39. Stability in first approximation of stochastic systems with after effect PMM vol. 40, n? 6, 1976, pp. 1116–1121
    Journal of Applied Mathematics and Mechanics, vol. 40, no. 6, pp. 1056–1062, 1976
  40. A stability criterion for a system of linear differential equations with periodic coefficients
    Soviet Applied Mechanics, vol. 11, no. 7, pp. 785–787, 1975
  41. Stability of the solution of a linear second-order differential equation with periodic coefficients
    Soviet Applied Mechanics, vol. 10, no. 4, pp. 437–440, 1974