Results 21 to 30 of about 211 (62)
Asymptotic constancy of solutions of systems of difference equations
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 501-506, 1996., 1994 Assuming only conditional summability we study the convergence of the solutions of difference systems.
Rigoberto Medina, Manuel Pinto
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Stabilization of Lur’e-type nonlinear control systems by Lyapunov-Krasovskii functionals
, 2012 The paper deals with the stabilization problem of Lur’e-type nonlinear indirect control systems with time-delay argument. The sufficient conditions for absolute stability of the control system are established in the form of matrix algebraic inequalities ...
A. Shatyrko +3 more
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An extension of Horn′s theorem for a space of locally integrable functions
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 635-640, 1992., 1991 In this paper we extend the fixed point theorem of Horn′s to the space of locally integrable functions from (−∞, 0] into a Banach space X.
Hernan R. Henriquez +1 more
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Functional differential equations with infinite delay in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 497-508, 1991., 1990 In this paper, a definition of the fundamental operator for the linear autonomous functional differential equation with infinite delay in a Banach space is given, and some sufficient and necessary conditions of the fundamental operator being exponentially stable in abstract phase spaces which satisfy some suitable hypotheses are obtained.
Jin Liang, Tijun Xiao
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International Journal of Differential Equations, Volume 2024, Issue 1, 2024.This paper investigates the existence and controllability of second‐order functional differential equations with infinite delay, incorporating random operators. The existence of solutions is established using the Schauder fixed point theorem, ensuring that solutions exist under specified conditions.
Srinivasan Madhumitha +5 more
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International Journal of Stochastic Analysis, Volume 4, Issue 4, Page 313-332, 1991., 1991 This paper is divided into four parts. Part 1 contains a survey of three neural networks found in the literature and which motivate this work. In Part 2 we model a neural network with a very general integral form of memory, prove a boundedness result, and obtain a first result on asymptotic stability of equilibrium points.
T. A. Burton
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PERMUTATION GROUPS AND PERIODICITY OF SYSTEMS OF DIFFERENCE EQUATIONS
, 2018 Here, stochastic asymptotic stability (SAS) of the zero solution of a stochastic delay differential equation (SDDE) of third order such as ... x (t) + f(ẋ(t))ẍ(t) + g(ẋ(t− τ)) + h(x(t− τ)) + σx(t)ω̇(t) = 0 is discussed. To arrive at the aim of this paper,
A. Hamza, N. Zeyada, Anwar E. Ahmed
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Reducible functional differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 1, Page 1-27, 1985., 1985 This is the first part of a survey on analytic solutions of functional differential equations (FDE). Some classes of FDE that can be reduced to ordinary differential equations are considered since they often provide an insight into the structure of analytic solutions to equations with more general argument deviations.
S. M. Shah, Joseph Wiener
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Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays
, 2014 In this paper, we deal with a discrete Lotka-Volterra predator-prey model with time-varying delays. For the general non-autonomous case, sufficient conditions which ensure the permanence and global stability of the system are obtained by using ...
Changjin Xu, Yusen Wu, Lin Lu
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Advanced differential equations with piecewise constant argument deviations
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 4, Page 671-703, 1983., 1983 Functional differential equations of advanced type with piecewise constant argument deviations are studied. They are closely related to impulse, loaded and, especially, to difference equations, and have the structure of continuous dynamical systems within intervals of unit length.
S. M. Shah, Joseph Wiener
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