Results 41 to 50 of about 841 (156)
On eventual stability of impulsive systems of differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 485-494, 2001., 2001 The notions of Lipschitz stability of impulsive systems of differential equations are extended and the notions of eventual stability are introduced. New notions called eventual and eventual Lipschitz stability. We give some criteria and results.
A. A. Soliman
wiley +1 more source
The strict stability of dynamic systems on time scales
International Journal of Stochastic Analysis, Volume 14, Issue 2, Page 195-204, 2001., 2001 The strict stability of dynamic systems on time scales is examined with sufficient conditions. Results analogous to Lyapunov′s theorems ae proved and discussed using a comparison principle.
S. Sivasundaram
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International Journal of Stochastic Analysis, Volume 11, Issue 2, Page 209-216, 1998., 1997 The present work is devoted to the study of stability of the zero solution to linear impulsive differential‐difference equations with variable impulsive perturbations. With the aid of piecewise continuous auxiliary functions, which are generalizations of the classical Lyapunov′s functions, sufficient conditions are found for the uniform stability and ...
D. D. Bainov +2 more
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Stability properties of a Cournot-type oligopoly model with time delay
Annals of the West University of Timisoara: Mathematics and Computer Science, 2023 The paper studies a Cournot game involving n private firms, where the firms’ interactions are analyzed in a discrete-time setting with time delay. The past production levels of other private firms have an impact on the production levels of each private ...
Culda Loredana Camelia
doaj +1 more source
Stable dynamics in forced systems with sufficiently high/low forcing frequency [PDF]
, 2015 We consider a class of parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and study the stability of the dynamics when the frequency of the forcing is relatively high or low.
Arnold V. I. +19 more
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Boundary Value Problems, 2013 Under Neumann or Dirichlet boundary conditions, the stability of a class of delayed impulsive Markovian jumping stochastic fuzzy p-Laplace partial differential equations (PDEs) is considered.
R. Rao, Zhilin Pu
semanticscholar +1 more source
Generalized stability of motion of impulsive Lurie‐Postnikov systems with structural perturbation
International Journal of Stochastic Analysis, Volume 11, Issue 4, Page 481-492, 1998., 1997 This paper investigates the absolute stability on ℊs of the zero solution of Lurie‐Postnikov systems with impulses and structural perturbation. A number of absolutely stable on ℊs theorems of the Lyapunov type for Lurie‐Postnikov systems are proved, extending and generalizing previous work on the subject.
A. A. Martynyuk, I. P. Stavroulakis
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New approach to asymptotic stability: time‐varying nonlinear systems
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 347-366, 1997., 1995 The results of the paper concern a broad family of time‐varying nonlinear systems with differentiable motions. The solutions are established in a form of the necessary and sufficient conditions for: 1) uniform asymptotic stability of the zero state, 2) for an exact single construction of a system Lyapunov function and 3) for an accurate single ...
L. T. Grujić
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Global properties of virus dynamics with B-cell impairment
Open Mathematics, 2019 In this paper we construct a class of virus dynamics models with impairment of B-cell functions. Two forms of the incidence rate have been considered, saturated and general. The well-posedness of the models is justified.
Elaiw Ahmed M. +2 more
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Lyapunov theorems for Banach spaces
, 1993 We present a spectral mapping theorem for semigroups on any Banach space $E$. From this, we obtain a characterization of exponential dichotomy for nonautonomous differential equations for $E$-valued functions.
Latushkin, Yuri +1 more
core +4 more sources