Results 31 to 40 of about 706 (132)
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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Effect of Vaccination to COVID-19 Disease Progression and Herd Immunity
Computational and Mathematical Biophysics, 2021 A mathematical model of COVID-19 with a delay-term for the vaccinated compartment is developed. It has parameters accounting for vaccine-induced immunity delay, vaccine effectiveness, vaccination rate, and vaccine-induced immunity duration.
Caga-anan Randy L. +5 more
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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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Open Mathematics, 2021 The aim of this work is to study the asymptotic stability of the time-changed stochastic delay differential equations (SDDEs) with Markovian switching.
Zhang Xiaozhi +2 more
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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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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
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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
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On the dynamics of a class of multi-group models for vector-borne diseases [PDF]
, 2015 The resurgence of vector-borne diseases is an increasing public health concern, and there is a need for a better understanding of their dynamics. For a number of diseases, e.g.
Aberrahman Iggidr +3 more
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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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Generalized practical stability results by perturbing Lyapunov functions
International Journal of Stochastic Analysis, Volume 9, Issue 1, Page 69-75, 1996., 1995 It is known that practical stability is neither stronger nor weaker than Lyapunov stability. In this paper we combine perturbing Lyapunov technique with stability in terms of two measures to obtain nonuniform practical stability results under weaker assumptions. We also use comparison methods to obtain these results.
Donna Stutson, A. S. Vatsala
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