Results 61 to 70 of about 334 (139)
Stability analysis in terms of two measures for dynamic systems on time scales
International Journal of Stochastic Analysis, Volume 6, Issue 4, Page 325-344, 1993., 1993 Using the theory of Lyapunov′s second method developed earlier for time scales, we extend our stability results to two measures which give rise to unification of several stability concepts in a single set up.
Billûr Kaymakçalan
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International Journal of Stochastic Analysis, Volume 5, Issue 3, Page 261-274, 1992., 1991 Differential equations of the form y′ = f(t, y, y′), where f is not necessarily linear in its arguments, represent certain physical phenomena and solutions have been known for quite some time. The well known Clairut′s and Chrystal′s equations fall into this category.
M. Venkatesulu, P. D. N. Srinivasu
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Computational and Mathematical Biophysics, 2023 Measles is a highly communicable viral infection that mostly affects children aged 5 years and below. Maternal antibodies in neonates help protect them from infectious diseases, including measles. However, maternal antibodies disappear a few months after
Opoku Samuel +2 more
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Lyapunov stability theory for dynamic systems on time scales
International Journal of Stochastic Analysis, Volume 5, Issue 3, Page 275-281, 1992., 1992 By use of the necessary calculus and the fundamental existence theory for dynamic systems on time scales, in this paper, we develop Lyapunov′s second method in the framework of general comparison principle so that one can cover and include several stability results for both types of equations at the same time.
Billur Kaymakçalan
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Open Mathematics, 2016 A two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper.
Chen Fengde +2 more
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STABILITY OF NEURAL NETWORKS WITH RANDOM IMPULSES
Dynamic systems and applications, 2018 One of the main properties of solutions of neural networks is stability and often the direct Lyapunov method is used to study stability properties. We consider the Hopfield’s graded response neural network in the case when the neurons are subject to a ...
S. Hristova, P. Kopanov
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On (h0, h)‐stability of autonomous systems
International Journal of Stochastic Analysis, Volume 5, Issue 4, Page 331-337, 1992., 1992 In this paper, we discuss the qualitative behavior of a map h along solutions of an autonomous system whose initial values are measured by a second map h0. By doing this, we may deal with, in a unified way, several concepts and associated problems, which are usually considered separately. Five theorems on asymptotic stability are given and two examples
Xinzhi Liu
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, 2016 The main purpose of this work is to investigate the qualitative behavior of an HIV dynamics model with two types of cocirculating target cells. The model takes into account both short-lived and long lived chronically infected cells.
A. Elaiw, N. Almuallem
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Acta Universitatis Sapientiae: Mathematica, 2016 In this paper, with use of Lyapunov functional, we investigate asymptotic stability of solutions of some nonlinear differential equations of third order with delay. Our results include and improve some well-known results in the literature.
Remili Moussadek, Oudjedi Lynda Damerdji
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Open Mathematics, 2019 In this paper, we consider an almost periodic commensal symbiosis model with nonlinear harvesting on time scales. We establish a criterion for the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system. Our
Xue Yalong, Xie Xiangdong, Lin Qifa
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