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Titlebook: Lyapunov Functionals and Stability of Stochastic Functional Differential Equations; Leonid Shaikhet Book 2013 Springer International Publi

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樓主
發(fā)表于 2025-3-21 19:39:42 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
編輯Leonid Shaikhet
視頻videohttp://file.papertrans.cn/590/589173/589173.mp4
概述Detailed description of Lyapunov functional construction will allow researchers to analyse stability results for hereditary systems more easily.Profuse analytical and numerical examples help to explai
圖書封面Titlebook: Lyapunov Functionals and Stability of Stochastic Functional Differential Equations;  Leonid Shaikhet Book 2013 Springer International Publi
描述Stability conditions for functional differential equations can be obtained using Lyapunov functionals.Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals to investigate the stability of differential equations with delays. This work continues and complements the author’s previous book Lyapunov Functionals and Stability of Stochastic Difference Equations, where this method is described for difference equations with discrete and continuous time.The text begins with both a description and a delineation of the peculiarities of deterministic and stochastic functional differential equations. There follows basic definitions for stability theory of stochastic hereditary systems, and the formal procedure of Lyapunov functionals construction is presented. Stability investigation is conducted for stochastic linear and nonlinear differential equations with constant and distributed delays. The proposed method is used for stability investigation of different mathematical models such as:? inverted controlled pendulum; ? Nicholson‘s blowflies equation;? predator-prey relationships;? epidemic develo
出版日期Book 2013
關(guān)鍵詞General Method of Lyapunov Functionals; Hereditary Systems; Numerical Simulation; Stability Theory; Stoc
版次1
doihttps://doi.org/10.1007/978-3-319-00101-2
isbn_softcover978-3-319-03352-5
isbn_ebook978-3-319-00101-2
copyrightSpringer International Publishing Switzerland 2013
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 22:20:54 | 只看該作者
Book 2013 Functional Differential Equations describes the general method of construction of Lyapunov functionals to investigate the stability of differential equations with delays. This work continues and complements the author’s previous book Lyapunov Functionals and Stability of Stochastic Difference Equat
板凳
發(fā)表于 2025-3-22 00:57:28 | 只看該作者
地板
發(fā)表于 2025-3-22 06:52:07 | 只看該作者
5#
發(fā)表于 2025-3-22 08:42:42 | 只看該作者
Stochastic Systems with Markovian Switching,articular, an application to Markov chain with two states and numerical simulation of systems with Markovian switching are considered. Some examples of using the proposed numerical procedure are considered. The results of the calculations are presented by 15 figures.
6#
發(fā)表于 2025-3-22 14:07:35 | 只看該作者
,Stability of Positive Equilibrium Point of Nonlinear System of Type of Predator–Prey with Aftereffef the constructed linear system are at the same time sufficient conditions for the stability in probability of the positive equilibrium point of the initial nonlinear system under stochastic perturbations. The obtained stability regions are illustrated by six figures.
7#
發(fā)表于 2025-3-22 20:59:57 | 只看該作者
Stabilization of the Controlled Inverted Pendulum by a Control with Delay,ns. Via the general method of construction of Lyapunov functionals sufficient conditions for stabilization of zero solution by stochastic perturbations are obtained, nonzero steady-state solutions are investigated. 38?figures show a behavior of the controlled inverted pendulum in the case of stable and unstable equilibrium.
8#
發(fā)表于 2025-3-23 00:01:31 | 只看該作者
Stability of Some Social Mathematical Models with Delay Under Stochastic Perturbations,is applied also to the social obesity epidemic models with distributed delay. The obtained results are illustrated by four figures with numerical simulations of stability regions and trajectories of solutions.
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發(fā)表于 2025-3-23 05:22:12 | 只看該作者
10#
發(fā)表于 2025-3-23 05:39:38 | 只看該作者
Stability of Systems with Nonlinearities,on of stability in probability for nonlinear systems with the level of nonlinearity higher than one can be reduced to investigation of asymptotic mean square stability of the linear part of the considered nonlinear system. The obtained results are illustrated by 18 figures.
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