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

TOM

Stability of Linear Scalar Equations,ntial equations with constant and variable coefficients and with constant and variable delays. It is shown that different ways of constructing Lyapunov functionals for a given equation allow one to get different conditions for the asymptotic mean-square stability of the zero solution of this equatio

concubine

Stability of Systems with Nonlinearities, nonlinearities in deterministic and stochastic parts are considered, differential equation with fractional nonlinearity. It is shown that investigation of stability in probability for nonlinear systems with the level of nonlinearity higher than one can be reduced to investigation of asymptotic mean

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Matrix Riccati Equations in Stability of Linear Stochastic Differential Equations with Delays,near differential equations with constant delay, with distributed delay, and with variable bounded and unbounded delays. Sufficient stability conditions are formulated in terms of the existence of positive definite solutions of some matrix Riccati equations. Via the procedure of constructing Lyapuno

Atheroma

Stochastic Systems with Markovian Switching,an switching are obtained. Different ways of constructing Lyapunov functionals for getting stability conditions are considered. Taking into account that it is difficult enough in each case to get analytical stability conditions, a numerical procedure for investigation of the stability of stochastic

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,Stability of Equilibrium Points of Nicholson’s Blowflies Equation with Stochastic Perturbations,s investigated. Basic stages of the proposed research are the following. It is assumed that the considered nonlinear differential equation has an equilibrium point and exposed to stochastic perturbations of white noise type that are proportional to the deviation of the system current state from the

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,Stability of Positive Equilibrium Point of Nonlinear System of Type of Predator–Prey with Aftereffer, very often investigated models of predator–prey type. In particular, a ratio-dependent predator–prey model is considered. The system under consideration is exposed to stochastic perturbations and is linearized in a neighborhood of the positive point of equilibrium. Two different ways of construct

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Stability of SIR Epidemic Model Equilibrium Points,probability of the degenerated equilibrium point . and the positive equilibrium point ..=(..,..,..) of SIR epidemic model with distributed delays and stochastic perturbations are obtained. Results of numerical simulations of stability regions and trajectories of stable solutions are shown in 3 figur

sed-rate

Stability of Some Social Mathematical Models with Delay Under Stochastic Perturbations,e human behaviors related to some addictions: consumption of alcohol and obesity. An alcohol consumption habit is considered as susceptible to be transmitted by peer pressure or social contact. This fact leads us to propose an epidemiologic-type mathematical model to study this social epidemic. The

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Lyapunov Functionals and Stability of Stochastic Functional Differential Equations