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Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term
Damped wave equations boundary delay global solutions exponential stability Kelvin-Voigt damping dynamic boundary conditions
2012/6/21
In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions related to the Kelvin-Voigt damping and a delay term acting on the boundary. If the weight of the delay ter...
Exponential Stability of Impulsive Stochastic Delay Partial Differential Equations with Poisson Jumps
impulsive stochastic differential equation exponential stability mild solution Poisson jumps
2012/9/24
Up to now, the stability problem of mild solution for the impulsive stochastic system with Poisson jumps has not been solved. In this paper, based on fixed point theory, the stability of mild solution...
Exponential stability of stochastic fuzzy Hopfield neural networks with time-varying delays and impulses
Stochastic Fuzzy Hopfield neural networks
2010/9/20
In this paper, the model of stochastic fuzzy Hopfield neural networks with time-varying delays and impulses (ISFVDHNNs) is established as a modified Takagi-Sugeno (TS) fuzzy model in which the consequ...
Exponential stability of switched systems with mixed time delays
Switching system distributed time delay
2010/9/17
This paper address the exponential stability for a class of switched systems with mixed time delays. Based on linear matrix inequalities and Lyapunov-Krasovskii functional approach, a geometrically sw...
A note on the exponential stability of nonlinear difference systems
difference equations exponential stability
2010/9/15
One of the directions arising from applications of difference equations is linked with qualitative investigation of their solutions. The analysis of numerical methods applied to autonomous linear prob...
Exponential Stability of Traveling Pulse Solutions of a Singularly Perturbed System ofIntegral Differential Equations Arising From Excitatory Neuronal Networks
Integral differential equations traveling pulse solutions exponential stability linear differential operators eigenvalue problems eigenvalue functions
2007/12/11
We establish the exponential stability of fast travelingpulse solutions to nonlinear singularly perturbed systems ofintegral differential equations arising from neuronal networks. Ithas been proved th...
EXPONENTIAL STABILITY OF A PARTIAL DIFFERENCE EQUATION WITH NONLINEAR PERTURBATION
Partial difference equation s
2007/12/10
Stability criteria are established for partial difference equations with nonlinear pertubations.