Existence and Stability of Solutions for Nonautonomous Stochastic Functional Evolution Equations

نویسندگان

  • Xianlong Fu
  • Jozef Banas
چکیده

We establish the results on existence and exponent stability of solutions for a semilinear nonautonomous neutral stochastic evolution equation with finite delay; the linear part of this equation is dependent on time and generates a linear evolution system. The obtained results are applied to some neutral stochastic partial differential equations. These kinds of equations arise in systems related to couple oscillators in a noisy environment or in viscoelastic materials under random or stochastic influences.

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تاریخ انتشار 2009