Fractional Measure-dependent Nonlinear Second-order Stochastic Evolution Equations with Poisson Jumps.

Autor: McKibben, Mark A., Webster, Micah
Předmět:
Zdroj: Nonautonomous Dynamical Systems; Feb2018, Vol. 5 Issue 1, p59-75, 17p
Abstrakt: This paper focuses on a nonlinear second-order stochastic evolution equations driven by a fractional Brownian motion (fBm) with Poisson jumps and which is dependent upon a family of probability measures. The global existence of mild solutions is established under various growth conditions, and a related stability result is discussed. An example is presented to illustrate the applicability of the theory. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index