scholarly journals A general stability result for second order stochastic quasilinear evolution equations with memory

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Hui Yang ◽  
Shiyue Fang ◽  
Fei Liang ◽  
Min Li
Keyword(s):  
Evolution Equations ◽  
Stability Result ◽  
Second Order ◽  
General Stability ◽  
With Memory

scholarly journals Decay estimates for second order evolution equations with memory

2008 ◽  
Vol 254 (5) ◽  
pp. 1342-1372 ◽  
Author(s):  
Fatiha Alabau-Boussouira ◽  
Piermarco Cannarsa ◽  
Daniela Sforza
Keyword(s):  
Evolution Equations ◽  
Second Order ◽  
Decay Estimates ◽  
With Memory

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

2018 ◽  
Vol 5 (1) ◽  
pp. 59-75 ◽  
Author(s):  
Mark A. McKibben ◽  
Micah Webster
Keyword(s):  
Evolution Equations ◽  
Mild Solutions ◽  
Stability Result ◽  
Growth Conditions ◽  
Second Order ◽  
Probability Measures ◽  
Stochastic Evolution ◽  
Stochastic Evolution Equations ◽  
Poisson Jumps ◽  
Fractional Measure

Abstract 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.

scholarly journals Controllability of Evolution Equations with Memory

2017 ◽  
Vol 55 (4) ◽  
pp. 2437-2459 ◽  
Author(s):  
Felipe W. Chaves-Silva ◽  
Xu Zhang ◽  
Enrique Zuazua
Keyword(s):  
Evolution Equations ◽  
With Memory
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