scholarly journals Optimal Control of Second Order Stochastic Evolution Hemivariational Inequalities with Poisson Jumps

2017 ◽  
Vol 21 (6) ◽  
pp. 1455-1475 ◽  
Author(s):  
Palanisamy Muthukumar ◽  
Nagarajan Durga ◽  
Fathalla A. Rihan ◽  
Chinnathambi Rajivganthi
Keyword(s):  
Optimal Control ◽  
Second Order ◽  
Hemivariational Inequalities ◽  
Stochastic Evolution ◽  
Poisson Jumps ◽  
Evolution Hemivariational Inequalities

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.

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