Geodesic
Exponential behavior of nonlinear stochastic partial functional equations driven by poisson jumps and Rosenblatt process
Filomat, Tome 36 (2022) no. 9, p. 2857

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DOI

In this article, we discuss the Asymptotic behaviour of mild solutions of nonlinear stochastic partial functional equations driven by Poisson jumps and Rosenblatt process. The Banach fixed point theorem and the theory of resolvent operator devolped by Grimmer are used. Finally, an illustrative example is given to demonstrate the effectiveness of the obtained results.
DOI : 10.2298/FIL2209857A
Classification : 60G18, 60G22, 60H20, 93B05
Keywords: Existence results, Stability, Poisson jumps, Rosenblatt process, Resolvent operator 
A Anguraj; K Ramkumar; K Ravikumar; Mamadou Abdou Diop. Exponential behavior of nonlinear stochastic partial functional equations driven by poisson jumps and Rosenblatt process. Filomat, Tome 36 (2022) no. 9, p. 2857 . doi: 10.2298/FIL2209857A
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     author = {A Anguraj and K Ramkumar and K Ravikumar and Mamadou Abdou Diop},
     title = {Exponential behavior of nonlinear stochastic partial functional equations driven by poisson jumps and {Rosenblatt} process},
     journal = {Filomat},
     pages = {2857 },
     year = {2022},
     volume = {36},
     number = {9},
     doi = {10.2298/FIL2209857A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2209857A/}
}
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