Geodesic
Existence of solutions for non-autonomous second-order stochastic inclusions with Clarke's subdifferential and non instantaneous impulses
Filomat, Tome 36 (2022) no. 4, p. 1215

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DOI

This manuscript explores a new class of non-autonomous second-order stochastic inclusions of Clarke's subdifferential form with non-instantaneous impulses (NIIs), unbounded delay, and the Rosenblatt process in Hilbert spaces. The existence of a solution is deduced by employing a fixed point strategy for a set-valued map together with the evolution operator and stochastic analysis approach. An example is analyzed for theoretical developments
DOI : 10.2298/FIL2204215U
Classification : 34A12, 34A37, 34A60, 35K30, 60H10
Keywords: Second-order non-autonomous system, stochastic evolution inclusions, Fixed point, Rosenblatt process, Infinite delay, Clarke‘s generalized subdifferential, Mild solution 
Anjali Upadhyay; Surendra Kumar. Existence of solutions for non-autonomous second-order stochastic inclusions with Clarke's subdifferential and non instantaneous impulses. Filomat, Tome 36 (2022) no. 4, p. 1215 . doi: 10.2298/FIL2204215U
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     author = {Anjali Upadhyay and Surendra Kumar},
     title = {Existence of solutions for non-autonomous second-order stochastic inclusions with {Clarke's} subdifferential and non instantaneous impulses},
     journal = {Filomat},
     pages = {1215 },
     year = {2022},
     volume = {36},
     number = {4},
     doi = {10.2298/FIL2204215U},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2204215U/}
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