Geodesic
Existence, uniqueness and stability results for neutral stochastic differential equations with random impulses
Filomat, Tome 37 (2023) no. 3, p. 979

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DOI

This manuscript is devoted to the study of existence, uniqueness and stability results of neutral stochastic differential equations with random impulses. The existence results are obtained by considering sufficient conditions and applying fixed point theory to the aforementioned system. The stability results are proved via continuous dependence on initial value. Finally an example is provided to show the effectiveness of the obtained result.
DOI : 10.2298/FIL2303979V
Classification : 35R12, 60H99, 35B40, 34G20
Keywords: Existence, Stability, Random impulsive, Stochastic differential system, Fixed point method 
S Varshini; K Banupriya; K Ramkumar; K Ravikumar. Existence, uniqueness and stability results for neutral stochastic differential equations with random impulses. Filomat, Tome 37 (2023) no. 3, p. 979 . doi: 10.2298/FIL2303979V
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     author = {S Varshini and K Banupriya and K Ramkumar and K Ravikumar},
     title = {Existence, uniqueness and stability results for neutral stochastic differential equations with random impulses},
     journal = {Filomat},
     pages = {979 },
     year = {2023},
     volume = {37},
     number = {3},
     doi = {10.2298/FIL2303979V},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2303979V/}
}
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