Open AccessExistence and Stability Results for Second-Order Neutral Stochastic Differential Equations With Random Impulses and Poisson Jumps
Author(s) -
K. Ravikumar,
K. Ramkumar,
Dimplekumar Chalishajar
Publication year - 2021
Publication title -
european journal of mathematical analysis
Language(s) - English
Resource type - Journals
ISSN - 2733-3957
DOI - 10.28924/ada/ma.1.1
Subject(s) - mathematics , contraction principle , banach space , stability (learning theory) , poisson distribution , stochastic differential equation , hilbert space , mathematical analysis , c0 semigroup , order (exchange) , differential equation , contraction (grammar) , fixed point theorem , computer science , statistics , medicine , finance , machine learning , economics
The objective of this paper is to investigate the existence and stability results of secondorder neutral stochastic functional differential equations (NSFDEs) in Hilbert space. Initially, we establish the existence results of mild solutions of the aforementioned system using the Banach contraction principle. The results are formulated using stochastic analysis techniques. In the later part, we investigate the stability results through the continuous dependence of solutions on initial conditions.