Existence and exponential stability for impulsive neutral stochastic functional differential equations driven by fBm with noncompact semigroup via Mönch fixed point
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.07.002
Abstract: Abstract In this paper, we investigate the existence and exponential stability of mild solutions for a class of impulsive neutral stochastic functional differential equations driven by fBm with noncompact semigroup in Hilbert spaces. Sufficient conditions… read more here.
Keywords: neutral stochastic; stochastic functional; exponential stability; impulsive neutral ... See more keywords
LOCAL EXISTENCE AND EXPONENTIAL DECAY OF SOLUTIONS FOR A NONLINEAR PSEUDOPARABOLIC EQUATION WITH VISCOELASTIC TERM
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear functional analysis and applications"
DOI: 10.22771/nfaa.2021.26.01.03
Abstract: In this paper, we investigate an initial boundary value problem for a nonlinear pseudoparabolic equation. At first, by applying the Faedo-Galerkin, we prove local existence and uniqueness results. Next, by constructing Lyapunov functional, we establish… read more here.
Keywords: local existence; pseudoparabolic equation; nonlinear pseudoparabolic; existence exponential ... See more keywords