Asymptotic Stability for the Second Order Evolution Equation with Memory
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-018-9410-2
Abstract: In this paper, we consider an abstract viscoelastic equation. We use memory-type damping with a general assumption on the relaxation function and establish explicit energy decay result from which we can recover the optimal exponential… read more here.
Keywords: order evolution; second order; asymptotic stability; stability second ... See more keywords
Ulam–Hyers stability for second-order non-instantaneous impulsive fractional neutral stochastic differential equations
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0088040
Abstract: In this paper, sufficient conditions are established for the Ulam–Hyers stability of second-order non-instantaneous impulsive fractional neutral stochastic differential equations (NIIFNSDEs) with supremum norm in the pth means square sense. The existence of solution of NIIFNSDEs… read more here.
Keywords: hyers stability; stability second; ulam hyers; non instantaneous ... See more keywords
Diophantine Stability and Second-Order Terms
Sign Up to like & getrecommendations! Published in 2024 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnaf284
Abstract: We establish a Galois-theoretic trichotomy governing Diophantine stability for genus $0$ curves. We use it to prove that the curve associated to the Hilbert symbol is Diophantine stable with probability $1$. Our asymptotic formula for… read more here.
Keywords: stability second; order terms; diophantine stability; second order ... See more keywords