Existence and uniqueness of solutions to neutral stochastic functional differential equations with infinite delay
From MaRDI portal
Publication:1045809
DOI10.1016/j.amc.2009.07.025zbMath1195.34123OpenAlexW2055775664MaRDI QIDQ1045809
Publication date: 16 December 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.07.025
Stochastic functional-differential equations (34K50) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20) General theory of functional-differential equations (34K05)
Related Items
Neutral stochastic functional differential equations with Lévy jumps under the local Lipschitz condition ⋮ Existence and uniqueness of solutions for stochastic differential equations of fractional-order \(q > 1\) with finite delays ⋮ Stability and boundedness of stochastic Volterra integrodifferential equations with infinite delay ⋮ Existence, uniqueness and almost surely asymptotic estimations of the solutions to neutral stochastic functional differential equations driven by pure jumps ⋮ On the approximations of solutions to neutral SDEs with Markovian switching and jumps under non-Lipschitz conditions ⋮ Exponential stability of jump-diffusion systems with neutral term and impulses ⋮ Practical exponential stability of impulsive stochastic functional differential equations ⋮ Existence and uniqueness of mild solutions to some neutral stochastic partial functional integrodifferential equations with non-Lipschitz coefficients ⋮ Exponential stability of neutral stochastic delay differential equations with Markovian switching ⋮ Stability analysis for delayed Cohen–Grossberg Clifford‐valued neutral‐type neural networks ⋮ Periodic solutions for complex-valued neural networks of neutral type by combining graph theory with coincidence degree theory ⋮ Asymptotically almost periodic solutions of stochastic functional differential equations ⋮ Existence and uniqueness of mild solutions for nonlinear stochastic impulsive differential equation ⋮ Controllability of fractional impulsive neutral stochastic functional differential equations via Kuratowski measure of noncompactness ⋮ Mild solutions of neutral semilinear stochastic functional dynamic systems with local non-Lipschitz coefficients ⋮ Global asymptotic stability of stochastic complex-valued neural networks with probabilistic time-varying delays ⋮ On neutral impulsive stochastic integro-differential equations with infinite delays via fractional operators ⋮ Mean square convergence of explicit two-step methods for highly nonlinear stochastic differential equations ⋮ Approximate controllability of a second-order neutral stochastic differential equation with state-dependent delay ⋮ \(G\)-neutral stochastic differential equations with variable delay and non-Lipschitz coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exponential stability in mean square of neutral stochastic differential functional equations
- Stability of functional differential equations
- Introduction to functional differential equations
- On the exponential stability in mean square of neutral stochastic functional differential equations
- New criteria on exponential stability of neutral stochastic differential delay equations
