Existence, Uniqueness and Stochastic Stability
Existence, Uniqueness and Stability of Neutral Stochastic Functional Integro differential Evolution Equations with Infinite Delay
... on existence, uniqueness and sta- bility of mild solutions to neutral stochastic functional evolu- tion integro-differential equations with non-Lipschitz condition and Lipschitz ...The ...
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Existence, uniqueness and stability results for impulsive stochastic functional differential equations with infinite delay and poisson jumps
... the existence and uniqueness of mild solutions of impulsive stochastic functional differential equations with infinite delay and Poisson jumps under non-Lipschitz condition with Lipschitz condition ...
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The existence and uniqueness of mild solutions to stochastic differential equations with Lévy noise
... exponential stability of mild solutions for NSDEs in Hilbert ...mean-square stability and the asymptotic mean-square stability of NSDEs driven by the cylindrical Brownian motion and Lévy ...
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Existence, uniqueness and stability of the solution to neutral stochastic functional differential equations with infinite delay under non Lipschitz conditions
... the existence, uniqueness and stability of the solution to neutral stochastic functional differential equations with infinite delay (short for INSFDEs) are studied in this ...
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Existence and uniqueness of solutions to stochastic heat equations with Markovian switching and Feller property
... INTRODUCTION Stochastic modelling plays a key role in sciences and ...particular, stochastic differential equations with Markovian switching (SDEs-MS in short) have a number of important applications, such ...
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Existence and Stability of Solutions for Nonautonomous Stochastic Functional Evolution Equations
... discuss existence, uniqueness, and pth p > 2 moment exponential stability of mild solutions to the stochastic partial functional differential equation ...
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Existence and uniqueness of solutions for stochastic differential equations of fractional order \(q > 1\) with finite delays
... 20. Wu, GC, Baleanu, D, Xie, HP: Riesz Riemann-Liouville difference on discrete domains. Chaos 26, 084308 (2016) 21. Baleanu, D, Wu, GC, Bai, YR, Chen, FL: Stability analysis of Caputo-like fractional systems. ...
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A note on the existence and uniqueness of the solutions to SFDES
... X: Stochastic Differential Equations and ...X: Stability analysis of stochastic functional differential equations with infinite delay and its application to recurrent neural ...The existence ...
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Existence, uniqueness and stability of fuzzy fractional differential equations with local Lipschitz and linear growth conditions
... 23. Zhang, X, Agarwal, P, Liu, Z, Peng, H, You, F, Zhu, Y: Existence and uniqueness of solutions for stochastic differential equations of fractional-order q > 1 with finite delays. Adv. Differ. Equ. ...
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Existence and stability results for multi time scale stochastic fractional neural networks
... the existence and uniqueness of solutions for multi-scale stochastic fractional neutral ...asymptotic stability of the solution of the given problem is also ...
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Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non Lipschitz Coefficients
... Neutral stochastic partial functional differential equations have atracted great interest due to their applications in characterizing many problems in physics, biology, mechanics and so ...as existence, ...
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Existence and Uniqueness of Solutions for Stochastic Differential Equations
... pp. stochastic dierential equations, stochastic analysis, stochastic integration Stochastic dierential equations arise typically in situations where, for instance, the time evolu- tion of a ...
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Existence and uniqueness of solutions of stochastic functional differential equations
... for stochastic functional dif- ferential equations with bounded memory driven by Brownian motion we show that only weak one-sided local Lipschitz (or “monotonicity”) conditions are sufficient for local ex- istence ...
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Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity
... the existence and the uniqueness are in the strong sense: there exists a solu- tion ξ adapted to the (completed) Brownian ltration (the smallest possible ltration) and any solution, dened on a possibly ...
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The Existence and Uniqueness of Random Solution to Itô Stochastic Integral Equation
... of existence and Uniqueness of a Random Solution to Itô Stochastic Integral ...of stochastic integral equation which has been of considerable importance to applied mathematicians and engineers ...
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Existence, Uniqueness and Continuity of Solutions to Stochastic Differential Equations by the Localisation Method
... a stochastic differential equation (SDE) with the drift coefficient µ modelling the predicted component, and the diffusion coefficient σ modelling the random component of the change, ...the stochastic ...
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The 2-D stochastic Keller-Segel particle model : existence and uniqueness
... of the solution of (1.4) with an initial configuration satisfying X 0 = x with x 1 = x 2 , all other coordinates being different and different from x 1 = x 2 . Indeed, on ξ < +∞, X ξ ∈ δM the set of particles with ...
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Existence, Uniqueness, Optimization and Stability for low Eigenvalues of some Nonlinear Operators
... If Λ ∞ is given the value (0.0.14), the same as for a constant exponent, then the existence of a non-trivial solution is guaranteed. A local uniqueness result also holds, cf. Theorem 8.4.4. Namely, in a ...
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Existence, uniqueness and stability of positive solutions to a general sublinear elliptic systems
... new stability result and bifurcation theory to study the existence and uniqueness of positive solutions to semilinear elliptic systems with some general sublinear ...
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Existence, uniqueness, and stability of solutions of a class of nonlinear partial differential equations
... In this study we investigate the existence, uniqueness and asymptotic stability of solutions of a class of nonlinear integral equations which are repres ent a ti.ons f[r] ...
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