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[PDF] Top 20 Existence, uniqueness and stability of the solution to neutral stochastic functional differential equations with infinite delay under non Lipschitz conditions

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Existence, uniqueness and stability of the solution to neutral stochastic functional differential equations with infinite delay under non Lipschitz conditions

Existence, uniqueness and stability of the solution to neutral stochastic functional differential equations with infinite delay under non Lipschitz conditions

... approximate solution and the accurate one to ISFDEs, which generalized Mao’s conclusions ..., under uni- form Lipschitz condition and local Lipschitz respectively, Wei et ...the ... See full document

12

Existence, uniqueness and stability results for impulsive stochastic functional differential equations with infinite delay and poisson jumps

Existence, uniqueness and stability results for impulsive stochastic functional differential equations with infinite delay and poisson jumps

... Impulsive Stochastic functional differential equation with ...the existence and uniqueness results of mild solution for Impul- sive SFDEs with infinite delay and ... See full document

7

Existence and stability of solutions to non linear neutral stochastic functional differential equations in the framework of G Brownian motion

Existence and stability of solutions to non linear neutral stochastic functional differential equations in the framework of G Brownian motion

... as stochastic dynamical ...that, under the contractive condition, the weakened linear growth condition and the non-Lipschitz condition, a neutral stochastic functional ... See full document

14

Existence, Uniqueness and Stability of Neutral Stochastic Functional Integro differential Evolution Equations with Infinite Delay

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 ... See full document

7

Neutral stochastic functional differential equations with Levy jumps under the local Lipschitz condition

Neutral stochastic functional differential equations with Levy jumps under the local Lipschitz condition

... the existence and uniqueness theorem of mild solutions to a class of stochastic neutral partial functional differential equations under non-Lipschitz ... See full document

24

Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay

Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay

... as existence and stability are basic problems of fractional dif- ferential equations ...continuous solution corresponding to the initial value problem globally exists ...sufficient ... See full document

14

Existence and exponential stability in the pth moment for impulsive neutral stochastic integro differential equations driven by mixed fractional Brownian motion

Existence and exponential stability in the pth moment for impulsive neutral stochastic integro differential equations driven by mixed fractional Brownian motion

... differential equations in their ...[19], existence and stability [20–25] of the impulsive stochastic differential equation were in- ...istence, uniqueness and mean-square exponential ... See full document

19

A note on the existence and uniqueness of the solutions to SFDES

A note on the existence and uniqueness of the solutions to SFDES

... in stochastic functional differential equations(SFDEs) with finite and infinite delay under less restrictive conditions than Lipschitz ...the ... See full document

11

Existence of mild solutions for impulsive fractional stochastic equations with infinite delay

Existence of mild solutions for impulsive fractional stochastic equations with infinite delay

... The stochastic differential equations have been widely applied in science, engineering, biology, mathematical finance and in almost all applied ...the existence and uniqueness of ... See full document

14

Existence of mild solution result for fractional neutral stochastic integro-differential equations with nonlocal conditions and infinite delay

Existence of mild solution result for fractional neutral stochastic integro-differential equations with nonlocal conditions and infinite delay

... the existence of mild solutions for the fractional differential equations of neutral type with nonlocal conditions and infinite delay in Hilbert spaces by employing ... See full document

14

Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients

Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients

... asymptotic stability and boundedness arising from automatic ...local Lipschitz condition and linear growth ...discussing existence, uniqueness and stability of solutions of highly ... See full document

16

Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non Lipschitz Coefficients

Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non Lipschitz Coefficients

... on existence, uniqueness of mild solutions to neutral stochastic partial functional integrodi fferential equations under the Carath´eodory-type conditions on the ... See full document

13

A note on the solutions of neutral SFDEs with infinite delay

A note on the solutions of neutral SFDEs with infinite delay

... the existence and uniqueness of solution of the neutral stochastic functional differential infinite delay equations under a non-Lipschitz ... See full document

11

1.
													Existence and uniqueness of quasilinear impulsive functional differential equation

1. Existence and uniqueness of quasilinear impulsive functional differential equation

... the existence of solutions of abstract nonlinear impulsive evolution equations in Banach space[1, 3, 5, 6, 9, 10, 11, 12, 15, 16, 20, 21], ...integral equations in abstract ...the Existence of ... See full document

9

On the approximations of solutions to neutral SDEs with Markovian switching and jumps under non-Lipschitz conditions

On the approximations of solutions to neutral SDEs with Markovian switching and jumps under non-Lipschitz conditions

... merical solution of NSDEwMSJs under non-Lipschitz ...the existence and uniqueness of the solutions to the Eq.(2) with non-Lipschitz coefficients by using a Picard ... See full document

32

Solution Of Integro-Differential Equation Of The Second Order With The Operators

Solution Of Integro-Differential Equation Of The Second Order With The Operators

... the existence , uniqueness and also stability solution of integro-differential equations of the second order with the operators by using both method Picard approximation and ... See full document

17

Existence results for fractional differential equations with infinite delay and interval impulsive conditions

Existence results for fractional differential equations with infinite delay and interval impulsive conditions

... Fractional differential equations arise in many engineering and scientific disciplines as the mathemati- cal modeling of systems and processes in the fields of physics, chemistry, aerodynamics, ... See full document

8

Existence and uniqueness of solutions for random impulsive differential equation

Existence and uniqueness of solutions for random impulsive differential equation

... the existence and uniqueness of solution of random impulsive differential equation by reducing the linear growth ...Moreover, Lipschitz condition has to be relaxed on the impulsive ... See full document

6

Existence of mild solution for a class of coupled systems of neutral fractional integro differential equations with infinite delay in Banach space

Existence of mild solution for a class of coupled systems of neutral fractional integro differential equations with infinite delay in Banach space

... From (3.16)–(3.19), we know that Q is equicontinuous. Hence, by the Arzela–Ascoli theorem, we conclude that Q : Ω → Ω is completely continuous, that is, condition (iii) of Lemma 2.4 also holds. Thus all the ... See full document

15

On existence results for impulsive fractional neutral stochastic integro differential equations with nonlocal and state dependent delay conditions

On existence results for impulsive fractional neutral stochastic integro differential equations with nonlocal and state dependent delay conditions

... integro-differential equations in Banach ...differential equations in Banach ...differential equations (FDEs) have picked up extensive vitality because of their use in numerous sciences, including ... See full document

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