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[PDF] Top 20 Local stability and parameter dependence of mild solutions for stochastic differential equations

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Local stability and parameter dependence of mild solutions for stochastic differential equations

Local stability and parameter dependence of mild solutions for stochastic differential equations

... exponential stability as well as almost surely exponential stability of mild solutions are obtained under a sufficiently small initial value ξ ...consider parameter dependence of ... See full document

13

The existence and uniqueness of mild solutions to stochastic differential equations with Lévy noise

The existence and uniqueness of mild solutions to stochastic differential equations with Lévy noise

... mild solutions to stochastic neutral delay evolution equations with finite delay and Poisson jumps by the Banach fixed point theorem ...of mild solutions for stochastic ... See full document

12

Stability of stochastic differential equations in infinite dimensions

Stability of stochastic differential equations in infinite dimensions

... to stochastic differential equations with Markovian ...the stability property of stochastic differential equations has always lain at the center of our understanding ... See full document

203

On the asymptotic stability and numerical analysis of solutions to nonlinear stochastic differential equations with jumps

On the asymptotic stability and numerical analysis of solutions to nonlinear stochastic differential equations with jumps

... and stability of solution for SDEs under the local Lipschitz ...of stochastic differential delay equations (SDDEs) and obtain the almost sure asymptotic stability of solution to ... See full document

27

Convergence and stability of stochastic parabolic functional differential equations

Convergence and stability of stochastic parabolic functional differential equations

... years, stochastic parabolic partial differential equations have received a great deal of attention due to their important applications in biological, control engineering, economics, physics, social sciences, ... See full document

12

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 ...of solutions to stochastic ... See full document

14

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 ...of mild solution for Impul- sive SFDEs with infinite delay and Poisson jumps under non- Lipschitz condition with Lipschitz condition ... See full document

7

Iterative Method Of Solutions Of Evolution Stochastic Differential Equations With Local Conditions

Iterative Method Of Solutions Of Evolution Stochastic Differential Equations With Local Conditions

... and stability of a unique solution of quantum stochastic evolution equation driven by an additional operator under the strong topology is achievable using the iterative ...nonclassical stochastic ... See full document

5

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

... [–], stability theory [] and wave processes ...linear equations in the framework of G-Brownian motion were studied by Peng [, ], Gao [] and Faizullah ...of mild solutions for ... See full document

14

Exponential stability of mild solutions to impulsive stochastic neutral partial differential equations with memory

Exponential stability of mild solutions to impulsive stochastic neutral partial differential equations with memory

... exponential stability in the pth moment of mild solutions to impulsive stochastic neutral partial differential equations with ...the stability of the impulsive stochastic ... See full document

9

Asymptotic boundedness and stability of solutions to hybrid stochastic differential equations with jumps and the Euler-Maruyama approximation

Asymptotic boundedness and stability of solutions to hybrid stochastic differential equations with jumps and the Euler-Maruyama approximation

... 12 4 5 6 7 8 9 10 13 14 15 16 17 Convergence analysis of the EM approximate solutions In this section, we will study the convergence of the EM approximate solutions for hybrid SDEs with [r] ... See full document

33

Numerical solutions of neutral stochastic functional differential equations

Numerical solutions of neutral stochastic functional differential equations

... In section 2, we introduce some necessary assumptions and auxiliary results, de- fine the Euler–Maruyama method for NSFDEs and state our main result that the approximate solutions strongly converge to the exact ... See full document

20

Almost sure exponential stability of an explicit stochastic orthogonal Runge Kutta Chebyshev method for stochastic delay differential equations

Almost sure exponential stability of an explicit stochastic orthogonal Runge Kutta Chebyshev method for stochastic delay differential equations

... For the purpose of stability, we assume that f (, ) = g(, ) = , which implies that (.) admits the equilibrium solution y(t) =  corresponding to the initial condition ψ (t) =  for t ∈ [–τ , ]. As a ... See full document

8

Positive solutions for a second-order differential equation with integral boundary conditions and deviating arguments

Positive solutions for a second-order differential equation with integral boundary conditions and deviating arguments

... The paper is organized in the following fashion. In Section , we provide some neces- sary background. In particular, we state some properties of the Green’s function associated with problem (.). In Section , we use a ... See full document

21

Mild Solutions for Fractional Differential Equations with Nonlocal Conditions

Mild Solutions for Fractional Differential Equations with Nonlocal Conditions

... In this paper, motivated by 1–7, 9–15 especially the estimating approach given by Xiao and Liang 14, we study the semilinear fractional differential equations with nonlocal condition 1.1 in a Banach space X, ... See full document

9

On numerical solutions of fuzzy differential equations

On numerical solutions of fuzzy differential equations

... In this paper, we consider the construction of solution for fuzzy IVPs with respect to (1)- differentiability via HAM. The (2)- differentiability case is similar to this one. For the fuzzy case the Homotopy method is ... See full document

9

Integer Versus Fractional Order SEIR Deterministic and Stochastic Models of Measles

Integer Versus Fractional Order SEIR Deterministic and Stochastic Models of Measles

... fractional differential equations depicting the susceptible-exposed-infectious-recovered (SEIR) models of ...fractional stochastic processes, we introduce the fractional differential ... See full document

19

Accelerated Genetic Algorithm Solutions Of Some Parametric Families Of Stochastic Differential Equations

Accelerated Genetic Algorithm Solutions Of Some Parametric Families Of Stochastic Differential Equations

... solving stochastic differential equations driven by Wiener process by using an accelerated genetic ...these solutions obtained by our method. Finally, we established the Stochastic ... See full document

7

On mild solutions of nonlocal semilinear functional integro-differential equations

On mild solutions of nonlocal semilinear functional integro-differential equations

... L.Byzewski and H.Acka[3] studied existence,uniqueness and continuous dependence of a mild solution on initial data of problem (1.1)-(1.2) by Banach contraction theorem. The objective of this paper is to ... See full document

7

Integral inequalities with ‘maxima’ and their applications to Hadamard type fractional differential equations

Integral inequalities with ‘maxima’ and their applications to Hadamard type fractional differential equations

... 1. Pachpatte, BG: On some generalizations of Bellman’s lemma. J. Math. Anal. Appl. 5, 141-150 (1995) 2. Pachpatte, BG: Inequalities for Differential and Integral Equations. Academic Press, New York (1998) 3. ... See full document

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