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[PDF] Top 20 Controllability of semilinear stochastic delay evolution equations in Hilbert spaces

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Controllability of semilinear stochastic delay evolution equations in Hilbert spaces

Controllability of semilinear stochastic delay evolution equations in Hilbert spaces

... given Hilbert space X with an infinitesimal generator of an analytic semigroup S(t), t ≥ ...the Hilbert space X, and the control function u( · ) is in L 2 (J, U ), the Hilbert space of admissible ... See full document

10

Approximate controllability of fractional impulsive partial neutral integrodifferential inclusions with infinite delay in Hilbert spaces

Approximate controllability of fractional impulsive partial neutral integrodifferential inclusions with infinite delay in Hilbert spaces

... exact controllability of nonlinear systems represented by fractional evolution equations or inclusions in abstract spaces has been considered in many publications; see ...exact ... See full document

31

Approximate Controllability of Impulsive Fractional Partial Neutral Quasilinear Functional Differential Inclusions with Infinite Delay in Hilbert Spaces

Approximate Controllability of Impulsive Fractional Partial Neutral Quasilinear Functional Differential Inclusions with Infinite Delay in Hilbert Spaces

... approximate controllability of impulsive fractional partial neutral quasilinear infinite delay differential inclusions in Hilbert spaces, which is expressed in the form ...approximate ... See full document

14

Approximate controllability  of nonlocal impulsive fractional neutral stochastic integro-differential equations   with state-dependent delay in Hilbert spaces

Approximate controllability of nonlocal impulsive fractional neutral stochastic integro-differential equations with state-dependent delay in Hilbert spaces

... existence, controllability and other qualitative and quantitative attributes of stochastic FDEs are the most progressing area of pursuit, for instance, see [5, 12, 16, 17, 25, ...approximate ... See full document

28

APPROXIMATE CONTROLLABILITY OF SEMILINEAR CONTROL SYSTEMS IN HILBERT SPACES

APPROXIMATE CONTROLLABILITY OF SEMILINEAR CONTROL SYSTEMS IN HILBERT SPACES

... Finally, methods for numerical solutions of the evolution differential equations have been studied extensively by many researchers (see [7]-[9], [11]- [32] and the references therein). Before going to ... See full document

19

Exact null controllability of semi-linear stochastic differential systems with nonlocal condition

Exact null controllability of semi-linear stochastic differential systems with nonlocal condition

... controllability of the semi-linear integrodifferential systems in Hilbert spaces. They pointed out that the bounded invertibility assumption is rather strong and can only be applied to finite ... See full document

14

Approximate controllability of multi-term time-fractional stochastic  differential inclusions with nonlocal conditions

Approximate controllability of multi-term time-fractional stochastic differential inclusions with nonlocal conditions

... the controllability of linear stochastic systems in finite-dimensional ...approximate controllability of neutral stochastic functional differential systems with infinite delay in ... See full document

13

Approximate controllability of some nonlinear systems in Banach spaces

Approximate controllability of some nonlinear systems in Banach spaces

... approximate controllability problem for semilinear ab- stract systems in Banach spaces has not been investigated ...approximate controllability of semilinear abstract systems in Banach ... See full document

13

Approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions

Approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions

... approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions and infinite delay in Hilbert spaces is ...and ... See full document

13

The existence and uniqueness of the solution for nonlinear elliptic equations in Hilbert spaces

The existence and uniqueness of the solution for nonlinear elliptic equations in Hilbert spaces

... The plan of the paper is as follows. In the next section we introduce the basic notations and two basic lemmas. Section  is devoted to proving the regularity of the mild solution for infinite horizon stochastic ... See full document

23

Controllability problem for fractional integrodifferential evolution systems of mixed type with the measure of noncompactness

Controllability problem for fractional integrodifferential evolution systems of mixed type with the measure of noncompactness

... of controllability was firstly introduced by Kalman in ...in controllability results of systems represented by differential equations, integrodifferential equations, impulsive equations, ... See full document

15

Approximate controllability of impulsive fractional stochastic differential equations with state dependent delay

Approximate controllability of impulsive fractional stochastic differential equations with state dependent delay

... fractional evolution equations with a compact analytic ...approximate controllability of a class of fractional integro-differential evolution ...the stochastic case, by using the ... See full document

12

On the controllability of some partial functional integrodifferential equations with infinite delay in Banach spaces

On the controllability of some partial functional integrodifferential equations with infinite delay in Banach spaces

... Integrodifferential equations appear in many areas of applications such as Electronics, Engi- neering, Physical Sciences, Fluid Dynamics, ...infinite delay, using the resolvent operator theory, see ... See full document

19

Remarks on the approximate and null controllability of semilinear parabolic equations

Remarks on the approximate and null controllability of semilinear parabolic equations

... We will say that (3) is approximately controllable (resp. null controllable) at time T if R(y 0 ; T ) is dense in H (resp. R(y 0 ; T ) 3 0) for every y 0 ∈ H . Then, under condition (2), system (3) is approximately and ... See full document

9

Approximate controllability and complete controllability of semilinear fractional functional differential systems with control

Approximate controllability and complete controllability of semilinear fractional functional differential systems with control

... The controllability theory plays an important role in abstract control ...complete controllability of control systems (see [1–12] and the references ...complete controllability for various ... See full document

18

Controllability for a new class of fractional neutral integro differential evolution equations with infinite delay and nonlocal conditions

Controllability for a new class of fractional neutral integro differential evolution equations with infinite delay and nonlocal conditions

... controllability for a new class of fractional neutral integro-differential evolution systems with infinite delay and nonlocal conditions. The results are obtained here under some weakly noncompactness ... See full document

22

Semilinear evolution equations with distributed measures

Semilinear evolution equations with distributed measures

... Finally, the Mönch fixed point theorem asserts that the operator N possesses fixed points, which means that our evolution problem has L ∞ -solutions. Remark  Theorem . in [] presents a situation where f ... See full document

18

About periodicity of impulsive evolution equations through fixed point theory

About periodicity of impulsive evolution equations through fixed point theory

... It is well known that fixed point theorems play key roles in obtaining the existence of solutions, positive solution, periodic solutions, and almost periodic solutions to various equations or systems. There are ... See full document

16

Stochastic delay evolution equations driven by sub fractional Brownian motion

Stochastic delay evolution equations driven by sub fractional Brownian motion

... under suitable conditions on the operator A, the coefficient functions f , g, and the initial value ϕ. Here S H Q (t) denotes an Q-sub-fBm with H ∈ (/, ). The purpose of this paper is to investigate the existence and ... See full document

17

Controllability of Neutral Impulsive Differential Inclusions with Non Local Conditions

Controllability of Neutral Impulsive Differential Inclusions with Non Local Conditions

... 0] M. Benchohra and S. K. Ntouyas, “Existence an Co trollability Results f ar Differential Inclusions with Nonlocal Cond in Banach Spaces,” Journal of Applie lysis, Vol. 1 No. 8, 2002, pp. 45-52. [11] M. Benchohra ... See full document

11

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