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Article
On neutral integrodifferential equations with state-dependent delay in Banach spaces
In this work, we investigate the existence of mild solution for semilinear integro-differential systems and semilinear neutral integro-differential systems with state-dependent delay in Banach spaces. Using Mö...
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Article
On S-asymptotically \(\omega\) -periodic mild solutions of some integrodifferential inclusions of Volterra-type
This work studies the well-posedness of S-asymptotically \(\omega\) ω -perio...
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Article
Nonparametric estimation for stationary and strongly mixing processes on Riemannian manifolds
In this paper, nonparametric estimation for a stationary strongly mixing and manifold-valued process \((X_j)\) ...
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Article
Necessary Conditions of Optimality for Some Stochastic Integrodifferential Equations of Neutral Type on Hilbert Spaces
In this work, we develop the necessary conditions of optimality for partially observed control problems governed by stochastic integrodifferential equations of neutral type on Hilbert spaces driven by relaxed ...
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Article
Measure Theory and Square-Mean Pseudo Almost Periodic and Automorphic Process: Application to Stochastic Evolution Equations
In this work, we establish a new concept of square-mean pseudo almost periodic and automorphic processes using the measure theory. We use the ...
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Article
Neutral Stochastic Integrodifferential Equations Driven by a Fractional Brownian Motion with Impulsive Effects and Time-varying Delays
This paper deals with the existence,uniqueness and asymptotic behaviors of mild solutions to neutral stochastic delay functional integrodifferential equations with impulsive effects, perturbed by a fractional ...
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Article
Existence and stability results for a partial impulsive stochastic integro-differential equation with infinite delay
This article presents the result on existence and stability of mild solutions of stochastic partial differential equations with infinite delay in the phase space
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Article
On the asymptotic stability of impulsive neutral stochastic partial integrodifferential equations with variable delays and Poisson jumps
In this work, we study the existence and asymptotic stability in the \(p\) ...
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Article
Measure theory and \(S^{2}\) -pseudo almost periodic and automorphic process: application to stochastic evolution equations
In this work, we use the measure theory to define and to study the spaces of Stepanov-like \(\mu \) ...
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Article
Exponential stability for some stochastic neutral partial functional integrodifferential equations with delays and Poisson jumps
In this work, we study the existence, uniqueness and exponential stability in mean square of mild solutions for some stochastic neutral partial functional integrodifferential equations with delays and Poisson ...
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Article
Mild solution of neutral stochastic partial functional integrodifferential equations with non-Lipschitz coefficients
The article presents the results on existence and uniqueness of mild solutions to some neutral stochastic partial differential equations under Carathéodory-type conditions. The results are obtained by using th...
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Article
Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion
This paper deals with the existence and uniqueness of mild solutions to neutral stochastic delay functional integro-differential equations perturbed by a fractional Brownian motion B ...
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Chapter and Conference Paper
Averaging of a Parabolic Partial Differential Equation with Random Evolution
In this paper, we study the homogenization problem of a semilinear parabolic second order partial differential equation of the type $$...