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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
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
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
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...