Results 1 to 10 of about 44 (44)

Solvability of the abstract evolution equations in Ls-spaces with critical temporal weights

Open Mathematics, 2021
This paper deals with the abstract evolution equations in Ls{L}^{s}-spaces with critical temporal weights. First, embedding and interpolation properties of the critical Ls{L}^{s}-spaces with different exponents ss are investigated, then solvability of ...
Zhang Qinghua, Tan Zhizhong
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Estimates for evolutionary partial differential equations in classical function spaces

Forum of Mathematics, Sigma, 2023
We establish new local and global estimates for evolutionary partial differential equations in classical Banach and quasi-Banach spaces that appear most frequently in the theory of partial differential equations.
Alejandro J. Castro, Anders Israelsson, Wolfgang Staubach, Madi Yerlanov   +3 more
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On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis

Open Mathematics, 2020
Given the abstract evolution equation y′(t)=Ay(t),t∈ℝ,y^{\prime} (t)=Ay(t),t\in {\mathbb{R}}, with a scalar type spectral operator A in a complex Banach space, we find conditions on A, formulated exclusively in terms of the location of its spectrum in ...
Markin Marat V.
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On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator of orders less than one

Open Mathematics, 2019
It is shown that, if all weak solutions of the evolution ...
Markin Marat V.
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On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the open semi-axis

Open Mathematics, 2019
Given the abstract evolution ...
Markin Marat V.
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Applications of Stochastic Semigroups to Queueing Models

Annales Mathematicae Silesianae, 2019
Non-markovian queueing systems can be extended to piecewise-deterministic Markov processes by appending supplementary variables to the system. Then their analysis leads to an infinite system of partial differential equations with an infinite number of ...
Gwiżdż Piotr
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Semigroup estimates and fast-slow dynamics in parabolic-hyperbolic systems

Advances in Nonlinear Analysis, 2018
We present a general procedure to describe slow dynamics in parabolic-hyperbolic systems, under suitable assumptions on the terms appearing in the equations. In particular, our strategy relies in semigroup estimates for the evolution system associated to
Strani Marta
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Exact controllability of fractional neutral integro-differential systems with state-dependent delay in Banach spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (
Kailasavalli S., Baleanu D., Suganya S., Mallika Arjunan M.   +3 more
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Existence results for fractional neutral integro-differential systems with nonlocal condition through resolvent operators

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
The manuscript is primarily concerned with the new existence results for fractional neutral integro-differential equation (FNIDE) with nonlocal conditions (NLCs) in Banach spaces.
Mallika D., Baleanu D., Suganya S., Arjunan M. Mallika   +3 more
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With Andrzej Lasota There and Back Again

Annales Mathematicae Silesianae
The paper below is a written version of the 17th Andrzej Lasota Lecture presented on January 12th, 2024 in Katowice. During the lecture we tried to show the impact of Andrzej Lasota’s results on the author’s research concerning various fields of ...
Rudnicki Ryszard
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