Results 271 to 280 of about 4,368,379 (347)
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Stochastic Evolution Inclusions

, 2017
In this chapter, we investigate the topological structure of solution sets for stochastic evolution inclusions in Hilbert spaces in cases that semigroup is compact and noncompact, respectively. It is shown that the solution set is nonempty, compact and \(R_\delta \) -set which means that the solution set may not be a singleton but, from the point of ...
Yong Zhou, Rongnian Wang, Li Peng
semanticscholar   +2 more sources

Impulsive Evolution Inclusions

, 2017
In this chapter, the existence of mild solutions for impulsive differential inclusions in a reflexive Banach space is obtained. Weakly compact valued nonlinear terms are considered, combined with strongly continuous evolution operators generated by the linear part.
Yong Zhou, Rongnian Wang, Li Peng
semanticscholar   +2 more sources

Comparison theorems for evolution inclusions with maximal monotone operators. $L^2$-theory

Sbornik: Mathematics, 2023
An evolution inclusion with time-dependent family of maximal monotone operators in considered in a separable Hilbert space. If the elements with minimum norm of the family of maximal monotone operators satisfy certain growth conditions, then the domains ...
A. Tolstonogov
semanticscholar   +1 more source

A note on approximate controllability of second‐order neutral stochastic delay integro‐differential evolution inclusions with impulses

Mathematical methods in the applied sciences, 2022
In this work, we offer a set of appropriate conditions for the approximate controllability of second‐order impulsive neutral stochastic integro‐differential evolution inclusions with infinite delay.
S. Sivasankar, R. Udhayakumar
semanticscholar   +1 more source

Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space

International journal of nonlinear sciences and numerical simulation, 2022
This manuscript investigates the issue of existence results for fractional differential evolution inclusions of order r ∈ (1, 2) in the Banach space. In the beginning, we analyze the existence results by referring to the fractional calculations, cosine ...
M. Mohan Raja   +4 more
semanticscholar   +1 more source

Approximate controllability of fractional evolution inclusions with damping

Chaos, Solitons & Fractals, 2021
The approximate controllability of fractional evolution inclusions with damping is studied in this paper. Under a compactness assumption on the ( α , μ ) − regularized resolvent families of operators, some properties of operators associated with the ...
Xuemei Li, Xinge Liu, Meilan Tang
semanticscholar   +1 more source

Results on approximate controllability results for second‐order Sobolev‐type impulsive neutral differential evolution inclusions with infinite delay

Numerical Methods for Partial Differential Equations, 2020
In this article, we determine a set of appropriate conditions for approximate controllability of second‐order Sobolev‐type impulsive neutral differential evolution inclusions with infinite delay.
V. Vijayakumar   +3 more
semanticscholar   +1 more source

Approximate controllability of second order nonlocal neutral differential evolution inclusions

IMA Journal of Mathematical Control and Information, 2020
In our manuscript, we organize a group of sufficient conditions of approximate controllability for second order nonlocal neutral differential evolution inclusions. Next, we develop the result to analyze approximate controllability of impulsive systems.
V. Vijayakumar   +2 more
semanticscholar   +1 more source

Results on existence and controllability results for fractional evolution inclusions of order 1 < r < 2 with Clarke's subdifferential type

Numerical Methods for Partial Differential Equations, 2020
In our paper, we primarily concentrate on the existence and controllability results for fractional evolution inclusions of order 1 
M. Mohan Raja   +3 more
semanticscholar   +1 more source

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