Controllability of Mild Solutions for Second-Order Neutral Evolution Equations with State-Dependent Delay

IF 0.7 4区数学 Q2 MATHEMATICS

Complex Analysis and Operator Theory Pub Date : 2024-04-10 DOI:10.1007/s11785-024-01524-2

Chahrazed Boudefla, Fatiha Sahraoui, Selma Baghli-Bendimerad

引用次数: 0

Abstract

The objective of our research is to demonstrate the controllability of mild solutions for a specific class of second-order neutral functional evolution equations that involve state-dependent delay. To achieve this, we rely on Avramescu’s nonlinear alternative theorem and leverage cosine function theory.

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具有状态延迟的二阶中性演化方程温和解的可控性

我们的研究目标是证明一类特定的二阶中性函数演化方程的温和解的可控性，该方程涉及与状态相关的延迟。为此，我们依靠阿夫拉梅斯库的非线性替代定理，并利用余弦函数理论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Analysis and Operator Theory 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

107

审稿时长

3 months

期刊介绍： Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.