Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces

IF 0.6 Q3 MATHEMATICS Cubo Pub Date : 2023-08-05 DOI:10.56754/0719-0646.2502.231
A. Bensalem, Abdelkrim Salim, B. Ahmad, M. Benchohra
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引用次数: 0

Abstract

In this paper, we investigate existence of mild solutions to a non-instantaneous integrodifferential equation via resolvent operators in the sense of Grimmer in Fréchet spaces. Utilizing the technique of measures of noncompactness in conjunction with the Darbo's fixed point theorem, we present sufficient criteria ensuring the controllability of the given problem. An illustrative example is also discussed.
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fr空间中非瞬时脉冲积分微分方程的存在性和可控性
本文研究了一类非瞬时积分微分方程在grimer意义下的解算子的存在性。利用非紧性测度技术,结合Darbo不动点定理,给出了保证给定问题可控性的充分判据。文中还讨论了一个说明性的例子。
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来源期刊
Cubo
Cubo Mathematics-Logic
CiteScore
1.20
自引率
0.00%
发文量
22
审稿时长
20 weeks
期刊最新文献
On generalized Hardy spaces associated with singular partial differential operators Stability of ternary antiderivation in ternary Banach algebras via fixed point theorem Maximum, anti-maximum principles and monotone methods for boundary value problems for Riemann-Liouville fractional differential equations in neighborhoods of simple eigenvalues Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps
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