Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulsions: Existence and Qualitative Results

被引：11
|
作者：
Bensalem, Abdelhamid [1 ]
Salim, Abdelkrim [1 ,2 ]
Benchohra, Mouffak [1 ]
N'Guerekata, Gaston M. [3 ]
机构：
[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, Sidi Bel Abbes 22000, Algeria
[2] Hassiba Benbouali Univ Chlef, Fac Technol, Chlef 02000, Algeria
[3] Morgan State Univ, Dept Math, NEERLab, 1700 E Cold Spring Lane, Baltimore, MD 21252 USA
来源：
FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 10期
关键词：
attractivity; controllability; fixed point; infinite delay; integrodifferential equation; measures of noncompactness; mild solution; resolvent operator; state-dependent delay; DIFFERENTIAL-EQUATIONS; RESOLVENT OPERATORS; EVOLUTION-EQUATIONS; INTEGRAL-EQUATIONS;
D O I：
10.3390/fractalfract6100615
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper addresses some existence, attractivity and controllability results for semilinear integrodifferential equations having non-instantaneous impulsions on an infinite interval via resolvent operators in case of neutral and state-dependent delay problems. Our criteria were obtained by applying a Darbo's fixed-point theorem combined with measures of noncompactness. The obtained result is illustrated by an example at the end.
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页数：27
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