Ulam-Hyers-Rassias Stability of Neutral Functional Integrodifferential Evolution Equations with Non-instantaneous Impulses on an Unbounded Interval

被引：5

作者：

Bensalem, Abdelhamid ^{[1
]}

Salim, Abdelkrim ^{[1
,2
]}

Benchohra, Mouffak ^{[1
]}

机构：

[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria

[2] Hassiba Benbouali Univ Chlef, Fac Technol, POB 151, Chlef 02000, Algeria

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2023年 / 22卷 / 03期

关键词：

Ulam-Hyers-Rassias stability; Fixed point theorem; Infinite delay; Integrodifferential equation; Measures of noncompactness; Mild solution; Resolvent operator; State-dependent delay; DIFFERENTIAL-EQUATIONS; RESOLVENT OPERATORS; EXISTENCE;

D O I：

10.1007/s12346-023-00787-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence and Ulam-Hyers-Rassias stability results for a class of functional integrodifferential evolution equations with state-dependent delay and non-instantaneous impulsions on infinite intervals via resolvent operators in the sense of Grimmer. Our analysis is based on fixed point theorem with measures of noncompactness and Picard operators. Moreover, an illustrative example is considered to support our new results.

引用

页数：29

共 63 条

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