Existence and attractivity results on semi-infinite intervals for integrodifferential equations with non-instantaneous impulsions in Banach spaces

被引：0

作者：

Bensalem, Abdelhamid ^{[1
]}

Salim, Abdelkrim ^{[1
,2
]}

Benchohra, Mouffak ^{[1
]}

Karapinar, Erdal ^{[3
,4
]}

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

[3] China Med Univ, Dept Med Res, Taichung, Taiwan

[4] Cankaya Univ, Dept Math, TR-06790 Etimesgut, Ankara, Turkiye

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2024年 / 32卷 / 01期

关键词：

Attractivity; fixed point theorem; integrodi erential equation; measures of noncompactness; mild solution; resolvent operator; impulses; FRACTIONAL DIFFERENTIAL-EQUATIONS; RESOLVENT OPERATORS; INTEGRAL-EQUATIONS;

D O I：

10.2478/auom-2024-0004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the existence of mild solutions of a non-instantaneous integrodi erential equations on unbounded domain via resolvent operators in Banach space. For our proofs, we employ the semigroups theory and Schauder's fixed point theorem. Moreover, we show that solutions of our problem are attractive. Finally, an example is given to validate the theory part.

引用

页码：65 / 84

页数：20

共 32 条

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