ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH AND WITHOUT RETARDATION

被引：9

作者：

Graef, John R. ^{[1
]}

Tunc, Osman ^{[2
]}

机构：

[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

[2] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, Van, Turkey

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2021年 / 33卷 / 03期

关键词：

Volterra integro-differential equations; retardation; asymptotic stability; integrability; boundedness; Lyapunov-Krasovskii type functionals;

D O I：

10.1216/jie.2021.33.289

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Asymptotic stability, uniform stability, integrability, and boundedness of solutions of Volterra integro- differential equations with and without constant retardation are investigated using a new type of Lyapunov- Krasovskii functionals. An advantage of the new functionals used here is that they eliminate using Gronwall's inequality. Compared to related results in the literature, the conditions here are more general, simple, and convenient to apply. Examples to show the application of the theorems are included.

引用

页码：289 / 300

页数：12

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