Continuability and boundedness of multi-delay functional integro-differential equations of the second order

被引：44

作者：

Graef, John R. ^{[1
]}

Tunc, Cemil ^{[2
]}

机构：

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

[2] Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2015年 / 109卷 / 01期

关键词：

Functional integro-differential equation; Several delays; Stability; Boundedness; Lyapunov-Krasovskii functional;

D O I：

10.1007/s13398-014-0175-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the authors discuss the continuability and boundedness of solutions of a second order functional integro-differential equation with multiple delays. The proof involves the construction of a Lyapunov-Krasovskii type functional.

引用

页码：169 / 173

页数：5

共 7 条

[1]

Ahmad S., 1999, With Applications in Biology and Engineering

[2]

Burton T.A., 1985, Stability and Periodic Solutions of Ordinary and Functional Differential Equations

[3]

El'sgol'ts LE, 1973, MATH SCI ENG

[4]

KOLMANOvSKII V., 1999, Introduction to the Theory and Applications of Functional Differential Equations

[5]

Krasovskii N.N., 1963, STABILITY MOTION APP

[6]

Napoles J.E., 2001, Quaest. Math, V24, P213, DOI [10.1080/16073606.2001.9639209, DOI 10.1080/16073606.2001.9639209]

[7]

Yoshizawa T., 1966, STABILITY THEORY LIA

← 1 →