EXISTENCE OF RESOLVENT FOR VOLTERRA INTEGRAL EQUATIONS ON TIME SCALES

被引：35

作者：

Adivar, Murat ^{[1
]}

Raffoul, Youssef N. ^{[2
]}

机构：

[1] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey

[2] Univ Dayton, Dept Math, Dayton, OH 45469 USA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2010年 / 82卷 / 01期

关键词：

existence; resolvent; shift operator; time scales; Volterra integral equation;

D O I：

10.1017/S0004972709001166

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the concept of 'shift operators' in order to establish sufficient conditions for the existence of the resolvent for the Volterra integral equation x(t) = f(t) + integral(t)(t0)a(t, s)x(s)Delta s, t(0) is an element of T-kappa, on time scales. The paper will serve as the foundation for future research on the qualitative analysis of solutions of Volterra integral equations on time scales, using the notion of the resolvent.

引用

页码：139 / 155

页数：17