ABSTRACT VOLTERRA EQUATIONS WITH STATE-DEPENDENT DELAY

被引：2

作者：

Lizama, Carlos ^{[1
]}

Velasco, M. Pilar ^{[2
]}

机构：

[1] Univ Santiago Chile, Dept Matemat & Ciencia Comp, Estac Cent, Santiago, Chile

[2] Ctr Univ Def IUMA, Area Matemat Estadist & Invest Operat, Zaragoza 50090, Spain

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2015年 / 27卷 / 02期

关键词：

Volterra Equations; resolvent family; mild solution; fixed point; state-dependent delay; measure of noncompactness; Banach spaces; FUNCTIONAL-DIFFERENTIAL EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; EXISTENCE;

D O I：

10.1216/JIE-2015-27-2-219

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the theory of resolvent families, fixed point theorems and measures of noncompactness, we prove the existence of mild solutions on a compact interval for a semilinear Volterra equation with state-dependent delay. An example is given.

引用

页码：219 / 231

页数：13

共 32 条

[1]

Abbas S., 2010, FRACT CALC APPL ANAL, V13, P225

[2]

AGARWAL R, 2001, FIXED POINT THEORY A

[3] On fractional integro-differential equations with state-dependent delay [J].