Henstock-Kurzweil-Pettis integral and weak topologies in nonlinear integral equations on time scales

被引：5
|
作者：
Satco, Bianca-Renata [1 ]
Turcu, Corneliu-Octavian [1 ]
机构：
[1] Stefan Cel Mare Univ, Fac Elect Engn & Comp Sci, Suceava, Romania
来源：
MATHEMATICA SLOVACA | 2013年 / 63卷 / 06期
关键词：
Henstock-Kurzweil-Pettis integral; nonlinear integral equation; time scales; fixed point theorem; DIFFERENTIAL-EQUATIONS; BANACH-SPACES; LEBESGUE; DELTA;
D O I：
10.2478/s12175-013-0175-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The goal of the present work is to give an existence result for a nonlinear integral equation on time scales by considering the Banach space endowed with its weak topology. More precisely, we obtain the existence of weakly continuous solutions for an integral equation that has on the right hand side the sum of two operators, one of them continuous while the other one satisfies a partial continuity condition and some integrability (in a nonabsolute sense) assumptions. (C) 2013 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码：1347 / 1360
页数：14
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