LOCAL-PERIODIC SOLUTIONS FOR FUNCTIONAL DYNAMIC EQUATIONS WITH INFINITE DELAY ON CHANGING-PERIODIC TIME SCALES

被引：6

作者：

Wang, Chao ^{[1
]}

Agarwal, Ravi P. ^{[2
,3
]}

O'Regan, Donal ^{[4
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China

[2] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

[3] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[4] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

MATHEMATICA SLOVACA | 2018年 / 68卷 / 06期

关键词：

Changing-periodic time scales; local phase space; functional dynamic equations; infinite delay; local-periodic solutions; OSCILLATION CRITERIA; NEURAL-NETWORKS; MODEL;

D O I：

10.1515/ms-2017-0190

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by using the concept of changing-periodic time scales and composition theorem of time scales introduced in 2015, we establish a local phase space for functional dynamic equations with infinite delay (FDEID) on an arbitrary time scale with a bounded graininess function mu. Through Krasnosel'skii's fixed point theorem, some sufficient conditions for the existence of local-periodic solutions for FDEID are established for the first time. This research indicates that one can extract a local-periodic solution for dynamic equations on an arbitrary time scale with a bounded graininess function mu through some index function. (C) 2018 Mathematical Institute Slovak Academy of Sciences

引用

页码：1397 / 1420

页数：24

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