Three Positive Periodic Solutions for a Class of Higher-Dimensional Functional Differential Equations with Impulses on Time Scales

Three Positive Periodic Solutions for a Class of Higher-Dimensional Functional Differential Equations with Impulses on Time Scales

<p>Abstract</p> <p>By using a multiple fixed point theorem (Avery-Peterson fixed point theorem) for cones, some criteria are established for the existence of three positive periodic solutions for a class of higher-dimensional functional differential equations with impulses on time...

Full description

Bibliographic Details
Main Authors: Li Yongkun, Hu Meng
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Advances in Difference Equations
Online Access:http://www.advancesindifferenceequations.com/content/2009/698463
id doaj-a27ac57599674b7cb4dfd5c5ef6720bd
record_format Article
spelling doaj-a27ac57599674b7cb4dfd5c5ef6720bd2020-11-24T22:10:37ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472009-01-0120091698463Three Positive Periodic Solutions for a Class of Higher-Dimensional Functional Differential Equations with Impulses on Time ScalesLi YongkunHu Meng<p>Abstract</p> <p>By using a multiple fixed point theorem (Avery-Peterson fixed point theorem) for cones, some criteria are established for the existence of three positive periodic solutions for a class of higher-dimensional functional differential equations with impulses on time scales of the following form: <inline-formula> <graphic file="1687-1847-2009-698463-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1847-2009-698463-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1847-2009-698463-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1847-2009-698463-i4.gif"/></inline-formula> where <inline-formula> <graphic file="1687-1847-2009-698463-i5.gif"/></inline-formula> is a nonsingular matrix with continuous real-valued functions as its elements. Finally, an example is presented to illustrate the feasibility and effectiveness of the results.</p>http://www.advancesindifferenceequations.com/content/2009/698463
collection DOAJ
language English
format Article
sources DOAJ
author Li Yongkun
Hu Meng
spellingShingle Li Yongkun
Hu Meng
Three Positive Periodic Solutions for a Class of Higher-Dimensional Functional Differential Equations with Impulses on Time Scales
Advances in Difference Equations
author_facet Li Yongkun
Hu Meng
author_sort Li Yongkun
title Three Positive Periodic Solutions for a Class of Higher-Dimensional Functional Differential Equations with Impulses on Time Scales
title_short Three Positive Periodic Solutions for a Class of Higher-Dimensional Functional Differential Equations with Impulses on Time Scales
title_full Three Positive Periodic Solutions for a Class of Higher-Dimensional Functional Differential Equations with Impulses on Time Scales
title_fullStr Three Positive Periodic Solutions for a Class of Higher-Dimensional Functional Differential Equations with Impulses on Time Scales
title_full_unstemmed Three Positive Periodic Solutions for a Class of Higher-Dimensional Functional Differential Equations with Impulses on Time Scales
title_sort three positive periodic solutions for a class of higher-dimensional functional differential equations with impulses on time scales
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2009-01-01
description <p>Abstract</p> <p>By using a multiple fixed point theorem (Avery-Peterson fixed point theorem) for cones, some criteria are established for the existence of three positive periodic solutions for a class of higher-dimensional functional differential equations with impulses on time scales of the following form: <inline-formula> <graphic file="1687-1847-2009-698463-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1847-2009-698463-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1847-2009-698463-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1847-2009-698463-i4.gif"/></inline-formula> where <inline-formula> <graphic file="1687-1847-2009-698463-i5.gif"/></inline-formula> is a nonsingular matrix with continuous real-valued functions as its elements. Finally, an example is presented to illustrate the feasibility and effectiveness of the results.</p>
url http://www.advancesindifferenceequations.com/content/2009/698463
work_keys_str_mv AT liyongkun threepositiveperiodicsolutionsforaclassofhigherdimensionalfunctionaldifferentialequationswithimpulsesontimescales
AT humeng threepositiveperiodicsolutionsforaclassofhigherdimensionalfunctionaldifferentialequationswithimpulsesontimescales
_version_ 1725807456260456448

Similar Items