Positive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scales

Abstract This paper is concerned with the Lotka-Volterra-like functional differential equations with impulses and infinite distributed time delays on time scales. By applying a fixed point theorem of strict-set contractions, some sufficient conditions have been established to guarantee the existence...

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Main Author:	Kaihong Zhao
Format:	Article
Language:	English
Published:	SpringerOpen 2017-10-01
Series:	Advances in Difference Equations
Subjects:	positive periodic solution Lotka-Volterra-like system impulsive and time-delay functional differential equation theorem of strict-set contractions time scale
Online Access:	http://link.springer.com/article/10.1186/s13662-017-1381-1

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spelling	doaj-a55e227722634f7fa753cfca4f7c6c302020-11-24T21:42:54ZengSpringerOpenAdvances in Difference Equations1687-18472017-10-012017112110.1186/s13662-017-1381-1Positive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scalesKaihong Zhao0Department of Applied Mathematics, Kunming University of Science and TechnologyAbstract This paper is concerned with the Lotka-Volterra-like functional differential equations with impulses and infinite distributed time delays on time scales. By applying a fixed point theorem of strict-set contractions, some sufficient conditions have been established to guarantee the existence of periodic solutions. As applications, the existence of positive periodic solutions is given for some common Lotka-Volterra systems on time scales.http://link.springer.com/article/10.1186/s13662-017-1381-1positive periodic solutionLotka-Volterra-like systemimpulsive and time-delay functional differential equationtheorem of strict-set contractionstime scale
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kaihong Zhao
spellingShingle	Kaihong Zhao Positive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scales Advances in Difference Equations positive periodic solution Lotka-Volterra-like system impulsive and time-delay functional differential equation theorem of strict-set contractions time scale
author_facet	Kaihong Zhao
author_sort	Kaihong Zhao
title	Positive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scales
title_short	Positive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scales
title_full	Positive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scales
title_fullStr	Positive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scales
title_full_unstemmed	Positive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scales
title_sort	positive periodic solutions of lotka-volterra-like impulsive functional differential equations with infinite distributed time delays on time scales
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2017-10-01
description	Abstract This paper is concerned with the Lotka-Volterra-like functional differential equations with impulses and infinite distributed time delays on time scales. By applying a fixed point theorem of strict-set contractions, some sufficient conditions have been established to guarantee the existence of periodic solutions. As applications, the existence of positive periodic solutions is given for some common Lotka-Volterra systems on time scales.
topic	positive periodic solution Lotka-Volterra-like system impulsive and time-delay functional differential equation theorem of strict-set contractions time scale
url	http://link.springer.com/article/10.1186/s13662-017-1381-1
work_keys_str_mv	AT kaihongzhao positiveperiodicsolutionsoflotkavolterralikeimpulsivefunctionaldifferentialequationswithinfinitedistributedtimedelaysontimescales
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Positive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scales

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