Existence of three periodic positive solutions for a class of integral equations with parameters
type: Item
instance of: scholarly article
title: Existence of three periodic positive solutions for a class of integral equations with parameters
zbMATH Open document ID: 1104.45006
author: Shugui Kang
author: Guang Zhang
author: Bao Shi
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-11-15T00:00:00Z
review text: The authors obtain some existence criteria of three periodic positive solutions for a class of abstract integral equations. The existence criteria are based on the Leggett-Williams fixed point theorem [cf. \textit{D.J. Guo}, Nonlinear functional analysis, The Science and Technology Press in Shandong, China (1985)]. Using the existence results for abstract integral equations, the population models are also considered. The existence of one or two or three positive periodic solutions for functional differential equations have also been studied extensively by many authors [e.g. \textit{X. L. Liu, G. Zhang}, and \textit{S. S. Cheng}, Abstr. Appl. Anal. 10, 897--905 (2004; Zbl 1085.34546)].
reviewed by: Kun Soo Chang
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 45M15
Mathematics Subject Classification ID: 45M20
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 5072974
zbMATH Keywords: abstract integral equation
zbMATH Keywords: periodic positive solution
zbMATH Keywords: cone
zbMATH Keywords: fixed point theorem
MaRDI profile type: Publication
full work available at URL: j.jmaa.2005.10.072
OpenAlex ID: W1996897560
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DOI: 10.1016/J.JMAA.2005.10.072
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description: scientific article; zbMATH DE number 5072974