Remarks on the periodic boundary value problems for integrodifferential equations of Volterra type
type: Item
instance of: scholarly article
title: Remarks on the periodic boundary value problems for integrodifferential equations of Volterra type
zbMATH Open document ID: 1068.45016
author: Wan Zhuang
author: Yubo Chen
author: Jie Chen
publication date: 2005-03-08T00:00:00Z
review text: The authors use the monotone iterative technique to investigate the existence of extreme solutions to Volterra-type integro-differential equations. The paper begins by presenting a comparison result that is used in the subsequent analysis. The main result of the paper is the construction of monotone sequences \(\{\alpha_n\}\) and \(\{\beta_n\}\) whose uniform limits are, respectively, extremal solutions of the boundary value problem.
reviewed by: Neville J. Ford
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45M15
zbMATH DE Number: 2142414
zbMATH Keywords: integro-differential equation
zbMATH Keywords: boundary value problems
zbMATH Keywords: monotone iterative technique
zbMATH Keywords: Volterra type integro-differential equations
zbMATH Keywords: extreme solutions
MaRDI profile type: Publication
full work available at URL: j.camwa.2004.06.011
OpenAlex ID: W2063100210
cites work: Periodic boundary value problems for integro-differential equations of volterra type
cites work: Monotone method for integrodifferential equation with periodic boundary conditions
cites work: On monotone iterative method for periodic boundary value problems of nonlinear integro-differential equations
cites work: Q4887699
cites work: The extreme solutions of PBVP for integro-differential equations with Carathéodory functions
cites work: Q4308706
DOI: 10.1016/J.CAMWA.2004.06.011
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 2142414