Convergence of Antiperiodic Boundary Value Problems for First-Order Integro-Differential Equations

Convergence of Antiperiodic Boundary Value Problems for First-Order Integro-Differential Equations

In this paper, we investigate the convergence of approximate solutions for a class of first-order integro-differential equations with antiperiodic boundary value conditions. By introducing the definitions of the coupled lower and upper solutions which are different from the former ones and establish...

Full description

Bibliographic Details
Main Authors: Yameng Wang, Juan Zhang, Yufeng Sun
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/7254254
id doaj-3bca4603ad7b42c2b914dcd1ea8ac72c
record_format Article
spelling doaj-3bca4603ad7b42c2b914dcd1ea8ac72c2020-11-25T02:50:11ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/72542547254254Convergence of Antiperiodic Boundary Value Problems for First-Order Integro-Differential EquationsYameng Wang0Juan Zhang1Yufeng Sun2College of Mathematics and Information Science, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Information Science, Hebei University, Baoding 071002, ChinaSchool of Mathematics and Statistics, Shaoguan University, Shaoguan 512005, ChinaIn this paper, we investigate the convergence of approximate solutions for a class of first-order integro-differential equations with antiperiodic boundary value conditions. By introducing the definitions of the coupled lower and upper solutions which are different from the former ones and establishing some new comparison principles, the results of the existence and uniqueness of solutions of the problem are given. Finally, we obtain the uniform and rapid convergence of the iterative sequences of approximate solutions via the coupled lower and upper solutions and quasilinearization method. In addition, an example is given to illustrate the feasibility of the method.http://dx.doi.org/10.1155/2020/7254254
collection DOAJ
language English
format Article
sources DOAJ
author Yameng Wang
Juan Zhang
Yufeng Sun
spellingShingle Yameng Wang
Juan Zhang
Yufeng Sun
Convergence of Antiperiodic Boundary Value Problems for First-Order Integro-Differential Equations
Discrete Dynamics in Nature and Society
author_facet Yameng Wang
Juan Zhang
Yufeng Sun
author_sort Yameng Wang
title Convergence of Antiperiodic Boundary Value Problems for First-Order Integro-Differential Equations
title_short Convergence of Antiperiodic Boundary Value Problems for First-Order Integro-Differential Equations
title_full Convergence of Antiperiodic Boundary Value Problems for First-Order Integro-Differential Equations
title_fullStr Convergence of Antiperiodic Boundary Value Problems for First-Order Integro-Differential Equations
title_full_unstemmed Convergence of Antiperiodic Boundary Value Problems for First-Order Integro-Differential Equations
title_sort convergence of antiperiodic boundary value problems for first-order integro-differential equations
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2020-01-01
description In this paper, we investigate the convergence of approximate solutions for a class of first-order integro-differential equations with antiperiodic boundary value conditions. By introducing the definitions of the coupled lower and upper solutions which are different from the former ones and establishing some new comparison principles, the results of the existence and uniqueness of solutions of the problem are given. Finally, we obtain the uniform and rapid convergence of the iterative sequences of approximate solutions via the coupled lower and upper solutions and quasilinearization method. In addition, an example is given to illustrate the feasibility of the method.
url http://dx.doi.org/10.1155/2020/7254254
work_keys_str_mv AT yamengwang convergenceofantiperiodicboundaryvalueproblemsforfirstorderintegrodifferentialequations
AT juanzhang convergenceofantiperiodicboundaryvalueproblemsforfirstorderintegrodifferentialequations
AT yufengsun convergenceofantiperiodicboundaryvalueproblemsforfirstorderintegrodifferentialequations
_version_ 1715373986009841664

Similar Items