Convergence of Antiperiodic Boundary Value Problems for First-Order Integro-Differential Equations
Joint Authors
Wang, Yameng
Zhang, Juan
Sun, Yufeng
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-25
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wang, Yameng& Zhang, Juan& Sun, Yufeng. 2020. Convergence of Antiperiodic Boundary Value Problems for First-Order Integro-Differential Equations. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1153385
Modern Language Association (MLA)
Wang, Yameng…[et al.]. Convergence of Antiperiodic Boundary Value Problems for First-Order Integro-Differential Equations. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1153385
American Medical Association (AMA)
Wang, Yameng& Zhang, Juan& Sun, Yufeng. Convergence of Antiperiodic Boundary Value Problems for First-Order Integro-Differential Equations. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1153385
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153385