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Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces
Author
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-24
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We consider a class of nonlinear discrete-time Volterra equations in Banach spaces.
Estimates for the norm of operator-valued functions and the resolvents of quasi-nilpotent operators are used to find sufficient conditions that all solutions of such equations are elements of an appropriate Banach space.
These estimates give us explicit boundedness conditions.
The boundedness of solutions to Volterra equations with infinite delay is also investigated.
American Psychological Association (APA)
Medina, Rigoberto. 2016. Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces. Abstract and Applied Analysis،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1079422
Modern Language Association (MLA)
Medina, Rigoberto. Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces. Abstract and Applied Analysis No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1079422
American Medical Association (AMA)
Medina, Rigoberto. Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces. Abstract and Applied Analysis. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1079422
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1079422