Existence results for integro-differential equations with reflection

Miraoui, Mohsen (author), Repovš, Dušan (author)

We prove several important results concerning existence and uniqueness of pseudo almost automorphic (paa) solutions with measure for integro-differential equations with reflection. We use the properties of almost automorphic functions with measure and the Banach fixed point theorem, and we discuss two linear and nonlinear cases. We conclude with an example and some observations.

• Language: English
• Keywords: differential equation with reflection, integro-differential equation, positive measure, pseudo almost automorphic solution
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2021
• Number of pages: Str. 919-934
• Numbering: Vol. 42, no. 8
• PID: 20.500.12556/RUL-128544
• UDC: 517.968.7
• ISSN on article: 0163-0563
• DOI: 10.1080/01630563.2021.1933524
• COBISS.SI-ID: 66819075
• Publication date in RUL: 19.07.2021

Record is a part of a journal

• Title: Numerical functional analysis and optimization
• Shortened title: Numer. funct. anal. optim.
• Publisher: Taylor & Francis
• ISSN: 0163-0563
• COBISS.SI-ID: 3835737

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• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.