BOUNDARY VALUE PROBLEMS WITH ADVANCED ARGUMENTS INVOLVING UPPER AND LOWER SOLUTIONS IN REVERSE ORDER

TitleBOUNDARY VALUE PROBLEMS WITH ADVANCED ARGUMENTS INVOLVING UPPER AND LOWER SOLUTIONS IN REVERSE ORDER
Publication TypeJournal Article
Year of Publication2010
AuthorsJANKOWSKI TADEUSZ, JANKOWSKI ROBERT
JournalDynamic Systems and Applications
Volume19
Start Page577
Pagination8
Date Published2010
ISSN1056-2176
AMS Subject Classification34A10, 34A45
Abstract

In this paper, we discuss boundary value problems for first order differential-integral equations with advanced arguments. We formulate sufficient conditions, under which such problems have a minimal and a maximal solution in a corresponding region bounded by upper-lower solutions. To get our results we apply a new approach based on Heikkila and V.Lakshmikantham theorem [1]. An example illustrates the results obtained.
PDFhttps://acadsol.eu/dsa/articles/19/40-DSA-295.pdf
Refereed DesignationRefereed