FIRST-ORDER DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS

TitleFIRST-ORDER DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
Publication TypeJournal Article
Year of Publication2015
AuthorsJANKOWSKI TADEUSZ
JournalDynamic Systems and Applications
Volume24
Start Page195
Pagination16
Date Published2015
ISSN1056-2176
AMS Subject Classification34A40, 34A45, 34K10
Abstract

We study a first-order boundary value problem subject to some boundary conditions given by Riemann-Stieltjes integrals. Using a monotone iterative method, we formulate sufficient conditions which guarantee the existence of extremal or quasi-solutions in the corresponding region bounded by upper and lower solutions of our problems. The case when a unique solution exists is also investigated. Some examples are given to illustrate our results.

PDFhttps://acadsol.eu/dsa/articles/24/15-dsa-195-210.pdf
Refereed DesignationRefereed