Title | FIRST-ORDER DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS |
Publication Type | Journal Article |
Year of Publication | 2015 |
Authors | JANKOWSKI TADEUSZ |
Journal | Dynamic Systems and Applications |
Volume | 24 |
Start Page | 195 |
Pagination | 16 |
Date Published | 2015 |
ISSN | 1056-2176 |
AMS Subject Classification | 34A40, 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. |
https://acadsol.eu/dsa/articles/24/15-dsa-195-210.pdf | |
Refereed Designation | Refereed |