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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.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
DYNAMIC SYSTEMS AND APPLICATIONS
no. 24,
edition 1,
pages 195 - 210,
ISSN: 1056-2176 - Language:
- English
- Publication year:
- 2015
- Bibliographic description:
- Jankowski T.: First-order differential equations with nonlocal boundary conditions// DYNAMIC SYSTEMS AND APPLICATIONS. -Vol. 24, iss. 1 (2015), s.195-210
- Verified by:
- Gdańsk University of Technology
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