Department of Mathematics
University of Ioannina
451 10 Ioannina, Greece
email: gkarako@uoi.gr, gkarako@hotmail.com
George L. Karakostas
Abstract:
We show the existence of nontrivial solutions of a system of nonlocal boundary value
problems for a second order \(n\)-dimensional ordinary differential equation with a
Caratheodory type response. To do this, we apply the Krasnosel'skii (contraction+compact)
fixed point theorem. Examples in two and three dimensional cases illustrate the
results, where the best conditions are suggested.
Submitted July 29, 2025. Published November 25, 2025.
Math Subject Classifications: 34B15, 34B18, 34K40.
Key Words: Nonlocal boundary value problems; Krasnoselskii's fixed point theorem; Caratheodory functions; Riemann-Stieltjes integral; contractions; compact operators; positive solutions.
DOI: 10.58997/ejde.2025.112
Show me the PDF file (443 KB), TEX file for this article.
|
George L. Karakostas Department of Mathematics University of Ioannina 451 10 Ioannina, Greece email: gkarako@uoi.gr, gkarako@hotmail.com |
|---|
Return to the EJDE web page