Result: Upper and lower solution method for control of second-order Kolmogorov type systems

Title:
Upper and lower solution method for control of second-order Kolmogorov type systems
Authors:
Alexandru Hofman
Source:
Journal of Numerical Analysis and Approximation Theory, Vol 54, Iss 1 (2025)
Publisher Information:
Academia Romana Filiala Cluj, 2025.
Publication Year:
2025
Subject Terms:
control problem, QA1-939, Kolmogorov system, approximation algorithm, Mathematics
Document Type:
Academic journal Article
ISSN:
2501-059X
2457-6794
DOI:
10.33993/jnaat541-1515
Access URL:
https://doaj.org/article/45bb0581924440ecb585722625b4c3be
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....bfdd7c22ffd5ddbff37d7b17cce1e4d7
Database:
OpenAIRE

Further Information

In this paper, an upper and lower solution method for the control of second-order Kolmogorov systems is introduced. Two iterative algorithms, one exact and one approximate, are proposed and their convergence is studied. The technique is based on Perov's fixed point theorem, matrices convergent to zero, and the use of Bielecki's norm.