ON NON-OSCILLATION FOR TWO DIMENSIONAL SYSTEMS OF NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS
Loading...
Files
Date
2024-11-28
Authors
Opluštil, Zdeněk
ORCID
0000-0003-4422-2951Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
UNIV MISKOLC INST MATH
Altmetrics
Abstract
The paper studies the non-oscillatory properties of two-dimensional systems of non-linear differential equations u ' = g(t)|v|1/alpha sgn v, v ' = -p(t)|u|(alpha)sgn u, where the functions g: [0, +infinity[-> [0, +infinity[, p: [0, +infinity[-> & Ropf; are locally integrable and alpha > 0. We are especially interested in the case of integral(+infinity)g(s) ds < +infinity. In the paper, new non-oscillation criteria are established. Among others, they generalize well-known results for linear systems as well as second order linear and also half-linear differential equations. The criteria presented complement the results of Hartman-Wintner's type for the system in question.
Description
Citation
Miskolc Mathematical Notes (electronic version). 2024, vol. 25, issue 2, p. 943-954.
https://real.mtak.hu/210795/
https://real.mtak.hu/210795/
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en