Abstract
In this paper we present for the solutions of a planar system of differential equations, extremal principle, Nicolescu-type and Butlewski-type separation theorems. Some applications and examples are given.
Authors
V. Ilea
(Babes Bolyai Univ.)
D. Otrocol
(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy,
Keywords
Nonlinear second order differential system; extremal principle; zeros of solutions; Sturm-type theorem; Nicolescu-type theorem; Butlewski-type theorem
Cite this paper as:
V. Ilea, D. Otrocol, Some properties of solutions to a planar system of nonlinear differential equations, Studia Univ. Babes-Bolyai Math., 63 (2018) no. 2, pp. 225-234.
doi: 10.24193/subbmath.2018.2.06
About this paper
Journal
Studia Universitatis Babes-Bolyai Mathematica
Publisher Name
Univ. Babes-Bolyai, Romania
Print ISSN
0252-1938
Online ISSN
2065-961X
MR
MR3819870