Some properties of solutions of the nonlinear first order system of differential equation

Veronica Ana Ilea; Diana Otrocol

doi:10.24193/subbmath.2018.2.06

Some properties of solutions of the nonlinear first order system of differential equation

Authors

Veronica Ana Ilea "Babes-Bolyai" University Cluj-Napoca
Diana Otrocol

DOI:

https://doi.org/10.24193/subbmath.2018.2.06

Keywords:

Nonlinear second order differential system, extremal principle, zeros of solutions, Sturm-type theorem, Nicolescu-type theorem, Butlewski- type theorem.

Abstract

In this paper we present for the solutions of the nonlinear first
order system of differential equation, extremal principle, Nicolescu-type and
Butlewski-type separation theorems. Some applications and examples are
given.