A contribution to the phase theory of a linear second-order differential equation in the Jacobian form
A Note on the Covergence of Solutions of a System of Differential Equations. (Short Communication).
A Note on the Covergence of Solutions of a System of Differential Equations.
A note on the oscillation of solutions of the differential equation with an almost periodic coefficient
A Theorem on Non-Associative Algebras and its Application to Differential Equations.
Algebraic properties of phases of the differential equation
Algebraická štruktúra množiny hlavných hyperbolických fáz diferenciálnych rovníc v intervale
An exotic flow on a compact surface
In 1988 Anosov [1] published the construction of an example of a flow (continuous real action) on a cylinder or annulus with a phase portrait strikingly different from our normal experience. It contains orbits whose -limit sets contain a non-periodic orbit along with a simple closed curve of fixed points, but these orbits do not wrap down on this simple closed curve in the usual way. In this paper we modify some of Anosov’s methods to construct a flow on a surface of genus with equally striking...
An ordinary differential equation homeomorphic with an essential control system
Application of Chapligin's theorem to autonomous systems.
Associated linear differential equations to linear second order differential equations of Sturm, Jacobi and general form
Asymptotic and integral equivalence of multivalued differential systems
Boundary value problems with compatible boundary conditions
If is a subset of the space , we call a pair of continuous functions , -compatible, if they map the space into itself and satisfy , for all with . (Dot denotes inner product.) In this paper a nonlinear two point boundary value problem for a second order ordinary differential -dimensional system is investigated, provided the boundary conditions are given via...
Chordal cubic systems.
We classify the phase portraits of the cubic systems in the plane such that they do not have finite critical points, and the critical points on the equator of the Poincaré sphere are isolated and have linear part non-identically zero.
Classification des solutions d’un problème elliptique fortement non linéaire
On étudie la classification des solutions du problème elliptiqueoù et une fonction changeant de signe. En utilisant une méthode de tire, On montre qu’en partant avec une dérivée initiale nulle toutes les solutions sont globales. De plus si et l’ensemble des solutions est constitué d’une seule solution à support compact et de deux familles de solutions ; celles qui sont strictement positives et celles qui changent de signes. On montre aussi que ces deux familles tendent vers l’infini quand...
Common increasing dispersions of certain linear second order differential equations
Die algebraische Struktur der allgemeinen Kummerschen Transformationen
Dissipative systems
Eine Äquivalenzrelation in der Kategorie der Phasenfunktionen
Equation coefficient of which has a small modulus