Page 1 Next

Displaying 1 – 20 of 72

Showing per page

An exotic flow on a compact surface

N. Markley, M. Vanderschoot (2000)

Colloquium Mathematicae

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 ο m e g a -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 2 with equally striking...

Boundary value problems with compatible boundary conditions

George L. Karakostas, P. K. Palamides (2005)

Czechoslovak Mathematical Journal

If Y is a subset of the space n × n , we call a pair of continuous functions U , V Y -compatible, if they map the space n into itself and satisfy U x · V y 0 , for all ( x , y ) Y with x · y 0 . (Dot denotes inner product.) In this paper a nonlinear two point boundary value problem for a second order ordinary differential n -dimensional system is investigated, provided the boundary conditions are given via...

Chordal cubic systems.

Marc Carbonell, Jaume Llibre (1989)

Publicacions Matemàtiques

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

A. Benaouda, A. Gmira, B. Hamri (2005)

Annales mathématiques Blaise Pascal

On étudie la classification des solutions du problème elliptique ( u p - 2 u ) ( t ) + u q - 1 u ( t ) - f ( t ) u m - 1 u ( t ) = 0 , t > 0 , q > 1 , p m + 1 > 2 et f 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 p > m + 1 et q > ( p - 1 ) ( m + 1 ) / p 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...

Currently displaying 1 – 20 of 72

Page 1 Next