Examples of bifurcation of periodic solutions to variational inequalities in $\bb R ^\kappa$

Autor: Kučera, Milan
Jazyk: angličtina
Předmět:
Druh dokumentu: Non-fiction
ISSN: 0011-4642
Abstrakt: Abstract: A bifurcation problem for variational inequalities \gather U(t) \in K , (\dot U(t)-B_\lambda U(t) - G(\lambda,U(t)), Z - U(t))\ge0 \text{ for all } Z\in K,\text{ a.a. } t \ge0 is studied, where $K$ is a closed convex cone in $\bold R^\kappa$, $\kappa\ge3$, $B_\lambda$ is a $\kappa\times\kappa$ matrix, $G$ is a small perturbation, $\lambda$ a real parameter. The main goal of the paper is to simplify the assumptions of the abstract results concerning the existence of a bifurcation of periodic solutions developed in the previous paper and to give examples in more than three dimensional case.
Databáze: Katalog Knihovny AV ČR