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

Title:

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

Creator:

Kučera, Milan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:1861879d-7344-455f-bd20-ef2a38fe140c
uuid:1861879d-7344-455f-bd20-ef2a38fe140c

Subject:

bifurcation, periodic solutions, variational inequality, differential inequality, and finite dimensional space

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

A bifurcation problem for variational inequalities \[ U(t) \in K, (\dot{U}(t)-B_\lambda U(t) - G(\lambda ,U(t)),\ Z - U(t))\ge 0\ \text{for} \text{all} \ Z\in K, \text{a.a.} \ t \ge 0 \] is studied, where $K$ is a closed convex cone in $\mathbb{R}^\kappa $, $\kappa \ge 3$, $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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

225-244

Source:

Czechoslovak Mathematical Journal | 2000 Volume:50 | Number:2

Harvested from:

CDK

Metadata only:

false