Geodesic
Examples of bifurcation of periodic solutions to variational inequalities in $\mathbb R^\kappa $
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 2, pp. 225-244 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 34A25, 34A40, 34C23, 37G15, 47J20, 49J40
Keywords: bifurcation; periodic solutions; variational inequality; differential inequality; finite dimensional space 
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Kučera, Milan. Examples of bifurcation of periodic solutions to variational inequalities in $\mathbb R^\kappa $. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 2, pp. 225-244. http://geodesic.mathdoc.fr/item/CMJ_2000_50_2_a0/

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