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A periodic boundary value problem in Hilbert space

Boris Rudolf (1994)

Mathematica Bohemica

In the paper some existence results for periodic boundary value problems for the ordinary differential equation of the second order in a Hilbert space are given. Under some auxiliary assumptions the set of solutions is compact and connected or it is convex.

A principle of linearization in theory of stability of solutions of variational inequalities

Jiří Neustupa (1995)

Mathematica Bohemica

It is shown that the uniform exponential stability and the uniform stability at permanently acting disturbances of a sufficiently smooth but not necessarily steady-state solution of a general variational inequality is a consequence of the uniform exponential stability of a zero solution of another (so called linearized) variational inequality.

A remark about a Galerkin method

Gerhard Ströhmer (1996)

Banach Center Publications

It is shown that the approximating equations whose existence is required in the author's previous work on partially regular weak solutions can be constructed without any additional assumption about the equation itself. This leads to a variation of a Galerkin method.

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