Smooth Continuation for a Model of Unilaterally Supported Beam

0175386 - MU-W 20030139 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Eisner, Jan - Kučera, Milan - Recke, L.
Smooth Continuation for a Model of Unilaterally Supported Beam.
Proceedings of the International Conference Mathematical and Computer Modelling in Science and Engineering in Honour of the 80th Birthday of K. Rektorys. Praha: České vysoké učení technické. Jednota českých matematiků a fyziků. Česká matice technická, 2003, s. 108-112. ISBN 80-7015-912-X.
[Mathematical and Computer Modelling in Science and Engineering. In Honour of the 80th Birthday of K. Rektorys. Praha (CZ), 27.01.2003-30.01.2003]
Grant CEP: GA AV ČR IAA1019202
Výzkumný záměr: CEZ:AV0Z1019905; CEZ:AV0Z1019905
Klíčová slova: smooth continuation * variational inequalities * implicit function theorem
Kód oboru RIV: BA - Obecná matematika

This note concerns a class of parameter dependent variational inequalities including a model of an elastic beam with a unilateral obstacle. A result about smooth continuation of solutions with respect to the parameter is described. Inparticular, the ends of the intervals, where the solutions touch the obstacle,depend smoothly on the parameter. Eventhough the problem is nonsmooth, .......
Trvalý link: http://hdl.handle.net/11104/0072369