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LAGRANGIAN SYSTEMS WITH NON-SMOOTH CONSTRAINTS

Part of: General theory in ordinary differential equations

Published online by Cambridge University Press:  10 June 2016

ANDREY VOLKOV  and
OLEG ZUBELEVICH
ANDREY VOLKOV
Affiliation:
Department of Theoretical mechanics, Machine-building technologies and equipment Faculty, Moscow State Technological University Stankin, Vadkovskii Lane, 1, 127994, Moscow, Russia e-mail: volkov411@gmail.com
OLEG ZUBELEVICH
Affiliation:
Department of Theoretical mechanics, Mechanics and Mathematics Faculty, M. V. Lomonosov Moscow State University, Vorob'evy gory, MGU, 119899, Moscow, Russia e-mail: ozubel@yandex.ru
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Abstract

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The Lagrange-d'Alembert equations with constraints belonging to H1,∞ have been considered. A concept of weak solutions to these equations has been built. A global existence theorem for Cauchy problem has been obtained.

MSC classification

Primary: 34A36: Discontinuous equations
Secondary: 34A12: Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 59 , Issue 2 , May 2017 , pp. 289 - 298
Copyright
Copyright © Glasgow Mathematical Journal Trust 2016 

References

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