LAGRANGIAN SYSTEMS WITH NON-SMOOTH CONSTRAINTS
@article{Volkov2014LAGRANGIANSW, title={LAGRANGIAN SYSTEMS WITH NON-SMOOTH CONSTRAINTS}, author={Andrey Volkov and O. E. Zubelevich}, journal={Glasgow Mathematical Journal}, year={2014}, volume={59}, pages={289 - 298} }
Abstract The Lagrange-d'Alembert equations with constraints belonging to H 1,∞ have been considered. A concept of weak solutions to these equations has been built. A global existence theorem for Cauchy problem has been obtained.
References
SHOWING 1-10 OF 11 REFERENCES
Ordinary differential equations, transport theory and Sobolev spaces
- Mathematics
- 1989
SummaryWe obtain some new existence, uniqueness and stability results for ordinary differential equations with coefficients in Sobolev spaces. These results are deduced from corresponding results on…
Nonholonomic mechanics and control
- Mathematics, Engineering
- 2003
Introduction.- Mathematical Preliminaries.- Basic Concepts in Geometric Mechanics.- Introduction to Aspects of Geometric Control Theory.- Nonholonomic Mechanics.- Control of Mechanical and…
Dynamics of Nonholonomic Systems
- Mathematics
- 1972
The goal of this book is to give a comprehensive and systematic exposition of the mechanics of nonholonomic systems, including the kinematics and dynamics of nonholonomic systems with classical…
Kamke's Uniqueness Theorem
- Mathematics
- 1980
A generalization of Kamke's uniqueness theorem in ordinary differential equations is obtained for the limit Cauchy problem, viz x'{t) = f(t, x(t)), x{t) -> x0 as 1J10, where / and x take values in an…
Functional Analysis I
- Mathematics
- 2017
A vector space over a field K (R or C) is a set X with operations vector addition and scalar multiplication satisfy properties in section 3.1. [1] An inner product space is a vector space X with…
Differentialgleichungen reeler functionen
- Academische Verlagagesellschaft (Giest and Portig, Leipzig,
- 1930
A genetic introduction to the dynamics of systems with impacts, Translations of Mathematical Monographs, vol
- 89
- 1991