Geodesic
LAGRANGIAN SYSTEMS WITH NON-SMOOTH CONSTRAINTS
Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 289-298

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
VOLKOV, ANDREY; ZUBELEVICH, OLEG. LAGRANGIAN SYSTEMS WITH NON-SMOOTH CONSTRAINTS. Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 289-298. doi: 10.1017/S0017089516000173
@article{10_1017_S0017089516000173,
     author = {VOLKOV, ANDREY and ZUBELEVICH, OLEG},
     title = {LAGRANGIAN {SYSTEMS} {WITH} {NON-SMOOTH} {CONSTRAINTS}},
     journal = {Glasgow mathematical journal},
     pages = {289--298},
     year = {2017},
     volume = {59},
     number = {2},
     doi = {10.1017/S0017089516000173},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000173/}
}
TY  - JOUR
AU  - VOLKOV, ANDREY
AU  - ZUBELEVICH, OLEG
TI  - LAGRANGIAN SYSTEMS WITH NON-SMOOTH CONSTRAINTS
JO  - Glasgow mathematical journal
PY  - 2017
SP  - 289
EP  - 298
VL  - 59
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000173/
DO  - 10.1017/S0017089516000173
ID  - 10_1017_S0017089516000173
ER  - 
%0 Journal Article
%A VOLKOV, ANDREY
%A ZUBELEVICH, OLEG
%T LAGRANGIAN SYSTEMS WITH NON-SMOOTH CONSTRAINTS
%J Glasgow mathematical journal
%D 2017
%P 289-298
%V 59
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000173/
%R 10.1017/S0017089516000173
%F 10_1017_S0017089516000173

[1] 1. Bloch, A., Crouch, P., Baillieul, J. and Marsden, J., Nonholonomic Mechanics and Control (Springer, New York, 2003). Google Scholar

[2] 2. Bownds, M., A uniqueness theorem for non-Lipschitzian systems of ordinary differential equations, Funkcialaj Ekvacioj 13 (1970), 61–65. Google Scholar

[3] 3. Diperna, R. J. and Lions, P. L., Ordinary differential equations, transport theory and Sobolev spaces, Invent. Math. 98 (1989), 511–547. Google Scholar

[4] 4. Kozlov, V. V. and Treshchev, D. V., BILLIARDS: A genetic introduction to the dynamics of systems with impacts, Translations of Mathematical Monographs, vol. 89 (American Mathematical Society, Providence, RI, 1991). Google Scholar | DOI

[5] 5. Kamke, E., Differentialgleichungen reeler functionen, Academische Verlagagesellschaft (Giest and Portig, Leipzig, 1930), 96–100. Google Scholar

[6] 6. Levy, P., Provessus stochastiques et mouvement Brownien (Gauthier-Villars, Paris, 1948), 46–47. Google Scholar

[7] 7. Nejmark, J., Nejmark, Y. and Fufaev, N., Dynamics of nonholonomic systems (American Mathematical Society, Providence, RI, 1972). Google Scholar

[8] 8. Ramankutty, P., Kamke's uniqueness theorem, J. London Math. Soc. (2), 22 (1980), 110–116. Google Scholar

[9] 9. Robertson, and Robertson, W., Topological vector spaces (Cambridge University Press, Cambridge, 1973). Google Scholar

[10] 10. Yosida, K., Functional analysis (Springer-Verlag, Berlin, 1980). Google Scholar

Cité par Sources :