Sul problema del rimbalzo in un insieme convesso

Marco Degiovanni

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1982)

  • Volume: 73, Issue: 1-4, page 1-5
  • ISSN: 1120-6330

Abstract

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In the present paper we seek the bounce trajectories in a convex set which assume assigned positions in two fixed time instants. We find sufficient conditions in order to obtain the existence of infinitely many bounce trajectories.

How to cite

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Degiovanni, Marco. "Sul problema del rimbalzo in un insieme convesso." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 73.1-4 (1982): 1-5. <http://eudml.org/doc/287288>.

@article{Degiovanni1982,
author = {Degiovanni, Marco},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {bounce problems; convex sets; point mass; interior; elastic rebound condition at the boundary; Cauchy problem; assigned values at two fixed times; sufficient conditions for the existence of infinitely many solutions; solutions as geodesics on a manifold; approximating the natural (irregular) manifold with regular ones},
language = {ita},
month = {7},
number = {1-4},
pages = {1-5},
publisher = {Accademia Nazionale dei Lincei},
title = {Sul problema del rimbalzo in un insieme convesso},
url = {http://eudml.org/doc/287288},
volume = {73},
year = {1982},
}

TY - JOUR
AU - Degiovanni, Marco
TI - Sul problema del rimbalzo in un insieme convesso
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1982/7//
PB - Accademia Nazionale dei Lincei
VL - 73
IS - 1-4
SP - 1
EP - 5
LA - ita
KW - bounce problems; convex sets; point mass; interior; elastic rebound condition at the boundary; Cauchy problem; assigned values at two fixed times; sufficient conditions for the existence of infinitely many solutions; solutions as geodesics on a manifold; approximating the natural (irregular) manifold with regular ones
UR - http://eudml.org/doc/287288
ER -

References

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  7. Buttazzo, G. e Percivale, D. - Sull'approssimazione del problema del rimbalzo unidimensionale, to appear su «Ricerche Mat.». MR682529
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  9. Schwartz, J.T. (1964) - Generalizing the Lusternik-Schnirelman theory of critical points, «Comm. Pure Appl. Mat.», 17, 307-315. Zbl0152.40801MR166796
  10. Serre, J.P. (1951) - Homologie singulière des espaces fibrés, «Ann. Math.», 54, 425-505. Zbl0045.26003MR45386
  11. Arnold, V. e Avez, A. (1967) - Problèmes ergodiques de la mécanique classique, Gauthier-Villars, Paris. Zbl0149.21704MR209436
  12. Arnold, V. (1976) - Les méthodes mathématiques de la mécanique classique, Editions MIR, Moscou. Zbl0385.70001MR474391
  13. Amerio, L. (1976) - Su un problema di vincoli unilaterali per l'equazione non omogenea della corda vibrante, IAC (Ist. Appl. Calcolo «Mauro Picone») Pubblicazioni, serie D, n. 109, 3-11. 
  14. Citrini, C. (1979) - Discontinuous solutions of nonlinear hyperbolic equation with unilateral constraints, «Manuscripta Mat.», 29, 323-352. Zbl0419.35061MR545048DOI10.1007/BF01303634

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