On the boundedness of the motions of a periodic process

Nicolae Pavel

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1973)

  • Volume: 54, Issue: 1, page 25-33
  • ISSN: 0392-7881

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Pavel, Nicolae. "On the boundedness of the motions of a periodic process." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 54.1 (1973): 25-33. <http://eudml.org/doc/293920>.

@article{Pavel1973,
author = {Pavel, Nicolae},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {1},
number = {1},
pages = {25-33},
publisher = {Accademia Nazionale dei Lincei},
title = {On the boundedness of the motions of a periodic process},
url = {http://eudml.org/doc/293920},
volume = {54},
year = {1973},
}

TY - JOUR
AU - Pavel, Nicolae
TI - On the boundedness of the motions of a periodic process
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1973/1//
PB - Accademia Nazionale dei Lincei
VL - 54
IS - 1
SP - 25
EP - 33
LA - eng
UR - http://eudml.org/doc/293920
ER -

References

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  2. BILLOTTI, J. E. and LA SALLE, J. P., Dissipative periodic processes, «Bull. Amer. Math. Soc.», 771082-1088 (1971). MR284682DOI10.1090/S0002-9904-1971-12879-3
  3. CONLEY, C. C. and MILLER, R. K., Asymptotic stability without uniform stability: almost periodic coefficients, «J. Differential Equations», 1 (3) 333-336 (1965). Zbl0145.11401MR201737DOI10.1016/0022-0396(65)90011-2
  4. GERSTEIN, M. and KRASNOSEL'SKII, M. A., The structure of the solution set of dissipative equations (Russian), «Dokl. Akad. Nauk SSSR», 182 (2), 267-269 (1968). MR244531
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  6. HALE, J. K., LA SALLE, J. P. and SLEMROD, M., Theory of a general class of dissipative processes, «J. Math. Anal. Appl.», 39, 177-191 (1972). MR314029DOI10.1016/0022-247X(72)90233-8
  7. LA SALLE, J. P., Stability Theory for ordinary differential equations, «J. Differential Equations», 4, 57-65 (1968). MR222402DOI10.1016/0022-0396(68)90048-X
  8. LEVINSON, N., Transformation theory of nonlinear differential equations of the second order, «Ann. of Math.», 45, 723-737 (1944). Zbl0061.18910MR11505DOI10.2307/1969299
  9. PAVEL, N., Remarque sur les systèmes dissipatifs, «Bull. Math. Soc. Sci. Math. R.S.R.», 9 (57), n. 3, 207-209 (1965). MR218659
  10. PAVEL, N., On dissipative systems, «Boll. U.M.I.», 4, 701-707 (1971). Zbl0235.34079MR298114
  11. PAVEL, N., On the boundedness of solutions of a system of differential equations, «Tôhoku Math. J.», 24, 21-32 (1972). MR335945DOI10.2748/tmj/1178241586
  12. PAVEL, N., On the behaviour of the solutions of some differential equations, «Rev. Roum. Math. Pures et Appl.», 17 (6), 901-907 (1972). Zbl0252.34039MR335946
  13. PAVEL, N., A generalization of ultimately bounded systems, «Anal. Sci. Univ. Iași», 18 (1), 81-86 (1972). Zbl0366.34041MR304792
  14. PAVEL, N., Existence and behaviour of solutions of some abstract differential equations, «Ph. D. Dissertation», University of Iassy, 1971. 
  15. PLISS, V. A., Non local problems of the theory of oscillations (Russian), Moscow, 1964. MR171962
  16. RESSIG, R., SANSONE, G. and CONTI, R., Nichtlineare Differential gleichungen höhrer Ordnung, Edizioni Cremonese, Roma, 1969. MR241749
  17. SLEMROD, M., Asymptotic behaviour of periodic dynamical systems on Banach spaces, «Ann. Math. Pures ed Appl.», 86, 325-330 (1970). Zbl0205.43105MR296464DOI10.1007/BF02415724
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  19. YOSHIZAWA, T., Stability Theory by Liapunov's Second Method, Tokyo, 1966. Zbl0144.10802MR208086

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