Pavel: On the boundedness of the motions of a periodic process

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 Serie 8 54 (1973), fasc. n.1, p. 25-33, (English)
pdf (650 Kb), djvu (973 Kb). | MR 0355244 | Zbl 0288.34065

Sunto

Riallacciandosi alla teoria delle equazioni differenziali non autonome l'Autore discute alcuni concetti di limitatezza del moto di un processo periodico in uno spazio di Banach.

Referenze Bibliografiche

[1] F. F. BROWDER, On a generalization of the Schauder fixed point theorem, «Duke Math. J.», 26, 291-303 (1956). | MR 105629

[2] J. E. BILLOTTI and J. P. LA SALLE, Dissipative periodic processes, «Bull. Amer. Math. Soc.», 77 1082-1088 (1971). | fulltext (doi) | MR 284682

[3] C. C. CONLEY and R. K. MILLER, Asymptotic stability without uniform stability: almost periodic coefficients, «J. Differential Equations», 1 (3) 333-336 (1965). | fulltext (doi) | MR 201737 | Zbl 0145.11401

[4] M. GERSTEIN and M. A. KRASNOSEL'SKII, The structure of the solution set of dissipative equations (Russian), «Dokl. Akad. Nauk SSSR», 182 (2), 267-269 (1968). | MR 244531

[5] J. K. HALE, Dynamical systems and stability, «J. Math. Anal. Appl.», 26, 39-59 (1969). | fulltext (doi) | MR 244582

[6] J. K. HALE, J. P. LA SALLE and M. SLEMROD, Theory of a general class of dissipative processes, «J. Math. Anal. Appl.», 39, 177-191 (1972). | fulltext (doi) | MR 314029

[7] J. P. LA SALLE, Stability Theory for ordinary differential equations, «J. Differential Equations», 4, 57-65 (1968). | fulltext (doi) | MR 222402

[8] N. LEVINSON, Transformation theory of nonlinear differential equations of the second order, «Ann. of Math.», 45, 723-737 (1944). | fulltext (doi) | MR 11505 | Zbl 0061.18910

[9] N. PAVEL, Remarque sur les systèmes dissipatifs, «Bull. Math. Soc. Sci. Math. R.S.R.», 9 (57), n. 3, 207-209 (1965). | MR 218659

[10] N. PAVEL, On dissipative systems, «Boll. U.M.I.», 4, 701-707 (1971). | MR 298114 | Zbl 0235.34079

[11] N. PAVEL, On the boundedness of solutions of a system of differential equations, «Tôhoku Math. J.», 24, 21-32 (1972). | fulltext (doi) | MR 335945

[12] N. PAVEL, On the behaviour of the solutions of some differential equations, «Rev. Roum. Math. Pures et Appl.», 17 (6), 901-907 (1972). | MR 335946 | Zbl 0252.34039

[13] N. PAVEL, A generalization of ultimately bounded systems, «Anal. Sci. Univ. Iași», 18 (1), 81-86 (1972). | MR 304792 | Zbl 0366.34041

[14] N. PAVEL, Existence and behaviour of solutions of some abstract differential equations, «Ph. D. Dissertation», University of Iassy, 1971.

[15] V. A. PLISS, Non local problems of the theory of oscillations (Russian), Moscow, 1964. | MR 171962

[16] R. RESSIG, G. SANSONE and R. CONTI, Nichtlineare Differential gleichungen höhrer Ordnung, Edizioni Cremonese, Roma, 1969. | MR 241749

[17] M. SLEMROD, Asymptotic behaviour of periodic dynamical systems on Banach spaces, «Ann. Math. Pures ed Appl.», 86, 325-330 (1970). | fulltext (doi) | MR 296464 | Zbl 0205.43105

[18] T. YOSHIZAWA, Liapunov's function and boundedness of solutions, «Funkcial. Ekvac.», 2, 95-142 (1959). | MR 114981 | Zbl 0093.28005

[19] T. YOSHIZAWA, Stability Theory by Liapunov's Second Method, Tokyo, 1966. | MR 208086 | Zbl 0144.10802

bdim: Biblioteca Digitale Italiana di Matematica

Un progetto SIMAI e UMI

Referenza completa

Sunto

Referenze Bibliografiche