Uniform stability and semi-stability of motions in dynamical systems on metric spaces

• Autorzy: Andrzej Pelczar
• Języki publikacji: EN

Abstrakty

EN

Some stability properties of motions in pseudo-dynamical systems and semi-systems are studied.

Słowa kluczowe

EN

stability; semi-stability; limit set; prolongational limit set; generalized prolongational limit set; asymptotic equivalence

Kategorie tematyczne

• 54H20: Topological dynamics
• 34D05: Asymptotic properties
• 34D20: Stability

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996
• Tom: 63
• Numer: 2
• Strony: 115-136

Daty

wydano

1996

otrzymano

1994-07-07

poprawiono

1995-01-10

poprawiono

1995-09-05

Twórcy

autor

Andrzej Pelczar

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Bibliografia

• [1] N. P. Bhatia and G. P. Szegö, Stability Theory of Dynamical Systems, Springer, Berlin, 1970.
• [2] A. Pelczar, Semi-stability of motions and regular dependence of limit sets on points in general semi-systems, Ann. Polon. Math. 42 (1983), 263-282.
• [3] A. Pelczar, Limit sets and prolongations in generalized (multivalued) semi-systems, preprint WS-363, Vrije Universiteit Amsterdam, Faculteit Wiskunde en Informatica, 1990.
• [4] A. Pelczar, A contribution to the theory of generalized semi-systems: asymptotic equivalence and generalized prolongational limit sets, to appear.
• [5] J. Sabine de Lis, An elementary explicit example of unbounded limit behaviour on the plane, Rev. Acad. Canaria Cienc. 5 (1) (1993), 41-46.
• [6] A. Trzepizur, L'équivalence asymptotique au sens de Ważewski: un analogue d'un théorème de Levinson, Bull. Polish Acad. Sci. Math. 36 (1988), 39-46.
• [7] T. Ważewski, Sur la coïncidence asymptotique des intégrales de deux systèmes d'équations différentielles, Bull. Acad. Polon. Sci. Lettres Sér. A Sci. Math. 1949, 147-150.