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

Andrzej Pelczar

Annales Polonici Mathematici (1996)

  • Volume: 63, Issue: 2, page 115-136
  • ISSN: 0066-2216

Abstract

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

How to cite

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Andrzej Pelczar. "Uniform stability and semi-stability of motions in dynamical systems on metric spaces." Annales Polonici Mathematici 63.2 (1996): 115-136. <http://eudml.org/doc/262614>.

@article{AndrzejPelczar1996,
abstract = {Some stability properties of motions in pseudo-dynamical systems and semi-systems are studied.},
author = {Andrzej Pelczar},
journal = {Annales Polonici Mathematici},
keywords = {stability; semi-stability; limit set; prolongational limit set; generalized prolongational limit set; asymptotic equivalence; semistability of orbits; pseudo-dynamical semi-systems; limit sets; Lyapunov functions},
language = {eng},
number = {2},
pages = {115-136},
title = {Uniform stability and semi-stability of motions in dynamical systems on metric spaces},
url = {http://eudml.org/doc/262614},
volume = {63},
year = {1996},
}

TY - JOUR
AU - Andrzej Pelczar
TI - Uniform stability and semi-stability of motions in dynamical systems on metric spaces
JO - Annales Polonici Mathematici
PY - 1996
VL - 63
IS - 2
SP - 115
EP - 136
AB - Some stability properties of motions in pseudo-dynamical systems and semi-systems are studied.
LA - eng
KW - stability; semi-stability; limit set; prolongational limit set; generalized prolongational limit set; asymptotic equivalence; semistability of orbits; pseudo-dynamical semi-systems; limit sets; Lyapunov functions
UR - http://eudml.org/doc/262614
ER -

References

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  1. [1] N. P. Bhatia and G. P. Szegö, Stability Theory of Dynamical Systems, Springer, Berlin, 1970. 
  2. [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. Zbl0589.34041
  3. [3] A. Pelczar, Limit sets and prolongations in generalized (multivalued) semi-systems, preprint WS-363, Vrije Universiteit Amsterdam, Faculteit Wiskunde en Informatica, 1990. 
  4. [4] A. Pelczar, A contribution to the theory of generalized semi-systems: asymptotic equivalence and generalized prolongational limit sets, to appear. 
  5. [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. [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. [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. 

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