On minimal periods of functional-differential equations and difference inclusions

M. Medveď

Annales Polonici Mathematici (1991)

  • Volume: 54, Issue: 3, page 263-270
  • ISSN: 0066-2216

Abstract

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We prove several results on lower bounds for the periods of periodic solutions of some classes of functional-differential equations in Hilbert and Banach spaces and difference inclusions in Hilbert spaces.

How to cite

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M. Medveď. "On minimal periods of functional-differential equations and difference inclusions." Annales Polonici Mathematici 54.3 (1991): 263-270. <http://eudml.org/doc/262490>.

@article{M1991,
abstract = {We prove several results on lower bounds for the periods of periodic solutions of some classes of functional-differential equations in Hilbert and Banach spaces and difference inclusions in Hilbert spaces.},
author = {M. Medveď},
journal = {Annales Polonici Mathematici},
keywords = {lower bounds; periodic solutions; functional-differential equations; Hilbert and Banach spaces; difference inclusions},
language = {eng},
number = {3},
pages = {263-270},
title = {On minimal periods of functional-differential equations and difference inclusions},
url = {http://eudml.org/doc/262490},
volume = {54},
year = {1991},
}

TY - JOUR
AU - M. Medveď
TI - On minimal periods of functional-differential equations and difference inclusions
JO - Annales Polonici Mathematici
PY - 1991
VL - 54
IS - 3
SP - 263
EP - 270
AB - We prove several results on lower bounds for the periods of periodic solutions of some classes of functional-differential equations in Hilbert and Banach spaces and difference inclusions in Hilbert spaces.
LA - eng
KW - lower bounds; periodic solutions; functional-differential equations; Hilbert and Banach spaces; difference inclusions
UR - http://eudml.org/doc/262490
ER -

References

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  1. [1] S. Busenberg and M. Martelli, Bounds for the periodic orbits of dynamical systems, J. Differential Equations 67 (1987), 359-371. Zbl0616.34041
  2. [2] S. Busenberg and M. Martelli, Better bounds for periodic orbits of differential equations in Banach spaces, Proc. Amer. Math. Soc. 86 (1986), 376-378. Zbl0632.34048
  3. [3] S. Busenberg, D. Fisher and M. Martelli, Minimal periods of discrete and smooth orbits, Amer. Math. Monthly 96 (1989), 5-17. Zbl0672.34034
  4. [4] A. Lasota and J. A. Yorke, Bounds for periodic solutions of differential equations in Banach spaces, J. Differential Equations 10 (1971), 83-91. Zbl0261.34035
  5. [5] T. Y. Li, Bounds for the periods of periodic solutions of differential delay equations, J. Math. Anal. Appl. 49 (1975), 124-129. Zbl0308.34060
  6. [6] Z. Nitecki, A periodic attractor determined by one function, J. Differential Equations 29 (1978), 214-234. Zbl0352.58016
  7. [7] W. Słomczyński, Bounds for periodic solutions of difference and differential equations, Comment. Math. 26 (1986), 325-330. Zbl0628.39005
  8. [8] J. A. Yorke, Periods of periodic solutions and Lipschitz constant, Proc. Amer. Math. Soc. 22 (1969), 509-512 Zbl0184.12103

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