ArticleOriginal scientific text

Title

On minimal periods of functional-differential equations and difference inclusions

Authors 1

Affiliations

  1. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Czechoslovakia

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.

Bibliography

  1. S. Busenberg and M. Martelli, Bounds for the periodic orbits of dynamical systems, J. Differential Equations 67 (1987), 359-371.
  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.
  3. S. Busenberg, D. Fisher and M. Martelli, Minimal periods of discrete and smooth orbits, Amer. Math. Monthly 96 (1989), 5-17.
  4. A. Lasota and J. A. Yorke, Bounds for periodic solutions of differential equations in Banach spaces, J. Differential Equations 10 (1971), 83-91.
  5. T. Y. Li, Bounds for the periods of periodic solutions of differential delay equations, J. Math. Anal. Appl. 49 (1975), 124-129.
  6. Z. Nitecki, A periodic attractor determined by one function, J. Differential Equations 29 (1978), 214-234.
  7. W. Słomczyński, Bounds for periodic solutions of difference and differential equations, Comment. Math. 26 (1986), 325-330.
  8. J. A. Yorke, Periods of periodic solutions and Lipschitz constant, Proc. Amer. Math. Soc. 22 (1969), 509-512
Pages:
263-270
Main language of publication
English
Received
1989-06-20
Accepted
1990-08-01
Published
1991
Exact and natural sciences