On minimal periods of functional-differential equations and difference inclusions

• Autorzy: M. Medveď
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991
• Tom: 54
• Numer: 3
• Strony: 263-270

Daty

wydano

1991

otrzymano

1989-06-20

poprawiono

1990-08-01

Twórcy

autor

M. Medveď

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

Bibliografia

• [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