A sufficient condition for the existence of multiple periodic solutions of differential inclusions

• Autorzy: Ralf Bader
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 35
• Numer: 1
• Strony: 129-138

Daty

wydano

1996

Twórcy

autor

Ralf Bader

• Mathematisches Institut der Universität München, Theresienstraße 39, D-80333 München, Germany

Bibliografia

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• [2] K. Deimling, Multivalued differential equations, de Gruyter, 1992.
• [3] J. Dugundji, Modified Vietoris theorems for homotopy, Fund. Math. 66 (1970), 223-235.
• [4] L. Górniewicz, Topological approach to differential inclusions, in: Topological Methods in Differential Equations and Inclusions, A. Granas, M. Frigon (eds.), NATO ASI Series C 472, Kluwer Academic Publ., 1995, 129-190.
• [5] L. Górniewicz, A. Granas and W. Kryszewski, On the homotopy method in the fixed point index theory of multivalued mappings of compact ANR's, J. Math. Anal. Appl. 161 (1991), 457-473.
• [6] L. Górniewicz, P. Nistri and P. Zecca, Control problems on closed subsets of $ℝ^n$ via feedback controls, Topol. Methods Nonlinear Anal., 2 (1993), 163-178.
• [7] L. Górniewicz and S. Plaskacz, Periodic solutions of differential inclusions in $ℝ^n$, Bollettino U.M.I., (7), 7-A (1993), 409-420.
• [8] D. M. Hyman, On decreasing sequences of compact absolute retracts, Fund. Math., 64 (1969), 91-97.
• [9] M. A. Krasnosel'skiĭ and P. P. Zabreĭko, Geometrical methods of nonlinear analysis, Springer Verlag, 1984
• [10] R. W. Leggett and L. R. Williams, Multiple positive fixed points of nonlinear operators on ordered Banach spaces, Indiana Univ. Math. J., 28 (1979), 673-689.
• [11] S. Plaskacz, On the solution sets for differential inclusions, Bollettino U.M.I., (7), 6-A (1992), 387-394.