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

 Access to full text

 Full (PDF)

1. [1] R. Bader and W. Kryszewski, Fixed-point index for compositions of set-valued maps with proximally ∞-connected values on arbitrary ANR's, Set-Valued Analysis 2 (1994), 459-480. Zbl0846.55001
2. [2] K. Deimling, Multivalued differential equations, de Gruyter, 1992. 
3. [3] J. Dugundji, Modified Vietoris theorems for homotopy, Fund. Math. 66 (1970), 223-235. Zbl0196.26801
4. [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. Zbl0834.34022
5. [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. Zbl0757.54019
6. [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. Zbl0796.93010
7. [7] L. Górniewicz and S. Plaskacz, Periodic solutions of differential inclusions in ${ℝ}^n$, Bollettino U.M.I., (7), 7-A (1993), 409-420. Zbl0798.34018
8. [8] D. M. Hyman, On decreasing sequences of compact absolute retracts, Fund. Math., 64 (1969), 91-97. Zbl0174.25804
9. [9] M. A. Krasnosel'skiĭ and P. P. Zabreĭko, Geometrical methods of nonlinear analysis, Springer Verlag, 1984 
10. [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. Zbl0421.47033
11. [11] S. Plaskacz, On the solution sets for differential inclusions, Bollettino U.M.I., (7), 6-A (1992), 387-394. Zbl0774.34012