On a multivalued version of the Sharkovskii theorem and its application to differential inclusions, II

Set-Valued Analysis

Volumn 13, Issue 1, 2005, Pages 47-68

  Andres, Jan ^a   Jüttner, Libor ^a   Pastor, Karel ^a  

^a PALACKÝ UNIVERSITY   (Czech Republic)

Author keywords

Application to differential equations and inclusions; Multivalued version; Periodic orbits; Sharkovskii's theorem

Indexed keywords

EID: 18744392316     PISSN: 09276947     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11228-004-8200-z     Document Type: Article

References (10)

1. [A] Andres, J.: Poincaré's translation multioperator revisited, In: Lecture Notes in Nonlinear Analysis 3, J. Schauder Center for Nonlinear Studies, 2002, pp. 7-22.
2. [AFJ] Andres, J., Fišer, J. and Jüttner, L.: On a multivalued version of the Sharkovskii theorem and its application to differential inclusion, Set-Valued Anal. 10(1) (2002), 1-14.
3. [AJ] Andres, J. and Jüttner, L.: Period three plays a negative role in a multivalued version of Sharkovskii's theorem, Nonlinear Anal. 51 (2002), 1101-1104.
4. [F] Filippov, A. F. : Differential Equations with Discontinuous Right-Hand Sides, Kluwer Acad. Publ., Dordrecht, 1988.
5. [G] Górniewicz, L.: Topological Fixed Point Theory of Multivalued Mappings, Kluwer Acad. Publ., Dordrecht, 1999.
6. [LY] Li, T.-Y. and Yorke, J. A.: Period three implies chaos, Amer. Math. Monthly 82 (1975), 985-992.
7. [J] Jarník, J.: Multivalued mappings and Filippov's operation, Czechoslovak Math. J. 31 (1981), 275-288.
8. [O] Orlicz, W.: Zur Theorie der Differentialgleichung y′ = f(x,y), Bull. Akad. Polon. Sci., Sér. A 00 (1932), 221-228.
9. [S] Sharkovskii, A. N.: Coexistence of cycles of a continuous map of a line into itself, Ukrainian Math. J. 16 (1964), 61-71 (Russian).
10. [ZW] Zhu, S. M. and Wu, Y. T.: Periodic solutions to autonomous functional-differential equations with a piecewise constant function, Acta Sci. Natur. Univ. Sunyatseni 29(3) (1990), 12-19 (Chinese).