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Proceedings of the American Mathematical Society
Volumn 133, Issue 2, 2005, Pages 449-453
A version of sharkovskii's theorem for differential equations
Author keywords

(primary) orbits; Applicable (multivalued) version; M maps; Multiplicity results; Sharkovskii's theorem; Subharmonics; Translation operators
Indexed keywords

EID: 13544272896     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-04-07627-0     Document Type: Conference Paper
Times cited : (17)
References (9)
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    • (2002) Set-valued Anal. , vol.10 , Issue.1 , pp. 1-14
    • Andres, J.1    Fišer, J.2    Jüttner, L.3
  • 3
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    • Period three plays a negative role in a multivalued version of Sharkovskii's theorem
    • [AJ]. MR 1926088 (2003g:37079)
    • [AJ] J. Andres and L. Jüttner: Period three plays a negative role in a multivalued version of Sharkovskii's theorem. Nonlin. Anal. 51 (2002), 1101-1104. MR 1926088 (2003g:37079)
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    • Andres, J.1    Jüttner, L.2
  • 4
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    • On a multivalued version of the Sharkovskii theorem and its application to differential inclusions II
    • [AJP], to appear
    • [AJP] J. Andres, L. Jüttner and K. Pastor: On a multivalued version of the Sharkovskii theorem and its application to differential inclusions II. Set-Valued Anal., to appear.
    • Set-valued Anal.
    • Andres, J.1    Jüttner, L.2    Pastor, K.3
  • 5
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    • On a multivalued version of the Sharkovskii theorem and its application to differential inclusions III
    • [AP], no. 2. MR 2036383
    • [AP] J. Andres and K. Pastor: On a multivalued version of the Sharkovskii theorem and its application to differential inclusions III. Topol. Meth. Nonlin. Anal. 22 (2003), no. 2, 369-386. MR 2036383
    • (2003) Topol. Meth. Nonlin. Anal. , vol.22 , pp. 369-386
    • Andres, J.1    Pastor, K.2
  • 6
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    • On Sharkovsky's cycle coexisting ordering
    • [Kl]. MR 0557223 (81d:58045)
    • [Kl] P. E. Kloeden: On Sharkovsky's cycle coexisting ordering. Bull. Austral. Math. Soc. 20 (1979), 171-177. MR 0557223 (81d:58045)
    • (1979) Bull. Austral. Math. Soc. , vol.20 , pp. 171-177
    • Kloeden, P.E.1
  • 7
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    • Zur Theorie der Differentialgleichung y′ = f(x,y)
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    • [Or] W. Orlicz: Zur Theorie der Differentialgleichung y′ = f(x,y). Bull. Akad. Polon. Sci., Sér. A, 00 (1932), 221-228.
    • (1932) Bull. Akad. Polon. Sci., Sér. A , pp. 221-228
    • Orlicz, W.1
  • 8
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    • [Pl]. Nauka, Moscow, 1964 (in Russian); Academic Press, New York, MR 0171962 (30:2188)
    • [Pl] V. A. Pliss: Nonlocal Problems in the Theory of Oscillations. Nauka, Moscow, 1964 (in Russian); Academic Press, New York, 1966. MR 0171962 (30:2188)
    • (1966) Nonlocal Problems in the Theory of Oscillations
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  • 9
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    • Coexistence of cycles of a continuous map of a line into itself
    • [Sh] (in Russian). MR 0159905 (28:3121)
    • [Sh] A. N. Sharkovskii: Coexistence of cycles of a continuous map of a line into itself. Ukrainian Math. J. 16 (1964), 61-71 (in Russian). MR 0159905 (28:3121)
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    • Sharkovskii, A.N.1

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