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Volumn 42, Issue 9, 1999, Pages 957-964

Proof and generalization of Kaplan-Yorke's conjecture under the condition f′ (0) > 0 on periodic solution of differential delay equations

Author keywords

Conjecture of Kaplan Yorke; Differential delay equations; Hamiltonian systems; Periodic solutions

Indexed keywords


EID: 0042725474     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02880387     Document Type: Article
Times cited : (51)

References (12)
  • 1
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    • (1974) J. Math. Anal. Appl. , vol.48 , pp. 317
    • Kaplan, J.L.1    Yorke, J.A.2
  • 2
    • 84971149516 scopus 로고
    • Periodic solutions of special differential-delay equation: An example in nonlinear functional analysis
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    • (1978) Proc. Royal. Soc. Edinburgh , vol.81 A , pp. 131
    • Nussbaum, R.D.1
  • 3
    • 0013052376 scopus 로고
    • On the construction of periodic solutions of Kaplan Yorke type for some differential delay equations
    • Gopalsamy, K., Li Jibin, He Xuezhong, On the construction of periodic solutions of Kaplan Yorke type for some differential delay equations, Appl. Anal., 1995, 59: 65.
    • (1995) Appl. Anal. , vol.59 , pp. 65
    • Gopalsamy, K.1    Li, J.2    He, X.3
  • 4
    • 0042226420 scopus 로고
    • Number of simple periodic solutions of differential difference equation x′ (t) = f(x(t-1))
    • Ge Weigao, Number of simple periodic solutions of differential difference equation x′ (t) = f(x(t-1)), Chinese Ann. of Math., 1993, 14A: 480.
    • (1993) Chinese Ann. of Math. , vol.14 A , pp. 480
    • Ge, W.1
  • 5
    • 0039028414 scopus 로고
    • Periodic solutions of differential delay equations with multiple lags
    • Ge Weigao, Periodic solutions of differential delay equations with multiple lags, Acta Math. Appl. Sinica, 1994, 17: 172.
    • (1994) Acta Math. Appl. Sinica , vol.17 , pp. 172
    • Ge, W.1
  • 6
    • 0041726109 scopus 로고
    • Two existence theorems of periodic solutions for differential delay equations
    • Ge Weigao, Two existence theorems of periodic solutions for differential delay equations, Acta of Math. Appl. Sinica, 1994, 15B: 217.
    • (1994) Acta of Math. Appl. Sinica , vol.15 B , pp. 217
    • Ge, W.1
  • 10
    • 0003195003 scopus 로고
    • Topological Methods for Variational Problems with Symmetries
    • New York: Springer-Verlag
    • Bartsch, T., Topological Methods for Variational Problems with Symmetries, Lecture Notes in Mathematics, 1560, New York: Springer-Verlag, 1993.
    • (1993) Lecture Notes in Mathematics , vol.1560
    • Bartsch, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.