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Volumn 135, Issue 1, 2005, Pages 119-132

Optimal bounds for bifurcation values of a superlinear periodic problem

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EID: 14644431887     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500003796     Document Type: Article
Times cited : (26)

References (16)
  • 1
    • 84966206938 scopus 로고
    • A note on degree theory for gradient mappings
    • H. Amann. A note on degree theory for gradient mappings. Proc. Am. Math. Soc. 85 (1982), 591-595.
    • (1982) Proc. Am. Math. Soc. , vol.85 , pp. 591-595
    • Amann, H.1
  • 3
    • 0009458077 scopus 로고
    • A priori bounds and periodic solutions for a class of planar systems with applications to Lotka-Volterra equations
    • T. Ding, H. Huang and F. Zanolin. A priori bounds and periodic solutions for a class of planar systems with applications to Lotka-Volterra equations. Discrete Contin. Dynam. Syst. 1 (1995), 103-117.
    • (1995) Discrete Contin. Dynam. Syst. , vol.1 , pp. 103-117
    • Ding, T.1    Huang, H.2    Zanolin, F.3
  • 4
    • 0000038518 scopus 로고
    • A multiplicity result for periodic solutions of forced nonlinear second order ordinary differential equations
    • C. Fabry, J. Mawhin and N. Nkashama. A multiplicity result for periodic solutions of forced nonlinear second order ordinary differential equations. Bull. Land. Math. Soc. 18 (1986), 173-180.
    • (1986) Bull. Land. Math. Soc. , vol.18 , pp. 173-180
    • Fabry, C.1    Mawhin, J.2    Nkashama, N.3
  • 7
    • 0000915068 scopus 로고
    • Stability and index of periodic solutions of an equation of Duffing type
    • R. Ortega. Stability and index of periodic solutions of an equation of Duffing type. Boll. UMI B 3 (1989), 533-546.
    • (1989) Boll. UMI B , vol.3 , pp. 533-546
    • Ortega, R.1
  • 8
    • 0002846166 scopus 로고
    • Some applications of the topological degree to stability theory
    • (ed. A. Granas and M. Frigon), Dordrecht: Kluwer
    • R. Ortega. Some applications of the topological degree to stability theory. In Topological methods in differential equations and inclusions (ed. A. Granas and M. Frigon), pp. 377-409 (Dordrecht: Kluwer, 1995).
    • (1995) Topological Methods in Differential Equations and Inclusions , pp. 377-409
    • Ortega, R.1
  • 9
    • 0030188066 scopus 로고    scopus 로고
    • Periodic solution of a Newtonian equation: Stability by the third approximation
    • R. Ortega. Periodic solution of a Newtonian equation: stability by the third approximation. J. Dig. Eqns 128 (1996), 491-518.
    • (1996) J. Dig. Eqns , vol.128 , pp. 491-518
    • Ortega, R.1
  • 10
    • 0000908570 scopus 로고
    • A bound for fixed point index of an area-preserving map with applications to mechanics
    • C. Simon. A bound for fixed point index of an area-preserving map with applications to mechanics. Invent. Math. 26 (1974), 187-200; 32 (1976), 101.
    • (1974) Invent. Math. , vol.26 , pp. 187-200
    • Simon, C.1
  • 11
    • 0041014905 scopus 로고
    • C. Simon. A bound for fixed point index of an area-preserving map with applications to mechanics. Invent. Math. 26 (1974), 187-200; 32 (1976), 101.
    • (1976) Invent. Math. , vol.32 , pp. 101
  • 12
    • 34250392866 scopus 로고
    • Best constant in Sobolev inequality
    • G. Talenti. Best constant in Sobolev inequality. Annli Mat. Pura Appl. 110 (1976), 353-372.
    • (1976) Annli Mat. Pura Appl. , vol.110 , pp. 353-372
    • Talenti, G.1
  • 13
    • 84966215615 scopus 로고
    • Asymptotic conditions for periodic solutions of ordinary differential equations
    • J. R. Ward. Asymptotic conditions for periodic solutions of ordinary differential equations. Proc. Am. Math. Soc. 81 (1981), 415-420.
    • (1981) Proc. Am. Math. Soc. , vol.81 , pp. 415-420
    • Ward, J.R.1
  • 14
    • 0038583815 scopus 로고    scopus 로고
    • The best bound on the rotations in the stability of periodic solutions of a Newtonian equation
    • M. Zhang. The best bound on the rotations in the stability of periodic solutions of a Newtonian equation. J. Lond. Math. Soc. 67 (2003), 137-148.
    • (2003) J. Lond. Math. Soc. , vol.67 , pp. 137-148
    • Zhang, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.