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Volumn 6, Issue 1, 2006, Pages 57-67

Periodic solutions of equations of Emarkov-Pinney type

Author keywords

Degree; Eigenvalue; Non resonance condition; Periodic solution; Singularity

Indexed keywords


EID: 33644588170     PISSN: 15361365     EISSN: None     Source Type: Journal    
DOI: 10.1515/ans-2006-0104     Document Type: Article
Times cited : (52)

References (18)
  • 1
    • 0002387817 scopus 로고
    • Continuation theorems for periodic perturbations of autonomous systems
    • A. Capietto, J. Mawhin and F. Zanolin, Continuation theorems for periodic perturbations of autonomous systems, Trans. Amer. Math. Soc. 329 (1992), 41-72.
    • (1992) Trans. Amer. Math. Soc. , vol.329 , pp. 41-72
    • Capietto, A.1    Mawhin, J.2    Zanolin, F.3
  • 2
    • 84974027478 scopus 로고
    • T-periodic solutions for some second order differential equations with singularities
    • M. A. del Pino, R. F. Manásevich and A. Montero, T-periodic solutions for some second order differential equations with singularities, Proc. Royal Soc. Edinburgh Sect. A 120 (1992), 231-243.
    • (1992) Proc. Royal Soc. Edinburgh Sect. A , vol.120 , pp. 231-243
    • Del Pino, M.A.1    Manásevich, R.F.2    Montero, A.3
  • 3
    • 67651101560 scopus 로고
    • Periodic solutions of some Liénard equations with singularities
    • P. Habets and L. Sanchez, Periodic solutions of some Liénard equations with singularities, Proc. Amer. Math. Soc. 109 (1990), 1035-1044.
    • (1990) Proc. Amer. Math. Soc. , vol.109 , pp. 1035-1044
    • Habets, P.1    Sanchez, L.2
  • 4
    • 14844350923 scopus 로고    scopus 로고
    • Multiplicity of positive periodic solutions to superlinear repulsive singular equations
    • D. Jiang, J. Chu and M. Zhang, Multiplicity of positive periodic solutions to superlinear repulsive singular equations, J. Differential Equations 211 (2005), 282-302.
    • (2005) J. Differential Equations , vol.211 , pp. 282-302
    • Jiang, D.1    Chu, J.2    Zhang, M.3
  • 5
    • 84968467454 scopus 로고
    • On periodic solutions of nonlinear differential equations with singularities
    • A. C. Lazer and S. Solimini, On periodic solutions of nonlinear differential equations with singularities, Proc. Amer. Math. Soc. 99 (1987), 109-114.
    • (1987) Proc. Amer. Math. Soc. , vol.99 , pp. 109-114
    • Lazer, A.C.1    Solimini, S.2
  • 6
    • 3142715977 scopus 로고    scopus 로고
    • Twist character of the least amplitude periodic solution of the forced pendulem
    • J. Lei, X. Li, P. Yan, and M. Zhang, Twist character of the least amplitude periodic solution of the forced pendulem, SIAM J. Math. Anal. 35 (2003), 844-867.
    • (2003) SIAM J. Math. Anal. , vol.35 , pp. 844-867
    • Lei, J.1    Li, X.2    Yan, P.3    Zhang, M.4
  • 7
    • 0003653890 scopus 로고
    • corrected reprint of 1966 edition, Dover, New York
    • W. Magnus and S. Winkler, "Hill's Equations", corrected reprint of 1966 edition, Dover, New York, 1979.
    • (1979) Hill's Equations
    • Magnus, W.1    Winkler, S.2
  • 10
    • 0037629759 scopus 로고    scopus 로고
    • Twist solutions of a Hill equation with singular term
    • P. J. Torres, Twist solutions of a Hill equation with singular term, Adv. Nonlinear Studies 2 (2002), 279-287.
    • (2002) Adv. Nonlinear Studies , vol.2 , pp. 279-287
    • Torres, P.J.1
  • 11
    • 0347601653 scopus 로고    scopus 로고
    • Twist periodic solutions of repulsive singular equations
    • P. J. Torres and M. Zhang, Twist periodic solutions of repulsive singular equations, Non-linear Anal. 56 (2004), 591-599.
    • (2004) Non-linear Anal. , vol.56 , pp. 591-599
    • Torres, P.J.1    Zhang, M.2
  • 12
    • 3042813981 scopus 로고    scopus 로고
    • Periodic solutions of the second-order differential equations with singularity
    • Z. Wang, Periodic solutions of the second-order differential equations with singularity, Nonlinear Anal. 58 (2004), 319-331.
    • (2004) Nonlinear Anal. , vol.58 , pp. 319-331
    • Wang, Z.1
  • 13
    • 33646364018 scopus 로고    scopus 로고
    • Periodic solutions of Duffing equations with sub-quadratic potentials and singularity
    • to appear
    • Z. Wang, J. Xia and D. Zheng, Periodic solutions of Duffing equations with sub-quadratic potentials and singularity, J. Math. Anal. Appl., to appear.
    • J. Math. Anal. Appl.
    • Wang, Z.1    Xia, J.2    Zheng, D.3
  • 14
    • 0043175345 scopus 로고    scopus 로고
    • Higher order non-resonance for differential equations with singularities
    • P. Yan and M. Zhang, Higher order non-resonance for differential equations with singularities, Math. Methods Appl. Sci. 26 (2003), 1067-1074.
    • (2003) Math. Methods Appl. Sci. , vol.26 , pp. 1067-1074
    • Yan, P.1    Zhang, M.2
  • 15
    • 0030268560 scopus 로고    scopus 로고
    • Periodic solutions of Liénard equations with singular forces of repulsive type
    • M. Zhang, Periodic solutions of Liénard equations with singular forces of repulsive type, J. Math. Anal. Appl. 203 (1996), 254-269.
    • (1996) J. Math. Anal. Appl. , vol.203 , pp. 254-269
    • Zhang, M.1
  • 16
    • 0041392487 scopus 로고    scopus 로고
    • A relationship between the periodic and the Dirichlet BVPs of singular differential equations
    • M. Zhang, A relationship between the periodic and the Dirichlet BVPs of singular differential equations, Proc. Royal Soc. Edinburgh Sect. A 128 (1998), 1099-1114.
    • (1998) Proc. Royal Soc. Edinburgh Sect. A , vol.128 , pp. 1099-1114
    • Zhang, M.1
  • 17
    • 0001289835 scopus 로고    scopus 로고
    • The rotation number approach to eigenvalues of the one-dimensional p-Laplacian with periodic potentials
    • M. Zhang, The rotation number approach to eigenvalues of the one-dimensional p-Laplacian with periodic potentials, J. London Math. Soc. (2) 64 (2001), 125-143.
    • (2001) J. London Math. Soc. (2) , vol.64 , pp. 125-143
    • Zhang, M.1
  • 18
    • 29044450155 scopus 로고    scopus 로고
    • Certain classes of potentials for p-Laplacian to be non-degenerate
    • M. Zhang, Certain classes of potentials for p-Laplacian to be non-degenerate, Math. Nachr. 278 (2005), 1823-1836.
    • (2005) Math. Nachr. , vol.278 , pp. 1823-1836
    • Zhang, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.