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Proceedings of the American Mathematical Society
Volumn 126, Issue 6, 1998, Pages 1725-1732
Multiplicity of periodic solutions for duffing equations under nonuniform non-resonance conditions
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EID: 22044447307     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-98-04520-1     Document Type: Article
Times cited : (10)
References (10)
  • 1
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    • M.A. DEL PINO, R.F. MANÄSEVICH AND A.MURUA, On the number of 2π-periodic solutions for u″ + g(u) = s(1 + h(t)) using the Poincaré-Birkhoff Theorem, J.Differential Equations 95(1992), pp 240-258. MR 93e:34062
    • (1992) J.Differential Equations , vol.95 , pp. 240-258
    • Del Pino, M.A.1    Manäsevich, R.F.2    Murua, A.3
  • 2
    • 84974027478 scopus 로고
    • T-periodic solutions for some second order differential equations with singularities
    • MR 93c:34091
    • M.A. DEL PINO, R.F. MANÄSEVICH AND A.MONTERO, T-periodic solutions for some second order differential equations with singularities, Proceedings of the Royal Society of Edinburgh 120A (1992), pp 231-243. MR 93c:34091
    • (1992) Proceedings of the Royal Society of Edinburgh , vol.120 , pp. 231-243
    • Del Pino, M.A.1    Manäsevich, R.F.2    Montero, A.3
  • 3
    • 46149131254 scopus 로고
    • On the periodic BVP for the forced Duffing equation with jumping nonlinearity
    • MR 87j:34077
    • P.DRABEK AND S.INVERNIZZI, On the periodic BVP for the forced Duffing equation with jumping nonlinearity, Nonlinear Analysis TMA 10(1986), pp 643-650. MR 87j:34077
    • (1986) Nonlinear Analysis TMA , vol.10 , pp. 643-650
    • Drabek, P.1    Invernizzi, S.2
  • 4
    • 0003225449 scopus 로고
    • Coincidence degree and nonlinear differential equations
    • Springer, Berlin, MR 58:30551
    • R.E. GAINES AND J.MAWHIN, Coincidence degree and nonlinear differential equations, Lecture Notes in Math. 568 (Springer, Berlin, 1977). MR 58:30551
    • (1977) Lecture Notes in Math. , vol.568
    • Gaines, R.E.1    Mawhin, J.2
  • 5
    • 0001313590 scopus 로고
    • Nonuniform non-resonance conditions at the two first eigenvalues for periodic solutions of forced Lienárd and Duffing equations
    • MR 84e:34028
    • J.MAWHIN AND J.R. WARD, Nonuniform non-resonance conditions at the two first eigenvalues for periodic solutions of forced Lienárd and Duffing equations, Rocky Mountain J. of Mathematics: 12(1982), pp 643-654. MR 84e:34028
    • (1982) Rocky Mountain J. of Mathematics , vol.12 , pp. 643-654
    • Mawhin, J.1    Ward, J.R.2
  • 6
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    • Generalized upper and lower solution method for the forced Duffing'equation
    • MR 97h:34044
    • CHENGWEN WANG, Generalized upper and lower solution method for the forced Duffing'equation, Proc. Amer. Math. Soc. 125(1997), pp 397-406. MR 97h:34044
    • (1997) Proc. Amer. Math. Soc. , vol.125 , pp. 397-406
    • Wang, C.1
  • 8
    • 0030641952 scopus 로고    scopus 로고
    • Semi-linear Duffing equations crossing resonance points
    • CMP 97:06
    • D. HAO AND S.MA, Semi-linear Duffing equations crossing resonance points, J. Differential Equations 133(1997), pp 98-116. CMP 97:06
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  • 9
    • 0004623277 scopus 로고
    • Periodic solutions for Duffing equations
    • MR 95m:34079
    • H.WANG AND Y. Li, Periodic solutions for Duffing equations, Nonlinear Analysis TMA 24(1995), pp 961-979. MR 95m:34079 ,
    • (1995) Nonlinear Analysis TMA , vol.24 , pp. 961-979
    • Wang, H.1    Li, Y.2

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