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Volumn 26, Issue 10, 1996, Pages 1715-1731

On forced nonlinear oscillations for the second order equations with semiquadratic potential

Author keywords

Across resonance; Periodic solutions; Semiquadratic potential; Time map; Topological degree approach

Indexed keywords


EID: 0001050863     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(94)00208-Y     Document Type: Article
Times cited : (7)

References (16)
  • 1
    • 0012585414 scopus 로고
    • Periodic solutions of nonlinear differential equations of Duffing type
    • Edited by W. A. HARRIS and Y. SIBUYA. Benjamin, New York
    • LOUD W. S., Periodic solutions of nonlinear differential equations of Duffing type, in Differential and Functional Equations (Edited by W. A. HARRIS and Y. SIBUYA), pp. 199-244. Benjamin, New York (1967).
    • (1967) Differential and Functional Equations , pp. 199-244
    • Loud, W.S.1
  • 2
    • 0006292139 scopus 로고
    • Contraction mappings and periodically perturbed nonconservative systems
    • REISSIG R., Contraction mappings and periodically perturbed nonconservative systems, Atti Accad. naz. Lincei Rc. 58, 696-702 (1975).
    • (1975) Atti Accad. Naz. Lincei Rc. , vol.58 , pp. 696-702
    • Reissig, R.1
  • 3
    • 0042563390 scopus 로고
    • Schwingugssätze für die verallgemeinerte Liénardsche differentialgleichung
    • REISSIG R., Schwingugssätze für die verallgemeinerte Liénardsche differentialgleichung, Ah. Math. Semin. Univ. Hamburg 44, 45-51 (1975).
    • (1975) Ah. Math. Semin. Univ. Hamburg , vol.44 , pp. 45-51
    • Reissig, R.1
  • 4
    • 0001926029 scopus 로고
    • Recent trends in nonlinear boundary value problems
    • Berlin) (Edited by SCHIMIDT. Akadmire, Berlin
    • MAWHIN J., Recent trends in nonlinear boundary value problems, in Proc. 7th. Int. Conf. Nonlinear Oscillations (Berlin) (Edited by SCHIMIDT), pp. 57-70. Akadmire, Berlin (1977).
    • (1977) Proc. 7th. Int. Conf. Nonlinear Oscillations , pp. 57-70
    • Mawhin, J.1
  • 5
    • 0000150063 scopus 로고
    • Nonlinear oscillations at resonance
    • DING T., Nonlinear oscillations at resonance, Sci. China 25-A, 918-931 (1982).
    • (1982) Sci. China , vol.25 A , pp. 918-931
    • Ding, T.1
  • 6
    • 0001385401 scopus 로고
    • Periodic solutions of second order forced Liénard differential equations at resonance
    • MAWHIN J. & WARD J., Periodic solutions of second order forced Liénard differential equations at resonance, Arch. Math. 41, 337-351 (1983).
    • (1983) Arch. Math. , vol.41 , pp. 337-351
    • Mawhin, J.1    Ward, J.2
  • 7
    • 0006557951 scopus 로고
    • A note on nonlinear osillations at resonance
    • OMARI P. & ZANOLIN F., A note on nonlinear osillations at resonance, Acta math. Sin. 3, 351-361 (1987).
    • (1987) Acta Math. Sin. , vol.3 , pp. 351-361
    • Omari, P.1    Zanolin, F.2
  • 8
    • 0000580735 scopus 로고
    • Nonresoname with respect to the Fučik spectrum for periodic solutions of second order ordinary differential equations
    • GOSSEZ J.-P. & OMARI P., Nonresoname with respect to the Fučik spectrum for periodic solutions of second order ordinary differential equations, Nonlinear Analysis 14, 1079-1104 (1990).
    • (1990) Nonlinear Analysis , vol.14 , pp. 1079-1104
    • Gossez, J.-P.1    Omari, P.2
  • 9
    • 0001422916 scopus 로고
    • Unbounded perturbations of forced second order differential equations at resonance
    • IANNACCI R. & NKASHAMA M. N., Unbounded perturbations of forced second order differential equations at resonance, J. diff. Eqns 69, 289-309 (1987).
    • (1987) J. Diff. Eqns , vol.69 , pp. 289-309
    • Iannacci, R.1    Nkashama, M.N.2
  • 10
    • 85029988798 scopus 로고    scopus 로고
    • Periodic solutions of forced Liénard equations with jumping nonlinearities under nonuniform conditions
    • to appear
    • IANNACCI R., NKASHAMA M. N., OMARI P. & ZANOLIN F., Periodic solutions of forced Liénard equations with jumping nonlinearities under nonuniform conditions, Proc. R. Soc. Edinb. (to appear).
    • Proc. R. Soc. Edinb.
    • Iannacci, R.1    Nkashama, M.N.2    Omari, P.3    Zanolin, F.4
  • 11
    • 84966205375 scopus 로고
    • An infinite class of periodic solutions of periodically perturbed Duffing equations at resonance
    • DING T., An infinite class of periodic solutions of periodically perturbed Duffing equations at resonance, Proc. Am. math. Soc. 86, 47-54 (1982).
    • (1982) Proc. Am. Math. Soc. , vol.86 , pp. 47-54
    • Ding, T.1
  • 12
    • 84972491398 scopus 로고    scopus 로고
    • Existence and multiplicity results for periodic solutions of semilinear Duffing equations
    • to appear
    • DING T., IANNACCI R. & ZANOLIN F., Existence and multiplicity results for periodic solutions of semilinear Duffing equations, J. diff. Eqns (to appear).
    • J. Diff. Eqns
    • Ding, T.1    Iannacci, R.2    Zanolin, F.3
  • 13
    • 0000903329 scopus 로고
    • Time map and the Duffing's equations across resonance
    • QIAN D., Time map and the Duffing's equations across resonance, Sci. China 23, 471-479 (1993).
    • (1993) Sci. China , vol.23 , pp. 471-479
    • Qian, D.1
  • 14
    • 0003295303 scopus 로고
    • Topological degree methods in nonlinear boundary value problems
    • MAWHIN J., Topological degree methods in nonlinear boundary value problems CBMS 40, (1979).
    • (1979) CBMS , vol.40
    • Mawhin, J.1
  • 15
    • 0000979573 scopus 로고
    • A continuation approach to superliner periodic boundary value problems
    • CAPIETTO A., MAWHIN J. & ZANOLIN F., A continuation approach to superliner periodic boundary value problems, J. diff. Eqns 88, 347-395 (1990).
    • (1990) J. Diff. Eqns , vol.88 , pp. 347-395
    • Capietto, A.1    Mawhin, J.2    Zanolin, F.3
  • 16
    • 38249012758 scopus 로고
    • Periodic solutions of Duffing's equation with superquadratic potential
    • DING T. & ZANOLIN F., Periodic solutions of Duffing's equation with superquadratic potential, J. diff Eqns 97, 328-378 (1992).
    • (1992) J. Diff Eqns , vol.97 , pp. 328-378
    • Ding, T.1    Zanolin, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.