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Volumn 11, Issue 4, 2010, Pages 269-272

Application of He's max-min approach to a generalized nonlinear discontinuity equation

Author keywords

Generalized nonlinear discontinuity equation; Max min approach method; Periodic solutions

Indexed keywords


EID: 78649517104     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2010.11.4.269     Document Type: Article
Times cited : (14)

References (25)
  • 1
    • 39149127981 scopus 로고    scopus 로고
    • Periodic solutions of Duffing equation with strong non-linearity
    • DOI 10.1016/j.chaos.2006.08.033, PII S0960077906008423
    • V. Marinea, N. Herisanu, Periodic solutions of Duffing equation with strong nonlinearity, Chaos Solitons and Fractals, 37 (1) (2008) 144-149. (Pubitemid 351258310)
    • (2008) Chaos, Solitons and Fractals , vol.37 , Issue.1 , pp. 144-149
    • Marinca, V.1    Herisanu, N.2
  • 2
    • 62949245816 scopus 로고    scopus 로고
    • Variational iteration method for solving non-linear partial differential equations
    • A.A. Hemeda, Variational iteration method for solving non-linear partial differential equations, Chaos Solitons and Fractals, 39 (3) (2009) 1297-1303.
    • (2009) Chaos Solitons and Fractals , vol.39 , Issue.3 , pp. 1297-1303
    • Hemeda, A.A.1
  • 3
    • 34447517053 scopus 로고    scopus 로고
    • The variational iteration method for nonlinear oscillators with discontinuities
    • DOI 10.1016/j.jsv.2007.04.020, PII S0022460X07003148
    • M. Rafei, D.D. Ganji, H. Daniali, H. Pashaei, The variational iteration method for nonlinear oscillators with discontinuities, J. Sound Vib. 305 (2007) 614-620. (Pubitemid 47069444)
    • (2007) Journal of Sound and Vibration , vol.305 , Issue.4-5 , pp. 614-620
    • Rafei, M.1    Ganji, D.D.2    Daniali, H.3    Pashaei, H.4
  • 4
    • 50349083334 scopus 로고    scopus 로고
    • Solution for an anti-symmetric quadratic nonlinear oscillator by modified He's homotopy perturbation method
    • A. Belendez, C. Pascual, T. Belendez, A. Hernandez, Solution for an anti-symmetric quadratic nonlinear oscillator by modified He's homotopy perturbation method, Nonlinear Analysis: RWA. 10 (1) (2009) 416-427.
    • (2009) Nonlinear Analysis: RWA , vol.10 , Issue.1 , pp. 416-427
    • Belendez, A.1    Pascual, C.2    Belendez, T.3    Hernandez, A.4
  • 5
    • 19944420146 scopus 로고    scopus 로고
    • The homotopy-perturbation method applied for solving complex-valued differential equations with strong cubic nonlinearity
    • L. Cveticanin, The homotopy-perturbation method applied for solving complex-valued differential equations with strong cubic nonlinearity, J. Sound Vib. 285 (2005) 1171-1179.
    • (2005) J. Sound Vib. , vol.285 , pp. 1171-1179
    • Cveticanin, L.1
  • 6
    • 0041621600 scopus 로고    scopus 로고
    • Variational principles for some nonlinear partial differential equations with variable coefficients
    • J.H. He, Variational principles for some nonlinear partial differential equations with variable coefficients, Chaos Solitons Fractals, 19 (2004) 847-851.
    • (2004) Chaos Solitons Fractals , vol.19 , pp. 847-851
    • He, J.H.1
  • 7
    • 0035601179 scopus 로고    scopus 로고
    • Bookkeeping parameter in perturbation methods
    • J.H. He, Bookkeeping parameter in perturbation methods, Int. J. Nonlinear Sci. Numer. Simul. 2 (2001) 257-264.
    • (2001) Int. J. Nonlinear Sci. Numer. Simul. , vol.2 , pp. 257-264
    • He, J.H.1
  • 8
    • 47049103543 scopus 로고    scopus 로고
    • Application of parameter-expansion method to nonlinear oscillators with discontinuities
    • F.O. Zengin, M.O. Kaya, S.A. Demirbaǧ, Application of parameter-expansion method to nonlinear oscillators with discontinuities, Int. J. Nonlin. Sci. Numer. Simul., 9 (2008) 267-270.
    • (2008) Int. J. Nonlin. Sci. Numer. Simul. , vol.9 , pp. 267-270
    • Zengin, F.O.1    Kaya, M.O.2    Demirbaǧ, S.A.3
  • 9
    • 34249996463 scopus 로고    scopus 로고
    • Application of parameter-expanding method to strongly nonlinear oscillators
    • D.H. Shou, J.H. He, Application of parameter-expanding method to strongly nonlinear oscillators, Int. J. Nonlin. Sci. Num., 8 (2007) 121-124.
    • (2007) Int. J. Nonlin. Sci. Num. , vol.8 , pp. 121-124
    • Shou, D.H.1    He, J.H.2
  • 10
    • 34547661887 scopus 로고    scopus 로고
    • Application of He's parameter-expansion method to an oscillation of a mass attached to a stretched elastic wire
    • L. Xu, Application of He's parameter-expansion method to an oscillation of a mass attached to a stretched elastic wire, Phys. Lett. A, 368 (2007) 259-262.
    • (2007) Phys. Lett. A , vol.368 , pp. 259-262
    • Xu, L.1
  • 11
    • 34748917561 scopus 로고    scopus 로고
    • Nonlinear oscillator with discontinuity by parameter expansion method
    • S.Q. Wang, J.H. He, Nonlinear oscillator with discontinuity by parameter expansion method, Chaos Solitons and Fractals, 35 (2008) 688-691.
    • (2008) Chaos Solitons and Fractals , vol.35 , pp. 688-691
    • Wang, S.Q.1    He, J.H.2
  • 12
    • 4243080805 scopus 로고    scopus 로고
    • Approximate period of nonlinear oscillator with discontinuities by modified Lindstedt-Poincare method
    • H.M. Liu, Approximate period of nonlinear oscillator with discontinuities by modified Lindstedt-Poincare method, Chaos Solitons and Fractals, 23 (2005) 577-579.
    • (2005) Chaos Solitons and Fractals , vol.23 , pp. 577-579
    • Liu, H.M.1
  • 13
    • 67651003300 scopus 로고    scopus 로고
    • Application of parameter-expansion methods to the generalized nonlinear discontinuity equation
    • M.O. Kaya, S.A. Demirbag, Application of parameter-expansion methods to the generalized nonlinear discontinuity equation, Chaos Solitons and Fractals, 42 (2009) 1967-1973.
    • (2009) Chaos Solitons and Fractals , vol.42 , pp. 1967-1973
    • Kaya, M.O.1    Demirbag, S.A.2
  • 14
    • 47049099601 scopus 로고    scopus 로고
    • Max-min approach to nonlinear oscillators
    • J.H. He, Max-min approach to nonlinear oscillators, Int. J. Nonlin. Sci. Numer. Simul., 9 (2) (2008) 207-210.
    • (2008) Int. J. Nonlin. Sci. Numer. Simul. , vol.9 , Issue.2 , pp. 207-210
    • He, J.H.1
  • 15
    • 74549167313 scopus 로고    scopus 로고
    • Analysis of strongly nonlinear oscillator using the max-min approach
    • D.Q. Zeng, Y.Y. Lee, Analysis of strongly nonlinear oscillator using the max-min approach, Int. J. Nonlin. Sci. Numer. Simul., 10 (10) (2009) 1361-1368.
    • (2009) Int. J. Nonlin. Sci. Numer. Simul. , vol.10 , Issue.10 , pp. 1361-1368
    • Zeng, D.Q.1    Lee, Y.Y.2
  • 16
    • 67651204458 scopus 로고    scopus 로고
    • Nonlinear oscillator with discontinuity by the max-min approach
    • D.Q. Zeng, Nonlinear oscillator with discontinuity by the max-min approach, Chaos Solitons and Fractals, 42 (2009) 2885-2889.
    • (2009) Chaos Solitons and Fractals , vol.42 , pp. 2885-2889
    • Zeng, D.Q.1
  • 17
    • 1842557458 scopus 로고    scopus 로고
    • He Chengtian's inequality and its applications
    • J.H. He, He Chengtian's inequality and its applications, Appl. Math. Comput. 151 (3) (2004) 887-891.
    • (2004) Appl. Math. Comput. , vol.151 , Issue.3 , pp. 887-891
    • He, J.H.1
  • 18
    • 1842583288 scopus 로고    scopus 로고
    • Zu-Geng's axiom vs Cavalieri's theory
    • J.H. He, Zu-Geng's axiom vs Cavalieri's theory, Appl. Math. Comput. 152 (2004) 9-15.
    • (2004) Appl. Math. Comput. , vol.152 , pp. 9-15
    • He, J.H.1
  • 19
    • 4444312461 scopus 로고    scopus 로고
    • Allometric scaling and instability in electrospinning
    • J.H. He, Y.Q. Wan, J.Y. Yu, Allometric scaling and instability in electrospinning, Int. J. Nonlinear Sci. Numer. Simul. 5 (3) (2004) 253-261.
    • (2004) Int. J. Nonlinear Sci. Numer. Simul. , vol.5 , Issue.3 , pp. 253-261
    • He, J.H.1    Wan, Y.Q.2    Yu, J.Y.3
  • 20
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • DOI 10.1142/S0217979206033796, PII S0217979206033796
    • J.H. He, Some asymptotic methods for strongly nonlinear equations, Int. J. Mod. Phys. B, 20 (2006) 1141-1199. (Pubitemid 43599585)
    • (2006) International Journal of Modern Physics B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.-H.1
  • 21
    • 1242309941 scopus 로고    scopus 로고
    • Solution of nonlinear equations by an ancient Chinese algorithm
    • J.H. He, Solution of nonlinear equations by an ancient Chinese algorithm, Appl. Math. Comput., 151 (2004) 293-297.
    • (2004) Appl. Math. Comput. , vol.151 , pp. 293-297
    • He, J.H.1
  • 22
    • 26044479135 scopus 로고    scopus 로고
    • Rebuild of King Fang 40 BC musical scales by He's inequality
    • J.H. He, H. Tang, Rebuild of King Fang 40 BC musical scales by He's inequality, Appl. Math. Comput., 168 (2005) 909-914.
    • (2005) Appl. Math. Comput. , vol.168 , pp. 909-914
    • He, J.H.1    Tang, H.2
  • 23
    • 4444286643 scopus 로고    scopus 로고
    • Mysterious pi and a possible link to DNA sequencing
    • J.H. He, Mysterious pi and a possible link to DNA sequencing, Int. J. Nonlinear Sci., 5 (2004) 263-274.
    • (2004) Int. J. Nonlinear Sci. , vol.5 , pp. 263-274
    • He, J.H.1
  • 24
    • 65349158516 scopus 로고    scopus 로고
    • Application of Modified He's variational method to nonlinear oscillators with discontinuities
    • S.A. Demirbaǧ, M.O. Kaya, F. Ö. Zengin, Application of Modified He's variational method to nonlinear oscillators with discontinuities, Int. J. of Nonlinear Sci. and Numer. Simul. 10 (1) (2009) 27-31.
    • (2009) Int. J. of Nonlinear Sci. and Numer. Simul. , vol.10 , Issue.1 , pp. 27-31
    • Demirbaǧ, S.A.1    Kaya, M.O.2    Zengin, F.Ö.3
  • 25
    • 70149122580 scopus 로고    scopus 로고
    • A simple approach to nonlinear oscillators
    • Z. F. Ren, J. H. He, A simple approach to nonlinear oscillators, Phys. Letter A, 373 (2009) 3749-3752.
    • (2009) Phys. Letter A , vol.373 , pp. 3749-3752
    • Ren, Z.F.1    He, J.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.