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Ganji, S. S.; Ganji, D. D.; Ganji, Z. Z.; Karimpour, S.

Periodic solution for strongly nonlinear vibration systems by He’s energy balance method. (English) Zbl 1241.34049

Acta Appl. Math. 106, No. 1, 79-92 (2009).
The paper presents He’s energy balance method to study periodic solution of the strongly nonlinear system \[ u''+f(u(t))=0~. \] Some examples are given which reveal that even the lowest order approximation are of high accuracy.
Reviewer: Ladislav Adamec (Brno)

Cited in 18 Documents

MSC:

34C25 Periodic solutions to ordinary differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations

Keywords:

energy balance method; nonlinear oscillation; periodic solutions
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\textit{S. S. Ganji} et al., Acta Appl. Math. 106, No. 1, 79--92 (2009; Zbl 1241.34049)
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References:

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