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Zbl 0633.34037
Lazer, A.C.; McKenna, P.J.
Large scale oscillatory behaviour in loaded asymmetric systems. (English)
[J] Ann. Inst. Henri Poincaré, Anal. Non Linéaire 4, 243-274 (1987). ISSN 0294-1449

The authors study $2\pi$-periodic solutions of ``asymmetric'' nonlinear differential equations of the form $u''+g(u)=s(1+\epsilon h(t)),$ where s is a constant, $\epsilon$ a small parameter, $h(t+2\pi)=h(t)$ and $g'(+\infty)\ne g'(-\infty)$. Depending on g(u) there exist many such solutions close to s. \par \{Reviewer's remark: These results are closely related to {\it H. Ehrmann} [Z. Angew. Math. Mech. 35, 326-327 (1955; Zbl 0065.074)].\}
[E.Brommundt]

MSC 2000:: *34C25 Periodic solutions of ODE
34C15 Nonlinear oscillations of solutions of ODE

Keywords: asymmetric nonlinear differential equations

Citations: Zbl 0065.074

Cited in: Zbl 1221.34111 Zbl 0676.35003

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