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Zhang, Hong; Meng, Junxia

Periodic solutions for Duffing type \(p\)-Laplacian equation with multiple constant delays. (English) Zbl 1237.34071

Abstr. Appl. Anal. 2012, Article ID 760918, 8 p. (2012).
Summary: Using inequality techniques and coincidence degree theory, new results are provided concerning the existence and uniqueness of periodic solutions for the Duffing type \(p\)-Laplacian equation with multiple constant delays of the form \((\varphi_p(x'(t)))' + Cx'(t) + g_0 (t, x(t)) + \sum^n_{k=1} g_k(t, x(t - \tau_k)) = e(t)\). Moreover, an example is provided to illustrate the effectiveness of the results.

MSC:

34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
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References:

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