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Existence and uniqueness of periodic solutions for Rayleigh type \(p\)-Laplacian equation. (English) Zbl 1188.34047

The Rayleigh type p-Laplacian equation of the form
\[ (\varphi_{p} (x' (t)))^\prime + f ( t,x' (t)) + g(t,x(t)) = e(t) \]
is considered. Existence and uniqueness of T-periodic solutions for this equation are proved. A numerical example is given.

MSC:

34C25 Periodic solutions to ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
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References:

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