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Periodic solution for certain non-linear third order differential equation. (English) Zbl 0708.34030

The nonlinear third order differential equation \[ x'''+\psi (x')x''+(k^ 2+\phi (x))x'+f(t,x)=e(t) \] is studied. The Leray-Schauder fixed point technique is applied.
Reviewer: P.Drábek

MSC:

34C25 Periodic solutions to ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
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