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Periodic boundary value problems for third order differential equations. (English) Zbl 0753.34013
Summary: There are studied the questions of existence of periodic solutions of the equation
$$u'''=f(t,u,u',u'')$$ by means of topological degree methods.

##### MSC:
 34B15 Nonlinear boundary value problems for ordinary differential equations 46E15 Banach spaces of continuous, differentiable or analytic functions 46E30 Spaces of measurable functions ($$L^p$$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 34C25 Periodic solutions to ordinary differential equations
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##### References:
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