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On boundary value problems of periodic type for ordinary odd order differential equations. (English) Zbl 0589.34030
Existence and uniqueness results for the boundary value problem $u^{(2n+1)}=f(t,u),\quad \sum^{2k+1}_{i=1}a_{ik}u^{(k- 1)}(0)+b_{ik}u^{(k-1)}(\omega)=0$ $$k=1,...,2n+1$$, where $$\omega,a_{ik},b_{ik}\in {\mathbb{R}}$$ and f: [0,$$\omega$$ ]$$\times {\mathbb{R}}\to {\mathbb{R}}$$ is continuous, are given.
Reviewer: G.Caristi

##### MSC:
 34C25 Periodic solutions to ordinary differential equations 34A30 Linear ordinary differential equations and systems 34B99 Boundary value problems for ordinary differential equations
##### Keywords:
odd order differential equations; small perturbations
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