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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
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