## Asymptotic boundary value problems for second-order differential systems.(English)Zbl 1182.34038

Using continuation principle in Fréchet spaces the localization of solutions of vector second-order boundary value problems on noncompact intervals in given sets is established. The results are illustrated by two interesting examples.

### MSC:

 34B40 Boundary value problems on infinite intervals for ordinary differential equations 34A60 Ordinary differential inclusions 34B15 Nonlinear boundary value problems for ordinary differential equations 47H04 Set-valued operators 47H11 Degree theory for nonlinear operators
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### References:

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