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On four-point boundary value problem without growth conditions. (English) Zbl 0955.34008
Summary: The author proves the existence of solutions to four-point boundary value problems under the assumption that $$f$$ fulfils various combinations of sign conditions and no growth restrictions are imposed on $$f$$. In contrast to earlier works all these results are proved for the Carathéodory case.

##### MSC:
 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
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##### References:
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