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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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