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$N$th order extension of the Wintner-Leighton theorem. (English) Zbl 1030.34030
Summary: Sufficient conditions are given for the existence of oscillatory and nonoscillatory solutions to a class of $n$th-order linear differential equations. These results include an extension of the Wintner-Leighton theorem.

MSC:
34C10Qualitative theory of oscillations of ODE: zeros, disconjugacy and comparison theory
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Full Text: DOI
References:
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[2] W. Coppel, Disconjugacy, Lecture Notes in Mathematics, vol. 220, Springer, Berlin, 1971
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