Abstract
For a differential equation of arbitrary even order with operator coefficients, a generalization of Arnold’s theorems of alternation and non-oscillation is obtained. The oscillation theorem for a problem with general boundary conditions is proved.
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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 10, No. 3, pp. 317–332, July–August, 2013.
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Kholkin, A.M. A generalization of the theorems of alternation and non-oscillation for differential-operator equations of arbitrary even order. J Math Sci 196, 632–643 (2014). https://doi.org/10.1007/s10958-014-1681-x
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DOI: https://doi.org/10.1007/s10958-014-1681-x