A generalization of the theorems of alternation and non-oscillation for differential-operator equations of arbitrary even order.

Authors :: Kholkin, Aleksandr
Source :: Journal of Mathematical Sciences. Feb2014, Vol. 196 Issue 5, p632-643. 12p.
Publication Year :: 2014
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. [ABSTRACT FROM AUTHOR]

Subjects :: *GENERALIZATION
*MATHEMATICS theorems
*DIFFERENTIAL operators
*OPERATOR theory
*ARBITRARY constants
*OSCILLATION theory of difference equations

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