Principal pairs for oscillatory second order linear differential equations
Martin E. Muldoon, František Neuman
Abstract
Nonoscillatory second order differential equations always admit ``special'', principal solutions. For a certain type of oscillatory equation principal pairs of solutions were introduced by Á. Elbert, F. Neuman and J. Vosmanský, Diff. Int. Equations 5 (1992), 945--960. In this paper, the notion of principal pair is extended to a wider class of oscillatory equations. Also an interesting property of some of the principal pairs is presented that makes the notion of these ``special'' pairs more understandable.
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