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Comparison theorems of Hille-Wintner type for dynamic equations on time scales
Authors:Lynn Erbe  Allan Peterson
Institution:Department of Mathematics, University of Nebraska-Lincoln, Lincoln, Nebraska 68588-0130 ; Department of Mathematics, University of Nebraska-Lincoln, Lincoln, Nebraska 68588-0130
Abstract:We obtain an analogue of the Hille-Wintner comparison theorem for the nonoscillation of second-order linear dynamic equations on time scales. Several examples are given including applications to difference equations.

Keywords:Comparison theorems  linear oscillation  Hille--Wintner  time scale
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