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Oscillation and Nonoscillation Criteria for a Second Order Linear Equation
Authors:Chantladze  T  Kandelaki  N  Lomtatidze  A
Institution:(1) N. Muskhelishvili Institute of Computational Mathematics, Georgian Academy of Sciences, 8, Akuri St., Tbilisi, 380093, Georgia;(2) Department of Mathematical Analysis, Faculty of Natural Sciences, Masaryk University, Janaccaronkovo nám. 2a, 662 95 Brno, Czech Republic
Abstract:New oscillation and nonoscillation criteria are established for the equation

$$u' + p(t)u = 0,$$
,where p :]1,+infinrarr R is the locally integrable function. These criteria generalize and complement the well known criteria of E. Hille, Z. Nehari, A. Wintner, and P. Hartman.
Keywords:Second order linear equation  oscillatory equation  nonoscillatory equation
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