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Picone type formula for half‐linear impulsive differential equations with discontinuous solutions
Authors:A Özbekler
Affiliation:Department of Mathematics, Atilim University 06836, Incek, Ankara, Turkey
Abstract:Picone type formula for half‐linear impulsive differential equations with discontinuous solutions having fixed moments of impulse actions is derived. Employing the formula, Leighton and Sturm–Picone type comparison theorems as well as several oscillation criteria for impulsive differential equations are obtained. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:impulse  oscillation  Leighton  Sturm–  Picone  half‐linear  Picone type formula
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