Picone Type Formula for Half-Linear Impulsive Differential Equations With Discontinuous Solutions
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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 (c) 2014 John Wiley & Sons, Ltd.
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Keywords
impulse, oscillation, Leighton, Sturm-Picone, half-linear, Picone type formula, Picone type formula, Leighton, oscillation, Sturm-Picone, Ordinary differential equations with impulses, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, impulse, half-linear
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0101 mathematics, 01 natural sciences
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3
Volume
38
Issue
8
Start Page
1592
End Page
1600
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Scopus : 3
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3
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