Picone type formula for half-linear impulsive differential equations with discontinuous solutions

Picone type formula for half-linear impulsive differential equations with discontinuous solutions

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...

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Veröffentlicht in:Mathematical methods in the applied sciences 2015-05, Vol.38 (8), p.1592-1600
1. Verfasser: Ozbekler, A
Format: Artikel
Sprache:eng
Schlagworte:
Criteria
Differential equations
half-linear
impulse
Impulses
Leighton
Mathematical analysis
oscillation
Oscillations
Picone type formula
Sturm-Picone
Theorems
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Zusammenfassung: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.3171