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Picone type formula for half‐linear impulsive differential equations with discontinuous solutions
Author(s) -
Özbekler A.
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3171
Subject(s) - mathematics , type (biology) , impulse (physics) , differential equation , mathematical analysis , oscillation (cell signaling) , chemistry , physics , ecology , biochemistry , quantum mechanics , biology
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.