Picone type formula for non-selfadjoint impulsive differential equations with discontinuous solutions
A. Özbekler, Atilim University, Ankara, Turkey E. J. Qualitative Theory of Diff. Equ., No. 35. (2010), pp. 1-12.
A. Zafer, Middle East Technical University, Ankara, Turkey
| Communicated by J. R. Graef. | Received on 2009-12-26 Appeared on 2010-06-10 |
Abstract: A Picone type formula for second order linear non-selfadjoint impulsive differential equations with discontinuous solutions having fixed moments of impulse actions is derived. Applying the formula, Leighton and Sturm-Picone type comparison theorems as well as several oscillation criteria for impulsive differential equations are obtained.
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