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Zbl 1100.34012
Ă–zbekler, A.; Zafer, A.
Picone's formula for linear non-selfadjoint impulsive differential equations.
(English)
[J] J. Math. Anal. Appl. 319, No. 2, 410-423 (2006). ISSN 0022-247X

The authors investigate linear nonselfadjoint impulsive second order differential equations with impulsive effects at fixed moments. A Picone-type formula is derived. The main results are obtained by means of the comparison principle. Several oscillation criteria are derived as applications, too.
[Ivanka Stamova (Bourgas)]
MSC 2000:
*34A37 Differential equations with impulses
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: Sturm-Picone; Wirtinger; Leighton; oscillation; damping; impulse

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Scientific prize winners of the ICM 2010
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