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Picone’s formula for linear non-selfadjoint impulsive differential equations. (English) Zbl 1100.34012

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.

MSC:

34A37 Ordinary differential equations with impulses
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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