Picone's formula for linear non-selfadjoint impulsive differential equations


Ozbekler A., Zafer A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.319, ss.410-423, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 319 Konu: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.jmaa.2005.06.019
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.410-423

Özet

In this paper, we derive a Picone type formula for second-order linear non-selfadjoint impulsive differential equations having fixed moments of impulse actions, and obtain a Wirtinger type inequality, a Leighton type comparison theorem, and a Sturm-Picone comparison theorem for such equations. Moreover, several oscillation criteria are also derived as applications. (c) 2005 Elsevier Inc. All rights reserved.