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

Ozbekler, A.; Zafer, AĞACIK

doi:10.1016/j.jmaa.2005.06.019

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

Ozbekler A., Zafer A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.319, sa.2, ss.410-423, 2006 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 319 Sayı: 2
Basım Tarihi: 2006
Doi Numarası: 10.1016/j.jmaa.2005.06.019
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.410-423
Orta Doğu Teknik Üniversitesi Adresli: Evet

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.