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

Date

2006-07-15

Author

Ozbekler, A.
Zafer, Ağacık

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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.

Subject Keywords

Applied Mathematics, Analysis

URI

https://hdl.handle.net/11511/57955

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

DOI

https://doi.org/10.1016/j.jmaa.2005.06.019

Collections

Department of Mathematics, Article

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Citation Formats

A. Ozbekler and A. Zafer, “Picone’s formula for linear non-selfadjoint impulsive differential equations,” JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, pp. 410–423, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57955.