Oscillation Criterion for Half-Linear Differential Equations With Periodic Coefficients
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Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Academic Press inc Elsevier Science
Open Access Color
HYBRID
Green Open Access
No
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No
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Abstract
In this paper, we present an oscillation criterion for second order half-linear differential equations with periodic coefficients. The method is based on the nonexistence of a proper solution of the related modified Riccati equation. Our result can be regarded as an oscillatory counterpart to the nonoscillation criterion by Sugie and Matsumura (2008). These two theorems provide a complete half-linear extension of the oscillation criterion of Kwong and Wong (2003) dealing with the Hill's equation. (C) 2012 Elsevier Inc. All rights reserved.
Description
Hilscher, Roman Simon/0000-0001-5844-4526; Ozbekler, Abdullah/0000-0001-5196-4078
Keywords
Oscillation, Half-linear equation, Periodic coefficients, Modified Riccati equation, Hill's equation, Oscillation, Hill’s equation, Periodic coefficients, Applied Mathematics, Half-linear equation, Analysis, Modified Riccati equation, oscillation, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Hill's equation, modified Riccati equation, periodic coefficients, half-linear equation
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q2
OpenCitations Citation Count
9
Source
Journal of Mathematical Analysis and Applications
Volume
393
Issue
2
Start Page
360
End Page
366
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CrossRef : 7
Scopus : 11
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Mendeley Readers : 7
SCOPUS™ Citations
11
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Web of Science™ Citations
12
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Page Views
4
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