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Oscillation of Higher-Order Neutral-Type Periodic Differential Equations with Distributed Arguments
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Date
2007
Author
Dahiya, R. S.
Zafer, A.
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We derive oscillation criteria for general-type neutral differential equations [x(t) +αx(t− τ) +βx(t +τ)](n) = δ b ax(t − s)dsq1(t,s) + δ d c x(t + s)dsq2(t,s) = 0, t ≥ t0, where t0 ≥ 0, δ = ±1, τ > 0, b>a ≥ 0, d>c ≥ 0, α and β are real numbers, the functions q1(t,s) : [t0,∞) × [a,b] → R and q2(t,s):[t0,∞) × [c,d] → R are nondecreasing in s for each fixed t, and τ is periodic and continuous with respect to t for each fixed s. In certain special cases, the results obtained generalize and improve some existing ones in the literature. Copyright © 2007 R. S. Dahiya and A. Zafer. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
Subject Keywords
Applied Mathematics
,
Analysis
,
Discrete Mathematics and Combinatorics
URI
https://hdl.handle.net/11511/50908
Journal
Journal of Inequalities and Applications
DOI
https://doi.org/10.1155/2007/98423
Collections
Department of Mathematics, Article
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R. S. Dahiya and A. Zafer, “Oscillation of Higher-Order Neutral-Type Periodic Differential Equations with Distributed Arguments,”
Journal of Inequalities and Applications
, pp. 1–14, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/50908.