Oscillation of Higher-Order Neutral-Type Periodic Differential Equations with Distributed Arguments

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2007

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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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Citation Formats

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.