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Applied Mathematics Letters
Volume 14, Issue 6, August 2001, Pages 775-781
 
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doi:10.1016/S0893-9659(01)80041-0    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2001 Published by Elsevier Science Ltd. All rights reserved.

Oscillations of solutions of neutral differential equations with positive and negative coefficients*1

J. H. Shen

L. Debnath

Department of Mathematics, Hunan Normal University Changsha, Hunan 410081, P.R. China Department of Mathematics, University of Central Florida Orlando, FL 32816, U.S.A.

Available online 13 July 2001.

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Abstract

We obtain some new results for oscillation of all solutions of the neutral differential equation with positive and negative coefficients

where P, Q, R ε C([t0, ∞), R), r ε (0, ∞, and τ, σ ε (0, ∞). These new results are obtained by establishing and using some new lemmas which are interesting in their own right and which may have further applications in analysis.

Author Keywords: Neutral differential equation and oscillations

Article Outline

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