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Exact regions of oscillation for a neutral differential equation

Published online by Cambridge University Press:  11 July 2007

S. S. Cheng
Affiliation:
Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, Republic of China
Y. Z. Lin
Affiliation:
Department of Mathematics, Fujian Normal University, Fuzhou, Fujian 350007, People's Republic of China

Abstract

This paper is concerned with a neutral differential equation with four constant coefficients, one delay and one advancement. By means of the theory of envelopes, we consider all possible values of the parameters involved in the equation and obtain a complete set of necessary and sufficient conditions for all solutions to be oscillatory.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2000

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