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Existence of nonoscillatory solutions of higher-order neutral differential equations with positive and negative coefficients

โœ Scribed by Yong Zhou; B.G. Zhang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
430 KB
Volume
15
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In this paper, we consider the following higher-order neutral functional differential equations with positive and negative coefficients: -& [z(t) + cx (t -T)l + (-1) *+l [P(t)?2 (t -CT) -Q(t)2 (t -a)] = 0, t 2 to, where n > 1 is an integer, c E R, ~,o,6 E W+, and P,Q E C([to,m),W+), IR+ = [O ,oo). We obtain the global results (with respect to c) which are some sufficient conditions for the existence of nonoscillatory solutions.

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