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Oscillations of Higher Order Neutral Differential Equations with Variable Coefficients
Author(s) -
Chuanxi Q.,
Ladas G.
Publication year - 1991
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19911500103
Subject(s) - mathematics , oscillation (cell signaling) , order (exchange) , differential equation , variable (mathematics) , mathematical analysis , mathematical physics , combinatorics , chemistry , biochemistry , finance , economics
We obtain sufficient conditions for the oscillation of all solutions of the higher order neutral differential equation d n /d m [ y ( t ) + P ( t ) y ( t ‐ μ)] + Q ( t ) y ( t −σ) = 0, t ≧ t 0 where n ≧ 1, P ϵ C [ t 0 , ∞), R ], Q ϵ C [ t 0 , ∞), R ] and τ, μ ϵ R + . Our results extend and improve several known results in the literature.