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Oscillation of solutions of impulsive neutral difference equations with continuous variable
Author(s) -
Gengping Wei,
Jianhua Shen
Publication year - 2006
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms/2006/34232
Subject(s) - algorithm , computer science
We obtain sufficient conditions for oscillation of all solutions of the neutral impulsive difference equation with continuous variable Δτ(y(t)+p(t)y(t−mτ))+Q(t)y(t−lτ)=0, t≥t0−τ, t≠tk, y(tk+τ)−y(tk)=bky(tk), k∈ℕ(1), where Δτ denotes the forward difference operator, that is, Δτz(t)=z(t+τ)−z(t), p(t)∈C([t0−τ,∞),ℝ), Q(t)∈C([t0−τ,∞),(0,∞)), m, l are positive integers, τ>0 and bk are constants, 0≤t0

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