Open AccessNonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales
Author(s) -
Taixiang Sun,
Hongjian Xi,
Xiaofeng Peng,
Weiyong Yu
Publication year - 2010
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2010/428963
Subject(s) - mathematics , dynamic equation , order (exchange) , mathematical analysis , pure mathematics , nonlinear system , physics , finance , quantum mechanics , economics
We study the higher-order neutral dynamic equation {a(t)[(x(t)−p(t)x(τ(t)))Δm]α}Δ+f(t,x(δ(t)))=0 for t∈[t0,∞)T and obtain some necessary and sufficient conditions for the existence of nonoscillatorybounded solutions for this equation
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