Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equations on Time Scales
Author(s) -
Shaoyan Zhang,
Qiru Wang
Publication year - 2014
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2014/684068
Subject(s) - algorithm , computer science
This paper is concerned with oscillation of second-order forced functional dynamic equations of the form (r(t)(xΔ(t))γ)Δ+∑i=0nqi(t)|x(δi(t))|αisgn x(δi(t))=e(t) on time scales. By using a generalized Riccati technique and integral averaging techniques, we establish new oscillation criteria which handle some cases not covered by known criteria
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