Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equations on Time Scales

Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equations on Time Scales

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 h...

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Main Authors: Shao-Yan Zhang, Qi-Ru Wang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/684068
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spelling doaj-aee345c928534bcd8c31136b33d296022020-11-24T23:13:56ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/684068684068Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equations on Time ScalesShao-Yan Zhang0Qi-Ru Wang1Department of Mathematics, Guangdong University of Finance, Guangzhou 510520, ChinaSchool of Mathematics & Computational Science, Sun Yat-Sen University, Guangzhou 510275, ChinaThis 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.http://dx.doi.org/10.1155/2014/684068
collection DOAJ
language English
format Article
sources DOAJ
author Shao-Yan Zhang
Qi-Ru Wang
spellingShingle Shao-Yan Zhang
Qi-Ru Wang
Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equations on Time Scales
Discrete Dynamics in Nature and Society
author_facet Shao-Yan Zhang
Qi-Ru Wang
author_sort Shao-Yan Zhang
title Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equations on Time Scales
title_short Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equations on Time Scales
title_full Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equations on Time Scales
title_fullStr Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equations on Time Scales
title_full_unstemmed Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equations on Time Scales
title_sort interval oscillation criteria for second-order forced functional dynamic equations on time scales
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/684068
work_keys_str_mv AT shaoyanzhang intervaloscillationcriteriaforsecondorderforcedfunctionaldynamicequationsontimescales
AT qiruwang intervaloscillationcriteriaforsecondorderforcedfunctionaldynamicequationsontimescales
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