On the Oscillation for Second-Order Half-Linear Neutral Delay Dynamic Equations on Time Scales

We discuss oscillation criteria for second-order half-linear neutral delay dynamic equations on time scales by using the generalized Riccati transformation and the inequality technique. Under certain conditions, we establish four new oscillation criteria. Our results in this paper are new even for t...

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2014; pp. 1 - 11
Main Authors Zhang, Quanxin, Song, Xia
Format Journal Article
LanguageEnglish
Published New York Hindawi Limiteds 01.01.2014
Hindawi Publishing Corporation
Hindawi Limited
Wiley
Subjects
Delay equations
Differential equations
Inequalities (Mathematics)
Mathematical functions
Mathematical research
Transformations (Mathematics)
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Summary:We discuss oscillation criteria for second-order half-linear neutral delay dynamic equations on time scales by using the generalized Riccati transformation and the inequality technique. Under certain conditions, we establish four new oscillation criteria. Our results in this paper are new even for the cases of 𝕋 = ℝ and 𝕋 = ℤ .
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/321764