Comparison Theorems for Oscillation of Second-Order Neutral Dynamic Equations

We study oscillation of certain second-order neutral dynamic equations under the assumptions that allow applications to dynamic equations with both delayed and advanced arguments. Some new comparison criteria are presented that can be used in cases where known theorems fail to apply.

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Bibliographic Details
Published inMediterranean journal of mathematics Vol. 11; no. 4; pp. 1115 - 1127
Main Authors Agarwal, Ravi P., Bohner, Martin, Li, Tongxing, Zhang, Chenghui
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.11.2014
Subjects
Mathematics
Mathematics and Statistics
neutral dynamic equation
39A10
39A21
34N05
Oscillation
second-order equation
time scale
34K11
comparison theorem
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Summary:We study oscillation of certain second-order neutral dynamic equations under the assumptions that allow applications to dynamic equations with both delayed and advanced arguments. Some new comparison criteria are presented that can be used in cases where known theorems fail to apply.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-013-0353-2