Oscillation of higher-order neutral dynamic equations on time scales

In this article, using comparison with second-order dynamic equations, we establish sufficient conditions for oscillatory solutions of an n th-order neutral dynamic equation with distributed deviating arguments. The arguments are based on Taylor monomials on time scales. 2000 Mathematics Subject Cla...

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Bibliographic Details
Published in:Advances in difference equations 2012-05, Vol.2012 (1), p.1-11, Article 68
Main Author: Mert, Raziye
Format: Article
Language:English
Subjects:
Analysis
Classification
Difference and Functional Equations
Difference equations
Dynamics
Functional Analysis
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Oscillations
Partial Differential Equations
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Summary:In this article, using comparison with second-order dynamic equations, we establish sufficient conditions for oscillatory solutions of an n th-order neutral dynamic equation with distributed deviating arguments. The arguments are based on Taylor monomials on time scales. 2000 Mathematics Subject Classification: 34K11; 39A10; 39A99.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/1687-1847-2012-68