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 inAdvances in difference equations Vol. 2012; no. 1; pp. 1 - 11
Main Author Mert, Raziye
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 24.05.2012
Springer Nature B.V
BioMed Central Ltd
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
oscillation
Taylor's formula
time scale
higher order
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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.
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ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/1687-1847-2012-68