Oscillatory properties of second-order nonlinear neutral dynamic equations with positive and negative coefficients

This paper is to investigate the oscillatory properties of second-order nonlinear neutral dynamic equation with positive and negative coefficients of the form on an arbitrary time scale . We establish several oscillation criteria for the equation by using a generalized Riccati technique. The obtaine...

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Bibliographic Details
Published in:Journal of applied mathematics & computing 2013-07, Vol.42 (1-2), p.227-243
Main Author: Chen, Da-Xue
Format: Article
Language:English
Subjects:
Applied Mathematics
Computational Mathematics and Numerical Analysis
Computer programming
Criteria
Dynamic mechanical properties
Dynamic programming
Dynamic tests
Mathematical analysis
Mathematical and Computational Engineering
Mathematical functions
Mathematical models
Mathematics
Mathematics and Statistics
Mathematics of Computing
Nonlinear dynamics
Nonlinear equations
Nonlinearity
Oscillations
Studies
Theory of Computation
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Summary:This paper is to investigate the oscillatory properties of second-order nonlinear neutral dynamic equation with positive and negative coefficients of the form on an arbitrary time scale . We establish several oscillation criteria for the equation by using a generalized Riccati technique. The obtained results extend and improve certain existing results in the literature. Examples are shown to illustrate our main results.
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-012-0639-8