Oscillation of second-order quasi-linear neutral functional dynamic equations with distributed deviating arguments
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Authors
Tongxing Li
- School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, P. R. China.
- School of mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P. R. China.
Ethiraju Thandapani
- Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 005, India.
Abstract
In this paper, some sufficient conditions for the oscillation of
second-order nonlinear neutral functional dynamic equation
\[( r(t) ( [x(t) + p(t)x[\tau (t)]]^\Delta)^\gamma )^\Delta +\int^b_a q(t; \xi)x^\gamma [g(t; \xi)]\Delta\xi= 0; t \in \mathbb{T}\]
are established. An example is given to illustrate an application of our results.
Share and Cite
ISRP Style
Tongxing Li, Ethiraju Thandapani, Oscillation of second-order quasi-linear neutral functional dynamic equations with distributed deviating arguments, Journal of Nonlinear Sciences and Applications, 4 (2011), no. 3, 180--192
AMA Style
Li Tongxing, Thandapani Ethiraju, Oscillation of second-order quasi-linear neutral functional dynamic equations with distributed deviating arguments. J. Nonlinear Sci. Appl. (2011); 4(3):180--192
Chicago/Turabian Style
Li, Tongxing, Thandapani, Ethiraju. "Oscillation of second-order quasi-linear neutral functional dynamic equations with distributed deviating arguments." Journal of Nonlinear Sciences and Applications, 4, no. 3 (2011): 180--192
Keywords
- Oscillation
- Second-order nonlinear equation
- Neutral dynamic equation
- Distributed deviating arguments
- Time scale.
MSC
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