Oscillation results for nonlinear second-order damped dynamic equations
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Authors
Jingjing Wang
- School of Information Science & Technology, Qingdao University of Science & Technology, Qingdao, Shandong 266061, P. R. China.
M. M. A. El-Sheikh
- Department of Mathematics, Faculty of Science, Menoufia University, Shebin El-Koom 32511, Egypt.
R. A. Sallam
- Department of Mathematics, Faculty of Science, Menoufia University, Shebin El-Koom 32511, Egypt.
D. I. Elimy
- Department of Mathematics, Faculty of Science, Menoufia University, Shebin El-Koom 32511, Egypt.
Tongxing Li
- LinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Linyi University, Linyi, Shandong 276005, P. R. China.
Abstract
The oscillatory behavior of a class of second-order nonlinear dynamic equations with damping on an arbitrary
time scale is considered without requiring explicit sign assumptions on the derivative of the nonlinearity.
Several sufficient conditions for the oscillation of solutions are presented using the Riccati transformation
and integral averaging technique. An illustrative example is provided.
Share and Cite
ISRP Style
Jingjing Wang, M. M. A. El-Sheikh, R. A. Sallam, D. I. Elimy, Tongxing Li, Oscillation results for nonlinear second-order damped dynamic equations, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 5, 877--883
AMA Style
Wang Jingjing, El-Sheikh M. M. A., Sallam R. A., Elimy D. I., Li Tongxing, Oscillation results for nonlinear second-order damped dynamic equations. J. Nonlinear Sci. Appl. (2015); 8(5):877--883
Chicago/Turabian Style
Wang, Jingjing, El-Sheikh, M. M. A., Sallam, R. A., Elimy, D. I., Li, Tongxing. "Oscillation results for nonlinear second-order damped dynamic equations." Journal of Nonlinear Sciences and Applications, 8, no. 5 (2015): 877--883
Keywords
- Oscillation
- second-order
- nonlinear dynamic equation
- damping term
- time scale.
MSC
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