Oscillations of certain third order nonlinear neutral functional differential equations with damping
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Oscillations of certain third order nonlinear neutral functional differential equations with damping
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 55, Issue 6, Pages: 52-56(2016)
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韩山师范学院数学与统计学院,广东,潮州,521041
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Published:2016,
Published Online:25 November 2016,
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LIN Wenxian. Oscillations of certain third order nonlinear neutral functional differential equations with damping. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 55(6):52-56(2016)
DOI:
LIN Wenxian. Oscillations of certain third order nonlinear neutral functional differential equations with damping. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 55(6):52-56(2016)DOI:
Oscillations of certain third order nonlinear neutral functional differential equations with damping
The research on oscillation for general mechanical and electronic vibration mathematical models,which are usually functional differential equations
has important implications in both theory and practice. The oscillation of third-order nonlinear neutral functional differential equations with continuous distributed delay and damping terms is studied. By using the generalized Riccati transformation
H-function and integral averaging technique
some new sufficient conditions which insure that any solution of such equation oscillates or converges to zero are established. The corresponding known results are extended and improved.