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OSCILLATION OF NONLINEAR SECOND ORDER NEUTRAL DELAY DYNAMIC EQUATIONS ON TIME SCALES
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 Title & Authors
OSCILLATION OF NONLINEAR SECOND ORDER NEUTRAL DELAY DYNAMIC EQUATIONS ON TIME SCALES
Agwo, Hassan A.;
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 Abstract
In this paper, we establish some oscillation criteria for nonautonomous second order neutral delay dynamic equations on a time scale . Oscillatory behavior of such equations is not studied before. This is a first paper concerning these equations. The results are not only can be applied on neutral differential equations when , neutral delay difference equations when and for neutral delay q-difference equations when for q>1, but also improved most previous results. Finally, we give some examples to illustrate our main results. These examples arc [lot discussed before and there is no previous theorems determine the oscillatory behavior of such equations.
 Keywords
oscillation;time scales;neutral delay;dynamic equation;
 Language
English
 Cited by
1.
Oscillation criteria for second order quasilinear neutral delay differential equations on time scales, Computers & Mathematics with Applications, 2011, 62, 10, 3682  crossref(new windwow)
2.
Oscillation Criteria for a Class of Second-Order Neutral Delay Dynamic Equations of Emden-Fowler Type, Abstract and Applied Analysis, 2011, 2011, 1  crossref(new windwow)
3.
Necessary and Sufficient Conditions for Positive Solutions of Second-Order Nonlinear Dynamic Equations on Time Scales, International Journal of Mathematics and Mathematical Sciences, 2011, 2011, 1  crossref(new windwow)
4.
Nonlinear oscillation of second-order neutral dynamic equations with distributed delay, Mathematical Methods in the Applied Sciences, 2016, 39, 2, 202  crossref(new windwow)
5.
Oscillatory Behavior of Quasilinear Neutral Delay Dynamic Equations on Time Scales, Advances in Difference Equations, 2010, 2010, 1, 450264  crossref(new windwow)
6.
Oscillatory Behavior of Quasilinear Neutral Delay Dynamic Equations on Time Scales, Advances in Difference Equations, 2010, 2010, 1  crossref(new windwow)
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