In the paper,the oscillation for a class of second-order nonlinear neutral delay dynamic equation on time scales was discussed.First,the sufficient condition for oscillation of the equation was proposed by introducing the generalized Riccati transformation and the time scales theory.Second,a non-oscillation criterion that the equation has bounded eventually positive solutions was obtained by using the fixed point theorem in Banach space and some analysis techniques.These results are new and they unify and g...
【基金】
Supported by the Natural Science Foundation of Hunan Province(12JJ6006);
the Hunan Province Science and Technology Project(2012FJ3107);
the National Natural Science Foundation of China(11071222)
【更新日期】
2013-02-28
【分类号】
O175
【正文快照】
0 IntroductionThe research for oscillation and asymptotic of differential equations(continuous system)and differenceequations(discrete systems)is very important in theory and applications.So,there have been many researchachievements in this field[1-3].The
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