Acta mathematica scientia,Series B ›› 1990, Vol. 10 ›› Issue (3): 311-318.
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Gao Guozhu
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Abstract: Recently the authors have studied the oscillations of some neutral differential difference equations and obtained very good results (see[1-4]). In this paper we consider the oscillations of the neutral differential difference equation(d)/dt[x(t)+∑i=1 px(t-τ)+∑j=1n qx(t-σ)=0, t ≥ t,] (*) where p, τ, q and σ (i=1, 2, …, m; j=1, 2, …, n) are positive constants. Some sufficient conditions for all solutions of (*) to oscillate are obtained. And in some ease we give necessary and sufficient conditions for (*) to oscillate.
Gao Guozhu. OSCILLATIONS OF NEUTRAL DIFFERENTIAL DIFFERENCE EQUATIONS[J].Acta mathematica scientia,Series B, 1990, 10(3): 311-318.
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