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Oscillation of a neutral difference equation. (English) Zbl 0772.39001
Summary: This paper is concerned with the oscillation of the bounded solutions of the neutral difference equation \(\Delta[a_ n\Delta^{m-1}(x_ n-p_ nx_{n-k})]+\delta q_ nf(x_{\sigma_ n})=0\), where \(\Delta\) is the forward difference operator defined by \(\Delta x_ n=x_{n+1}-x_ n\).

39A10 Additive difference equations
39A12 Discrete version of topics in analysis
Full Text: DOI
[1] Kiguradze, I.T., On the oscillation of solutions of equation d^{m}u/dtm + a(t)um sgn u = 0, Mat. sb., 65, 172-187, (1964) · Zbl 0135.14302
[2] Agarwal, R.P., Difference equations and inequalities, (1992), Marcel Dekker, Inc New York · Zbl 0784.33008
[3] Cheng, S.S.; Yan, T.C.; Li, H.J., Oscillation criteria for second order difference equation, Funkcialaj ekvacioj, 34, 223-239, (1991) · Zbl 0773.39001
[4] Dahiya, R.S.; Akinyele, O., Oscillation theorems of nth order functional differential equations with forcing terms, J. math. anal. appl., 109, 323-332, (1985) · Zbl 0587.34029
[5] Lakshmikantham, V.; Trigiante, D., Theory of difference equations: numerical methods and applications, (1988), Academic Press, Inc New York · Zbl 0683.39001
[6] Zhicheng, W.; Jianshe, Y., Oscillation of second order nonlinear difference equations, Funkcialaj ekvacioj, 34, 313-319, (1991) · Zbl 0742.39003
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