Oscillations of difference equations with several oscillating coefficients

L. Berezansky, G. E. Chatzarakis, A. Domoshnitsky, I. P. Stavroulakis

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Abstract

We study the oscillatory behavior of the solutions of the difference equation Δx(n)+i=1mpi(n)x(τi(n))=0,nN0[xn-i=1mpinxσin=0, nN] where (pi(n)), 1≤i≤m are real sequences with oscillating terms, τi(n)[σi(n)], 1≤i≤m are general retarded (advanced) arguments, and Δ[] denotes the forward (backward) difference operator Δx(n)=x(n+1)-x(n)[x(n)=x(n)-x(n-1)]. Examples illustrating the results are also given.

Original languageEnglish
Article number392097
JournalAbstract and Applied Analysis
Volume2014
DOIs
StatePublished - 1 Jan 2014

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