Oscillations of Difference Equations with Several Oscillating Coefficients

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

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We study the oscillatory behavior of the solutions of the difference equation Δx(n)+∑i=1mpi(n)x(τi(n))=00,n∈N0[∇xn-∑i=1mpinxσin=, n∈N] 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.

Date: 2014
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https://doi.org/10.1155/2014/392097

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:392097

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