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2014 Oscillations of Difference Equations with Several Oscillating Coefficients
L. Berezansky, G. E. Chatzarakis, A. Domoshnitsky, I. P. Stavroulakis
Abstr. Appl. Anal. 2014: 1-9 (2014). DOI: 10.1155/2014/392097


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)), 1im are real sequences with oscillating terms, τi(n)[σi(n)], 1im 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.


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L. Berezansky. G. E. Chatzarakis. A. Domoshnitsky. I. P. Stavroulakis. "Oscillations of Difference Equations with Several Oscillating Coefficients." Abstr. Appl. Anal. 2014 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022295
MathSciNet: MR3219368
Digital Object Identifier: 10.1155/2014/392097

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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