Oscillations of difference equations with several oscillating coefficients

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

doi:10.1155/2014/392097

Oscillations of difference equations with several oscillating coefficients

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 language	English
Article number	392097
Journal	Abstract and Applied Analysis
Volume	2014
DOIs	https://doi.org/10.1155/2014/392097
State	Published - 2014

Access to Document

10.1155/2014/392097

Cite this

@article{de61245869004dd580ba850793e3e143,

title = "Oscillations of difference equations with several oscillating coefficients",

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.",

author = "L. Berezansky and Chatzarakis, {G. E.} and A. Domoshnitsky and Stavroulakis, {I. P.}",

year = "2014",

doi = "10.1155/2014/392097",

language = "אנגלית",

volume = "2014",

journal = "Abstract and Applied Analysis",

issn = "1085-3375",

publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Oscillations of difference equations with several oscillating coefficients

AU - Berezansky, L.

AU - Chatzarakis, G. E.

AU - Domoshnitsky, A.

AU - Stavroulakis, I. P.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84903545468&partnerID=8YFLogxK

U2 - 10.1155/2014/392097

DO - 10.1155/2014/392097

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84903545468

SN - 1085-3375

VL - 2014

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 392097

ER -

Oscillations of difference equations with several oscillating coefficients

Abstract

Access to Document

Other files and links

Fingerprint

Cite this