TY - JOUR
T1 - Iterative oscillation criteria for first-order difference equations with non-monotone advanced arguments
AU - Attia, Emad R.
AU - Chatzarakis, George E.
N1 - Publisher Copyright:
© 2021, Korean Society for Informatics and Computational Applied Mathematics.
PY - 2022/10
Y1 - 2022/10
N2 - Consider the first-order linear advanced difference equation of the form ∇x(n)-q(n)x(σ(n))=0,n∈N,where (q(n)) n≥1 is a sequence of nonnegative real numbers and (σ(n)) n≥1 is a sequence of integers such that σ(n) ≥ n+ 1 , for all n∈ N. Based on an iterative procedure, new oscillation criteria, involving lim sup , are established in the case of non-monotone advanced argument. Our conditions essentially improve several known results in the literature. Examples, numerically solved in Maple software, are also given to illustrate the applicability and strength of the obtained conditions over known ones.
AB - Consider the first-order linear advanced difference equation of the form ∇x(n)-q(n)x(σ(n))=0,n∈N,where (q(n)) n≥1 is a sequence of nonnegative real numbers and (σ(n)) n≥1 is a sequence of integers such that σ(n) ≥ n+ 1 , for all n∈ N. Based on an iterative procedure, new oscillation criteria, involving lim sup , are established in the case of non-monotone advanced argument. Our conditions essentially improve several known results in the literature. Examples, numerically solved in Maple software, are also given to illustrate the applicability and strength of the obtained conditions over known ones.
KW - Advanced argument
KW - Non-monotone argument
KW - Nonoscillatory solution
KW - Oscillatory solution
UR - http://www.scopus.com/inward/record.url?scp=85118448294&partnerID=8YFLogxK
U2 - 10.1007/s12190-021-01648-0
DO - 10.1007/s12190-021-01648-0
M3 - Article
AN - SCOPUS:85118448294
SN - 1598-5865
VL - 68
SP - 3089
EP - 3105
JO - Journal of Applied Mathematics and Computing
JF - Journal of Applied Mathematics and Computing
IS - 5
ER -