TY - JOUR
AU - Çakır, Ali
AU - ocalan, ozkan
AU - Yıldız, Mustafa Kemal
PY - 2023/07/27
Y2 - 2024/08/06
TI - Oscillatory Behavior of Higher Order Nonlinear Mixed Type Difference Equations With a Nonlinear Neutral Term
JF - JOURNAL OF ADVANCES IN MATHEMATICS
JA - JAM
VL - 22
IS -
SE - Articles
DO - 10.24297/jam.v22i.9484
UR - https://rajpub.com/index.php/jam/article/view/9484
SP - 30-39
AB - <p>This paper discusses higher order nonlinear neutral mixed type difference equations of the form</p><p>Δ^{m}[x(n)+p(n)h(x(σ(n)))]+q(n)f(x(τ(n)))=0, n=0,1,2,…,</p><p>where (p(n)), (q(n)) are sequences of nonnegative real numbers, h, f:R→R are continuous and nondecreasing with uh(u)>0, uf(u)>0 for all u≠0, and (σ(n)) and (τ(n)) are sequences of integers such that</p><p>lim_{n→∞}τ(n)=lim_{n→∞}σ(n)=∞.</p><p>In general, we will examine the oscillatory behavior of the solutions for the above equation. Especially, when m is even, the result obtained here complements studies related to the oscillation of the above equation. In addition, examples showing the accuracy of the results are given.</p>
ER -