TY - JOUR
AU - Thandapani, E.
AU - Pandian, S.
AU - Balasubramanian, R. K.
PY - 2005/03/31
Y2 - 2022/05/24
TI - Oscillatory behavior of second order unstable type neutral difference equations
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 36
IS - 1
SE -
DO - 10.5556/j.tkjm.36.2005.136
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/136
SP - 57-68
AB - <p>This paper deals with the oscillatory behavior of all bounded/ unbounded solutions of second order neutral type difference equation of the form</p><p>$$ \Delta (a_n(\Delta_c y_n+py_{n-k}))^\alpha)-g_nf(y_{\sigma(n)})=0, $$</p><p>where $ p $ is real, $ \alpha $ is a ratio of odd positive integers, $ k $ is a positive integer and $ \{\sigma(n)\} $ is a sequence of integers. Examples are provided to illustrate the results.</p>
ER -