Title | OSCILLATION OF SECOND ORDER NEUTRAL EMDEN-FOWLER DELAY DYNAMIC EQUATIONS OF MIXED TYPE |
Publication Type | Journal Article |
Year of Publication | 2009 |
Authors | WANG BIYING, XU ZHITING |
Journal | Dynamic Systems and Applications |
Volume | 18 |
Start Page | 441 |
Pagination | 15 |
Date Published | 2009 |
ISSN | 1056-2176 |
AMS Subject Classification | 39A10 |
Abstract | By means of generalized Riccati transformation and averaging technique, we establish some oscillation criteria for the second-order neutral Emden-Fowler delay dynamic equation of mixed type ( r(t)x∆(t) )∆ + q1(t) |y( δ(t) )|α−1 y( δ(t) ) + q2(t) |y( δ(t) )|β−1 y( δ(t) ) = 0, on a time scale T. Our results as a special case when T = R improve some well known oscillation criteria for second order neutral Emden-Fowler delay differential equation of mixed type, and when T = N, T = hN, and T = qNo , i.e., for neutral delay difference equations, neutral delay difference equations with constant step size, and q-neutral difference equations with variable step size. The results obtained here are essentially new and can be applied to different types of time scales. Some applications and examples are considered to illustrate the main results. |
https://acadsol.eu/dsa/articles/18/31-DSA-165.pdf | |
Refereed Designation | Refereed |