Oscillation and nonoscillation for second-order nonlinear neutral functional dynamic equations on time scales
In this article, we investigate the oscillation and nonoscillation of second order nonlinear neutral dynamic equations with retarded and advanced arguments by means of the theory of upper and lower solutions for related dynamic equations along with some additional estimates on positive solutions...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2013-10-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/234/abstr.html |
| Summary: | In this article, we investigate the oscillation and nonoscillation of
second order nonlinear neutral dynamic equations with retarded and
advanced arguments by means of the theory of upper and lower solutions
for related dynamic equations along with some additional estimates on
positive solutions. We also apply the Kranoselskii's fixed point theorem
to obtain nonoscillation results. Some interesting examples are given
to illustrate the versatility of our results. |
|---|---|
| ISSN: | 1072-6691 |