Abstract
We are concerned with the oscillatory behavior of the solutions of a generalized Euler differential equation where the nonlinearities satisfy smoothness conditions which guarantee the uniqueness of solutions of initial value problems, however, no conditions of sub(super) linearity are assumed. Some implicit necessary and sufficient conditions and some explicit sufficient conditions are given for all nontrivial solutions of this equation to be oscillatory or nonoscillatory. Also, it is proved that solutions of the equation are all oscillatory or all nonoscillatory and cannot be both.
| Original language | English (Ireland) |
|---|---|
| Article number | 185 |
| Number of pages | 0 |
| Journal | Electronic Journal Of Differential Equations |
| Volume | 2013 |
| Publication status | Published - 1 Aug 2013 |
Keywords
- Lienard system
- Nonlinear differential equations
- Oscillation
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Aghajani, A;O'regan, D;Roomi, V
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