Publication details
Half-linear differential equations: Linearization technique and its application
| Authors | |
|---|---|
| Year of publication | 2007 |
| Type | Article in Periodical |
| Magazine / Source | J. Math. Anal. Appl. |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Half-linear oscillation theory; oscillation and nonoscillation; linearization technique; Riccati type equation; principal solution |
| Description | Oscillatory properties of the half-linear second order differential equation are investigated, where this equation is viewed as a perturbation of an equation of the same form, and these properties are compared with the oscillatory behavior of a certain associated {\it linear} second order differential equation. As a corollary, a conjecture posed by the first author in the paper published in J. Math. Anal. Appl. 343 (2006), 426-440, is proved and some new research problems are formulated. |
| Related projects: |