Variational technique and principal solution in half-linear oscillation criteria
| Authors | |
|---|---|
| Year of publication | 2011 |
| Type | Article in Periodical |
| Magazine / Source | Appl. Math. Comput. |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Half-linear differential equation; variational technique; principal solution; oscillation criteria |
| Description | We investigate oscillatory properties of half-linear differential equations. The investigated half-linear equation is viewed as a perturbation of another (nonoscillatory) equation of the same form and perturbation is allowed both in the absolute term and in the derivative term. First, the Sturmian type theorem for solutions of the associated Riccati equation is established. In the second part of the paper we prove new half-linear oscillation criteria using the variational technique |
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