Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053972 | Applied Mathematics Letters | 2018 | 9 Pages |
Abstract
The purpose of this paper is to provide an oscillation theorem that can be applied to half-linear differential equations with time-varying coefficients. A parametric curve by the coefficients is focused in order to obtain our theorem. This parametric curve is a generalization of the curve given by the characteristic equation of the second-order linear differential equation with constant coefficients. The obtained theorem is proved by transforming the half-linear differential equation to a standard polar coordinates system and using phase plane analysis carefully.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Jitsuro Sugie, Kazuki Ishibashi,