| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1709795 | Applied Mathematics Letters | 2010 | 5 Pages |
Abstract
This paper presents a new comparison theorem for the oscillation of solutions of second-order nonlinear differential equations of the form (ϕp(x′))′+1tpf(x)=0, where p>1p>1 and ϕp(x)=|x|p−2xϕp(x)=|x|p−2x and f(x)f(x) satisfies the signum condition xf(x)>0xf(x)>0 if x≠0x≠0, but is not assumed to be monotone. Combining the comparison theorem and known oscillation criteria, we can also derive new oscillation criteria for the equations. Proof is established by means of phase plane analysis of systems.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Naoto Yamaoka,