| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 11021731 | Journal of Mathematical Analysis and Applications | 2019 | 16 Pages |
Abstract
We prove some Picone-type identities and inequalities for a class of first-order nonlinear dynamic systems and derive various weighted inequalities of Wirtinger type and Hardy type on time scales. As applications we study oscillatory and related properties of these systems including Reid's roundabout theorem on disconjugacy, Sturm's separation and comparison theorems, as well as a variational method in the oscillation theory.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nguyen Du Vi Nhan, Dinh Thanh Duc, Vu Kim Tuan, Tran Dinh Phung,