Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales
ABSTRACT AND APPLIED ANALYSIS, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Publication Date: 2012
- Doi Number: 10.1155/2012/253107
- Journal Name: ABSTRACT AND APPLIED ANALYSIS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Open Archive Collection: AVESIS Open Access Collection
- Erciyes University Affiliated: Yes
Abstract
The oscillation of solutions of the second-order nonlinear dynamic equation (r(t)(x(Delta)(t))(gamma))(Delta) + p(t)(x(Delta)(t))(gamma) + f(t, x(g(t))) = 0, with damping on an arbitrary time scale T, is investigated. The generalized Riccati transformation is applied for the study of the Kamenev-type oscillation criteria for this nonlinear dynamic equation. Several new sufficient conditions for oscillatory solutions of this equation are obtained.