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- Title
Interval Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales.
- Authors
Yang-Cong Qiu; Qi-Ru Wang
- Abstract
Using functions in some function classes and a generalized Riccati technique, we establish interval oscillation criteria for second-order nonlinear dynamic equations on time scales of the form (p(t))φ(x(t))xΔ(t))Δ + f(t, x(σ(t))) = 0. The obtained interval oscillation criteria can be applied to equations with a forcing term. An example is included to show the significance of the results.
- Subjects
RICCATI equation; OSCILLATIONS; NONLINEAR equations; DYNAMICS; MATHEMATICAL models; EQUATIONS
- Publication
Discrete Dynamics in Nature & Society, 2012, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2012/952932