Abstract
In this paper, we consider the second-order nonlinear dynamic equations (p(t)yΔ(t))Δ + q(t)f(y(τ (t))) = 0 and (p(t)y Δ(t))Δ + q(t)f(yσ(t)) = 0 on an isolated time scale T. Our first goal is to establish a relationship between the oscillatory behaviour of these equations. Here we assume that τ : T → T. We also give two results about the behaviour of the linear form of the latter equation on a general time scale that is unbounded above. We use the Riccati transformation technique to obtain our results.
Original language | English |
---|---|
Pages (from-to) | 189-205 |
Number of pages | 17 |
Journal | International Journal of Dynamical Systems and Differential Equations |
Volume | 3 |
Issue number | 1-2 |
DOIs | |
State | Published - 2011 |
Keywords
- Dynamic equations
- Functional equation
- Oscillation
- Time scale