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- Title
OSCILLATION THEOREMS FOR SECOND-ORDER NEUTRAL FUNCTIONAL DYNAMIC EQUATIONS ON TIME SCALES.
- Authors
CUNCHEN GAO; TONGXING LI; SHUHONG TANG; ETHIRAJU THANDAPANI
- Abstract
In this article, we obtain several comparison theorems for the second-order neutral dynamic equation (r(t)([x(t) + p(t)x(Τ(t))]Δ)γ)Δ + q1(t)xλ(δ(t)) + q2(t)xβ(η(t)) = 0, where γ,λ,β are ratios of positive odd integers. We compare such equation with the first-order dynamic inequalities in the sense that the absence of the eventually positive solutions of these first-order inequalities implies the oscillation of the studied equation.
- Subjects
DYNAMICS; MATHEMATICAL models; INTEGERS; MATHEMATICAL inequalities; OSCILLATIONS; ORDER statistics
- Publication
Electronic Journal of Differential Equations, 2011, Vol 2011, p1
- ISSN
1550-6150
- Publication type
Article