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- Title
On Delay-Independent Criteria for Oscillation of Higher-Order Functional Differential Equations.
- Authors
Yuangong Sun
- Abstract
We investigate the oscillation of the following higher-order functional differential equation: x(n)(t) + q(t)|x(t-τ)|λ-1x(t-τ) = e(t), where q(t) and e(t) are continuous functions on (t0,∞), 1 > λ > 0 and τ ≠ 0 are constants. Unlike most of delay-dependent oscillation results in the literature, two delay-independent oscillation criteria for the equation are established in both the case τ > 0 and the case τ < 0 under the assumption that the potentials q(t) and e(t) change signs on (t0,∞).
- Subjects
OSCILLATION theory of functional differential equations; MATHEMATICAL constants; GENERALIZATION; PROOF theory; SET theory; TIME delay systems; CONTINUOUS functions
- Publication
Abstract & Applied Analysis, 2011, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2011/173158