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- Title
Oscillation of Even Order Nonlinear Functional Dynamic Equations on Time Scales.
- Authors
Da-Xue Chen; Cun-Yun Nie
- Abstract
The paper investigates the oscillation of even order nonlinear functional dynamic equation of the form ... on [t0, ∞)T with sup T = ∞ and limt→∞ r(t) = ∞. We establish several new oscillation criteria for the equation by employing Kiguradze's lemma, the Taylor monomials on time scales and a generalized Riccati technique. The obtained results extend and supplement certain known results in the literature. Some interesting examples are shown to illustrate our main results.
- Subjects
FUNCTIONAL equations; RICCATI equation; DYNAMICAL systems; MATHEMATICS theorems; MATHEMATICAL models
- Publication
IAENG International Journal of Applied Mathematics, 2016, Vol 46, Issue 4, p535
- ISSN
1992-9978
- Publication type
Article