Oscillation for a class of odd-order delay parabolic differential equations
| Autor: | Fuqi Yin, Zigen Ouyang, Shengfan Zhou |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Pure mathematics
Delay parabolic differential equation Differential equation Applied Mathematics Mathematical analysis Boundary (topology) Domain (mathematical analysis) Eventually positive solution Oscillation Computational Mathematics Integer Bounded function Odd order Order (group theory) Boundary value problem Laplace operator Mathematics |
| Zdroj: | Journal of Computational and Applied Mathematics. 175(2):305-319 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/j.cam.2004.05.014 |
| Popis: | Some sufficient conditions and some sufficient and necessary conditions are established for the oscillation of a class of odd-order delay parabolic differential equations of the form ∂Nu(x,t)/∂tN - a(t)Δu + Σi=1npi(x,t)u(x,t - σi) - Σj=1mqi(x,t)u(x,t - τj) + h(t)f(u(x,t - r1),...,u(x,t - rl)) = 0, (x, t) ∈ Ω × [t0, + ∞) ≡ G, t0 ∈ R, where N is an odd integer, Ω is a bounded domain in RM with a smooth boundary ∂Ω and Δ is the Laplacian operation with three different boundary conditions. To some extent, our results extended and improved the oscillatory results of some references. Meanwhile, we corrected some mistakes in a main conclusion of reference (J. Comput. Appl. Math. 147 (2002) 263). |
| Databáze: | OpenAIRE |
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