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Oscillation for a class of neutral parabolic differential equations

✍ Scribed by Zigen Ouyang; Shengfan Zhou; Fuqi Yin

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
522 KB
Volume
50
Category
Article
ISSN
0898-1221

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✦ Synopsis

Some sufficient condlt]ons are estabhshed for the oscillation of a class of neutral parabolic differential equations of the form,

oN (u(x,t) --k~=l)~ku(x,t --Pk))

OtlV -a(t)&u+ Ep~(x,t)u(x,t--a~)-qj (x,t)u(x,t-Tj)

where N is an odd number, f~ is a bounded domain in R M with a smooth boundary 0f~, and A is the Laplacian operation with three different boundary conditmns. We obtained some new oscillatory conditions for the odd-order neutral parabolic dlfferentml equation. To some extent, our results are new oscillatory conditmns, and extended some oscillatory results of some references ~) 2005 Elsewer Ltd.

πŸ“œ SIMILAR VOLUMES

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✍ Peiguang Wang; Weigao Ge πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 316 KB

This paper investigates a class of parabolic equations with distributed deviating arguments, and obtains oscillatory theorems for such equations satisfying three kinds of boundary value conditions.