Boundary control for a class of pseudo-parabolic differential equations
โ Scribed by Hasan, Agus; Aamo, Ole Morten; Foss, Bjarne
- Book ID
- 122089518
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 411 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0167-6911
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๐ SIMILAR VOLUMES
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 0
We study a class of nonlinear evolutionary equations generated by a pseudo-differential operator with the elliptic principal symbol and with nonlinearities of the form G(u x ) where cฮท 2 โค G(ฮท) โค Cฮท 2 for large |ฮท|. We demonstrate existence of a universal absorbing set, and a compact attractor, and