On higher order parabolic functional differential equations
โ Scribed by L. Simon
- Publisher
- Springer Netherlands
- Year
- 1995
- Tongue
- English
- Weight
- 331 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0031-5303
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๐ SIMILAR VOLUMES
Some sufficient conditions are established for the oscillation of higher-order neutral partial functional differential equations of the form 5 [u(z, t) -p(t)u(r, t -T)] = a(t)Au(s, t) + f: ak(t)Au(z, t -&(t)) k=l (2,t)Enx[o,m)EG, j=l where n 2 1 is an odd integer, fl is a bounded domain in RN with
In the paper existence results for degenerate quasilinear parabolic initial boundary value problems of higher order are proved. The weak solution is sought in a suitable weighted Sobolev space using the generalized degree theory. Mathematics subject clas+xtion numbera, 1991. Primary 35K3!j. Key word
New oscillation criteria for nth-order functional differential equations of the form when g(t) is a retarded argument, i.e., g(t) < t and g(t) is an advanced argument, i.e., g(t) > t are established.