Oscillation of higher-order neutral partial functional differential equations

✍ Scribed by Wei Nian LI; L. Debnath

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 318 KB
• Volume: 16
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(03)00031-4

✦ Synopsis

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 a piecewise smooth boundary Kl, and A is the Laplacian in Euclidean N-space RN.