Oscillation of solutions of neutral parabolic differential equations with oscillating coefficients
โ Scribed by N. Parhi; Sunita Chand
- Book ID
- 111492938
- Publisher
- SP Versita
- Year
- 2008
- Tongue
- English
- Weight
- 215 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0139-9918
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
obtain some new results for oscillation of all solutions of the neutral differential equation with positive and negative coefficients i [y(t) -R(Mt -r)l + P(Mt -7) -Q(Mt -0) = 0, where P,Q, R E C([to, co),R), r E (O,m), and r,(~ E [O,w). These new results are obtained by establishing and using some
some necessary conditions are established for the nonoscillation of solutions of the second-order neutral delay differential equation [a(t)(r(t) +p(t)r( )) = 0. Using these results, we obtain some oscillation criteria for the above equation
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