. Some new oscillation criteria are established for second order neutral partial functional differential equation of the form ∂ ∂t " r(t) ∂ ∂t u(x, t) +X l i=1 λi(t)u(x, t - τi) !$\#$= a(t)△u(x, t) +Xs k=1 ak(t)△u(x, t - ρk(t)) - q(x, t)u(x, t) - Xm j=1 qj (x, t)fj (u(x, t - σj )), (x, t) ∈ {\textohm} {\texttimes} [0, $\infty$) = G under the conditions R$\infty$ t0 r -1 (s)ds = $\infty$ and R$\infty$ t0 r -1 (s)ds \< $\infty$, respectively. where {\textohm} is a bounded domain in RN with a piecewise smooth boundary ∂{\textohm} and △ is the laplacian in the Euclidean N-space RN .

}, keywords = {34C10}, issn = {1056-2176}, url = {https://acadsol.eu/dsa/articles/19/18-DSA-248.pdf}, author = {RUN XU and FANWEI MENG} }