The main aim of this paper is to develop some basic theories of neutral stochastic functional differential equations (NSFDEs). Firstly, we establish a local existenceuniqueness theorem under the local ...
On bounded domains $\Omega \subset {\Bbb R}^{2}$ we consider the anisotropic problems u-auxx + u-buyy = p(x, y) in Ω with a, b > 1 and u = ∞ on ∂ Ω and ucuxx + uduyy + q(x, y) = 0 in Ω with c, d ≥ 0 ...