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Let any finite or infinite set of points having no finite limit point be prescribed and associate with each of its points a principal part, i.e., a rational function of the ...

The partial differential equation P_t=P_(xx)-uP_x+partial/(partialx){[u-F(x)]P}.

The system of partial differential equations (partial_t+partial_z^3+partial_(z^_)^3)v+partial_z(uv)+partial_(z^_)(vw) (1) partial_(z^_)u=3partial_zv (2) ...

The partial differential equation

The partial differential equation u_(xy)+(N(u_x+u_y))/(x+y)=0.

The partial differential equation u_t=u_(xxx)u^3.

The partial differential equation u_t=del ·(u^mdel u).

The partial differential equation ((partial^2)/(partialt^2)-(partial^2)/(partialx^2))((u_(xy))/u)+2(u^2)_(xt)=0.

The partial differential equation u_(xy)+(alphau_x-betau_y)/(x-y)=0.

A partial order defined by (i-1, i), (i+1, i) for odd i.