Abstract

The paper deals with a singular non-linear partial differential equation tdu/dt = F(t, x, u, du/dx) with two independent variables ( t , x ) e C under the assumption that F(t,x,u,v) is holomorphic and F(0,.\,0,0) =0. Set y(x) = (dF/dv)(Q,x ). The result is extended to higher order equations. §

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