On a complex differential Riccati equation
نویسندگان
چکیده
We consider a nonlinear partial differential equation for complexvalued functions which is related to the two-dimensional stationary Schrödinger equation and enjoys many properties similar to those of the ordinary differential Riccati equation as, e.g., the famous Euler theorems, the Picard theorem and others. Besides these generalizations of the classical “one-dimensional” results we discuss new features of the considered equation like, e.g., an analogue of the Cauchy integral theorem.
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