52 citations · 786 across the 59 of their papers we have counts for
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On a general solution of the one-dimensional stationary Schrodinger equation
Vladislav V. Kravchenko
The general solution of the one-dimensional stationary Schroedinger equation in the form of a formal power series is considered. Its efficiency for numerical analysis of initial va…
Solution of the equation d/dx(pdu/dx)+qu=cu by a solution of the equation d/dx(pdu/dx)+qu=0
Vladislav V. Kravchenko
We give a simple solution of the equation d/dx(pdu/dx)+qu=cu whenever a nontrivial solution of d/dx(pdu/dx)+qu=0 is known. The method developed for obtaining this result is based o…
On a complex differential Riccati equation
Kira V. Khmelnytskaya, Vladislav V. Kravchenko
We consider a nonlinear partial differential equation for complex-valued functions which is related to the two-dimensional stationary Schrodinger equation and enjoys many propertie…
On Beltrami fields with nonconstant proportionality factor on the plane
Vladislav V. Kravchenko, Hector Oviedo
We consider the equation rotB+aB=0 (1) in the plane with a being a real-valued function and show that it can be reduced to a Vekua equation of a special form. In the case when a de…