Depassivation of Ion-Exchange Membranes in Electrodialysis

Procedures were developed to prevent precipitation on the ion-exchange membrane surface in demineralization of natural hydrocarbonate water by electrodialysis.     

Periodic solutions of evolutionary equations

An analog of L. Cesari's method for a very general class of evolutionary equations is investigated. A result is proved concerning the coincidence of rotation of a Cesari field with the rotation of a translation operator (on boundaries of naturally corresponding regions), and Galerkin's method of obtaining periodic solutions is studied. The results obtained are new for ordinary differential equations.Translated from Matematicheskie Zametki, Vol. 9, No. 6, pp. 651–662, June, 1971.     

Numerical construction of the continuous spectrum Eigenfunctions of the three body Schrödinger operator: Three particles on the axis with short-range pair potentials

Based on a new method of the numerical construction of the three-body Schrödinger operator continuous spectrum eigenfunctions an analysis of the solutions of the problem of three identical particles on the axis with quickly decreasing repulsive pair potentials is offered. The initial problem is reduced to solving an inhomogeneous boundary problem for an elliptical partial differential equation in a twodimensional domain as a circle with radiation boundary conditions, with a ray approximation of the solution with diffraction corrections, contributing to a smoothness of a solution sought, being used. The approach offered allows a natural generalization for a case of slowly decreasing potentials of the Coulomb type and higher configuration space dimensions.