Nonlocal problem for the system of nonlinear differential equations with separated boundary conditions

Abstract

The system of two nonlinear rst order di erential equations with separated boundary conditions and nonlocal integral condition is considered. The system simulates a shape of free surface of micro volume liquid metal drop with non xed radius on the horizontal plane. The boundary problem is brought to the initial one. The iterative process accounting the curve of the crest of the drop, depending on some geometrical and mechanical parameters, and the radius of adhesion of the drop on the plane, is proposed.