MATHEMATICS

Representation of solutions of the differential systems of a third-order in the form of exponential series out of linear fractional functions

A. S. Lysiuk

Y. Kupala Grodno State University, Grodno, Belarus

Abstract: Five autonomous systems of three differential equations with quadratic right-hand side are considered. The issues of the series of convergence which represent the solution of this systems, under a certain mode of transformations, the invariance in four of the given systems and existence of three-parameter solutions with movable singular line were studied.

Keywords: essential singularity, movable singular line, area of the uniqueness of solution, Dirichlet series, abscissa of absolute convergence.

UDC: 517.925

Received: 28.04.2014