On the Construction of General Solution to an Unstable System of Differential Equations.

The paper proposes an approach to constructing the general solution of a -dimensional system of differential equations with constant coefficients whose fundamental system consists of bounded and unbounded solutions as . The algorithm is based on preliminary solution of two matrix algebraic Riccati equations and stable linear Cauchy problems. The method is implemented for a finite-dimensional equation of radiative transfer and for a linear Hamiltonian system. [ABSTRACT FROM AUTHOR]