A сondition for the existence of a unique equilibrium position of the Cauchy problem for linear matrix differential algebraic equations

Abstract

Sufficient conditions for the existence of a unique equilibrium position of the Cauchy problem for differential-algebraic equations are proposed. The paper proposes a constructive scheme of the equilibrium position in the Cauchy problem in the general case, when a linear operator L, corresponding to homogeneous of the equation, has no inverse.