The Structure of a Set of Continuous Solutions of Systems of Linear Functional Difference Equations.

This paper considers the structure of a set of systems of continuous solutions in a number of cases depending on the hypotheses for the matrices A, B, number q and their properties. Using the methods of the theory of differential and difference equations, we define new conditions for the existence of continuous solutions of these systems of equations. Specifically, we develop the method of their construction and examine their properties. In theorems 1 and 3 we obtain the results under the conditions a_i1, i = 1,…, n, q > 1, (t≤0), 0 <a_i < 1, i = 1,…,m, q > 1, (t ≥ 0), whilst in theorems 5, 6 we obtain the research results under Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. [ABSTRACT FROM AUTHOR]