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Representation of solutions of linear discrete systems with constant coefficients and pure delay. (English) Zbl 1139.39027
Summary: The purpose of this contribution is to develop a method for construction of solutions of linear discrete systems with constant coefficients and with pure delay. Solutions are expressed with the aid of a special function called the discrete matrix delayed exponential having between every two adjoining knots the form of a polynomial. These polynomials have increasing degrees in the right direction. Such approach results in a possibility to express the initial Cauchy problem in the closed form.
MSC:
39A12Discrete version of topics in analysis
34K06Linear functional-differential equations
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