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Representation of solutions of linear discrete systems with constant coefficients and pure delay
Advances in Difference Equations volume 2006, Article number: 080825 (2006)
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 initial Cauchy problem in the closed form.
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Diblík, J., Khusainov, D. Representation of solutions of linear discrete systems with constant coefficients and pure delay. Adv Differ Equ 2006, 080825 (2006). https://doi.org/10.1155/ADE/2006/80825
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Analysis
- Cauchy Problem