SCHEME OF THE CHAIN METHOD

Authors

  • Viktor Kruglov Odessa I.I. Mechnikov National University

DOI:

https://doi.org/10.30888/2709-2267.2025-34-00-029

Keywords:

chain, difference equation, functions of integer argument

Abstract

A scheme of the chain method for solving a finite linear difference equation given in this paper, and a formula for this equation`s general solution of is given. As a result, the formula for the general solution of a difference equation with constant coef

References

Kruglov V.E. (2009). Construction of a fundamental system of solution of a linear finite-order difference equation. UMJ, Vol. 61(6), Pp. 923 – 944.

Kruglov V.E. (2016). On n-arithmetical triangles constructed for polynomial coefficients. RM, Vol. 60(8), P. 29.

Kruglov V.E. (2008). Solution of a second-order Poincare-Perron-type equation and differential equations that can be reduced to it. UMJ, Vol. 60(7), Pp. 1055 – 1071.

Kruglov V.E. (2010). Solution of the linear differential equation of n-th order with four singular points. Annales Univ. Sci. Budapest, Sect. Comp., Vol. 32, Pp. 23 – 35.

Kruglov V.E. (2013). Solution of the linear second-order differential equation with coefficients analytic in the vicinite of a fuchsia zero point. UMJ, Vol (64(10), Pp. 1572 – 1585.

Kruglov V.E. (2023). The chain method for solving a finite-order linear difference equation and some of its applications. Researches in Mathematics and Mechanics. Vol. 28. Issue 1 – 2 (41 – 42), Pp. 40 – 46.

Published

2025-09-30

How to Cite

Kruglov, V. (2025). SCHEME OF THE CHAIN METHOD. Sworld-Us Conference Proceedings, 1(usc34-00), 54–59. https://doi.org/10.30888/2709-2267.2025-34-00-029