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  4. The solution of an infinite system of ternary differential equations

The solution of an infinite system of ternary differential equations

MMC.
2022;
Volume 9, Number 4
: pp. 833–841
https://doi.org/10.23939/mmc2022.04.833
Received: August 11, 2022
Revised: October 09, 2022
Accepted: October 10, 2022

Mathematical Modeling and Computing, Vol. 9, No. 4, pp. 833–841 (2022)

Authors:
  1. G. Ibragimov
  2. H. Qo'shaqov
  3. I. Turgunov
  4. I. A. Alias
1
University of Digital Economics and Agrotechnologies
2
Department of Mathematics, Andijan State University
3
National University of Uzbekistan
4
Department of Mathematics and Statistics, Universiti Putra Malaysia

The present paper is devoted to an infinite system of differential equations.  This system consists of ternary differential equations  corresponding to $3\times3$ Jordan blocks.  The system is considered in the Hilbert space $l_2$.  A theorem about the existence and uniqueness of solution of the system is proved.

differential equation
infinite system
existence and uniqueness of solution
Hilbert space
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