DOAJ Open Access 2022

On bounded solutions of linear systems of differential equations with unbounded coefficients

R.Ye. Uteshova Ye.V. Kokotova

Abstrak

This paper deals with a problem of finding a bounded solution of a system of nonhomogeneous linear differential equations with an unbounded matrix of coefficients on a finite interval. The right-hand side of the equation belongs to a space of continuous functions bounded with some weight; the weight function is chosen taking into account the behavior of the coefficient matrix. The problem is studied using a modified version of the parameterization method with non-uniform partitioning. Necessary and sufficient conditions of well-posedness of the problem are obtained in terms of a bilaterally infinite matrix of special structure.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

R.Ye. Uteshova

Ye.V. Kokotova

Format Sitasi

APA MLA BibTeX

Uteshova, R., Kokotova, Y. (2022). On bounded solutions of linear systems of differential equations with unbounded coefficients. https://doi.org/10.31489/2022m4/107-116

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.31489/2022m4/107-116
Akses: Open Access ✓