Constructing a Broad-Sense Solution to Nonlinear First-Order Partial Differential Systems

In this article, solutions in a broad sense are explored with the periodic conditions of a first-order nonlinear partial differential system. A fundamental matrix in a broad sense is constructed. Sufficient conditions for the existence and uniqueness of the periodic solution in a broad sense for a nonlinear system are obtained.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.1134/s1995080224608142
Citations
3
Primary Topic
Numerical methods for differential equations
Type
article
Field-Weighted Citation Impact
7.89
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article

Constructing a Broad-Sense Solution to Nonlinear First-Order Partial Differential Systems

Altynshash Bekbauova
3 citations
Lobachevskii Journal of Mathematics
Numerical methods for differential equations
7.89
article

Constructing a Broad-Sense Solution to Nonlinear First-Order Partial Differential Systems

Altynshash Bekbauova
article en
3 citations

Abstract

In this article, solutions in a broad sense are explored with the periodic conditions of a first-order nonlinear partial differential system. A fundamental matrix in a broad sense is constructed. Sufficient conditions for the existence and uniqueness of the periodic solution in a broad sense for a nonlinear system are obtained.

Lobachevskii Journal of MathematicsVol. 46(1)
Aktobe Regional State University named after K.Zhubanov (KZ)
Openalex Percentile: Top 3%
Numerical methods for differential equations
7.89
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Constructing a Broad-Sense Solution to Nonlinear First-Order Partial Differential Systems — Altynshash Bekbauova · Lobachevskii Journal of Mathematics (2025) | TGRS Research Map | TGRS