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

2025

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DOI 10.1134/s1995080224608142
Data confidence 70 medium
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Abstract

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.