Sharpening of the Theorem on the Complete Differential for Functions of Two Variables
Year: 2025
Type: article
Abstract: In the work, a condition is obtained under which the expression 𝑃(𝑥, 𝑦)𝑑𝑥 + 𝑄(𝑥, 𝑦)𝑑𝑦 is a complete differential. This condition is related to the equality of zero of curvilinear integrals along the boundaries of squares congruent to the given one.
Authors: Volchkov, V. V., Seroshtanova, K.V.
Institution: Institute of Applied Mathematics and Mechanics
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7083671655
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