SHARPENING OF THE THEOREM ON THE COMPLETE DIFFERENTIAL FOR FUNCTIONS OF TWO VARIABLES

In the work, a condition is obtained under which the expression ๐‘ƒ(๐‘ฅ, ๐‘ฆ)๐‘‘๐‘ฅ + ๐‘„(๐‘ฅ, ๐‘ฆ)๐‘‘๐‘ฆ 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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-09-03
DOI
https://doi.org/10.5281/zenodo.17052516
Primary Topic
Genomics and Phylogenetic Studies
Type
article
Field-Weighted Citation Impact
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article

SHARPENING OF THE THEOREM ON THE COMPLETE DIFFERENTIAL FOR FUNCTIONS OF TWO VARIABLES

Zenodo (CERN European Organization for Nuclear Research)
Genomics and Phylogenetic Studies
article

SHARPENING OF THE THEOREM ON THE COMPLETE DIFFERENTIAL FOR FUNCTIONS OF TWO VARIABLES

article en

Abstract

In the work, a condition is obtained under which the expression ๐‘ƒ(๐‘ฅ, ๐‘ฆ)๐‘‘๐‘ฅ + ๐‘„(๐‘ฅ, ๐‘ฆ)๐‘‘๐‘ฆ 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.

Zenodo (CERN European Organization for Nuclear Research)
Donetsk State University of Management (UA), Institute of Applied Mathematics and Mechanics (UA)
Openalex Percentile: Top 49%
Genomics and Phylogenetic Studies
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SHARPENING OF THE THEOREM ON THE COMPLETE DIFFERENTIAL FOR FUNCTIONS OF TWO VARIABLES ยท Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS