On a generalization of the Nagumo–Brezis theorem

Authors

DOI:

https://doi.org/10.12697/ACUTM.2024.28.03

Keywords:

Nagumo–Brezis theorem, flow-invariant sets, MC^k-Fréchet manifolds

Abstract

We generalize the Nagumo–Brezis theorem to the category of MCk-Fréchet manifolds. Then we will apply the obtained result to locate a critical value of a real-valued mapping over these manifolds.

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Author Biographies

Kaveh Eftekharinasab, National Academy of Sciences of Ukraine

Institute of Mathematics

Ruslana Horidko, National Aviation University

Higher Mathematics Deparment

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Published

2024-06-03

Issue

Vol. 28 No. 1 (2024)

Section

Articles