A TWO-POINT PROBLEM IN SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS

We investigate the correctness of a problem with local two-point conditions in the time variable and periodicity conditions in the spatial coordinates for systems of partial differential equations that are not solvable for the highest time derivative. We establish conditions for the existence and uniqueness of the solution and prove metric theorems to estimate the lower bounds of small denominators that arise during the construction of the solution.

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Publication Details

Journal
South East Asian J of Mathematics and Mathematical Sciences
Published
2024-08-30
DOI
https://doi.org/10.56827/seajmms.2024.2002.21
Primary Topic
Numerical methods for differential equations
Type
article
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article

A TWO-POINT PROBLEM IN SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS

І.С. Клюс
South East Asian J of Mathematics and Mathematical Sciences
Numerical methods for differential equations
article

A TWO-POINT PROBLEM IN SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS

І.С. Клюс
article en

Abstract

We investigate the correctness of a problem with local two-point conditions in the time variable and periodicity conditions in the spatial coordinates for systems of partial differential equations that are not solvable for the highest time derivative. We establish conditions for the existence and uniqueness of the solution and prove metric theorems to estimate the lower bounds of small denominators that arise during the construction of the solution.

South East Asian J of Mathematics and Mathematical SciencesVol. 20(02)
National University "Kyiv Aviation Institute" (UA)
Openalex Percentile: Top 61%
Numerical methods for differential equations
DOIOpen Access PDFOpenAlex
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A TWO-POINT PROBLEM IN SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS — І.С. Клюс · South East Asian J of Mathematics and Mathematical Sciences (2024) | TGRS Research Map | TGRS