Boundary-Value Problem for Systems of Convolutional Equations in Anisotropic Functional Spaces

In this paper, anisotropic classes of well-posed Cauchy problems and boundary-value problems for systems of convolutions equations are obtained. For a particular case of differential equations, a hypersurface of conjugate orders of the corresponding polynomial is used, and various classes of well-po...

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Published inJournal of mathematical sciences (New York, N.Y.) Vol. 277; no. 5; pp. 770 - 773
Main Author Makarov, A. A.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 22.12.2023
Springer
Springer Nature B.V
Subjects
Anisotropy
Boundary value problems
Cauchy problems
Differential equations
Hyperspaces
Mathematical analysis
Mathematics
Mathematics and Statistics
Polynomials
Well posed problems
35A05
35S10
Fourier transform
anisotropic space of functions
boundary-value problem
convolution equation
hypersurface of conjugate orders
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ISSN1072-3374
1573-8795
DOI10.1007/s10958-023-06886-0

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Summary:In this paper, anisotropic classes of well-posed Cauchy problems and boundary-value problems for systems of convolutions equations are obtained. For a particular case of differential equations, a hypersurface of conjugate orders of the corresponding polynomial is used, and various classes of well-posed problems are obtained.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06886-0