On differential systems in Sobolev spaces with generic inhomogeneous boundary conditions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00600608" target="_blank" >RIV/67985840:_____/24:00600608 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-031-57005-6_5" target="_blank" >https://doi.org/10.1007/978-3-031-57005-6_5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-57005-6_5" target="_blank" >10.1007/978-3-031-57005-6_5</a>
Alternative languages
Result language
angličtina
Original language name
On differential systems in Sobolev spaces with generic inhomogeneous boundary conditions
Original language description
We study linear systems of ordinary differential equations of an arbitrary order on a finite interval with the most general (generic) inhomogeneous boundary conditions in Sobolev spaces. We investigate the character of solvability of inhomogeneous boundary-value problems, prove their Fredholm properties, and find the indices, the dimensions of the kernel, and the cokernel of these problems. Moreover, we obtained necessary and sufficient conditions for continuity in a parameter of solutions to the introduced problems in Sobolev spaces.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Women in Analysis and PDE
ISBN
978-3-031-57004-9
ISSN
2297-0215
e-ISSN
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Number of pages
11
Pages from-to
37-47
Publisher name
Springer
Place of publication
Cham
Event location
Wien
Event date
May 12, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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