Parameter-dependent linear ordinary differential equations and
topology of domains

J 2021

Parameter-dependent linear ordinary differential equations and topology of domains

POPOVYCH, Roman; Vyacheslav M. BOYKO a Michael KUNZINGER

Základní údaje

Originální název

Parameter-dependent linear ordinary differential equations and topology of domains

Autoři

POPOVYCH, Roman (804 Ukrajina, domácí); Vyacheslav M. BOYKO (804 Ukrajina) a Michael KUNZINGER (40 Rakousko, garant)

Vydání

Journal of Differential Equations, San DIego (USA), Academic Press Inc. Elsevier Science, 2021, 0022-0396

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

Journal of Differential Equations

Impakt faktor

Impact factor: 2.615

Kód RIV

RIV/47813059:19610/21:A0000105

Organizační jednotka

Matematický ústav v Opavě

DOI

https://doi.org/10.1016/j.jde.2021.03.001

UT WoS

000634823300017

Klíčová slova anglicky

Parameter-dependent linear ODE; Fundamental set of solutions; Wronskian; Distributional solutions

Štítky

MÚ

Příznaky

Mezinárodní význam, Recenzováno

Návaznosti

EF16_027/0008521, projekt VaV.

Změněno: 29. 4. 2022 12:55, Mgr. Aleš Ryšavý

Anotace

V originále

The well-known solution theory for (systems of) linear ordinary differential equations undergoes significant changes when introducing an additional real parameter. Properties like the existence of fundamental sets of solutions or characterizations of such sets via nonvanishing Wronskians are sensitive to the topological properties of the underlying domain of the independent variable and the parameter. We give a complete characterization of the solvability of such parameter-dependent equations and systems in terms of topological properties of the domain. In addition, we also investigate this problem in the setting of Schwartz distributions.

Citovat

POPOVYCH, Roman; Vyacheslav M. BOYKO a Michael KUNZINGER. Parameter-dependent linear ordinary differential equations and topology of domains. Journal of Differential Equations. San DIego (USA): Academic Press Inc. Elsevier Science, 2021, roč. 284, may, s. 546-575. ISSN 0022-0396. Dostupné z: https://doi.org/10.1016/j.jde.2021.03.001.

@article{60861,
   author = {Popovych, Roman and Boyko, Vyacheslav M. and Kunzinger, Michael},
   article_location = {San DIego (USA)},
   article_number = {may},
   doi = {https://doi.org/10.1016/j.jde.2021.03.001},
   keywords = {Parameter-dependent linear ODE; Fundamental set of solutions; Wronskian; Distributional solutions},
   language = {eng},
   issn = {0022-0396},
   journal = {Journal of Differential Equations},
   title = {Parameter-dependent linear ordinary differential equations and topology of domains},
   url = {https://www.sciencedirect.com/science/article/pii/S0022039621001522},
   volume = {284},
   year = {2021}
}

TY  - JOUR
ID  - 60861
AU  - Popovych, Roman - Boyko, Vyacheslav M. - Kunzinger, Michael
PY  - 2021
TI  - Parameter-dependent linear ordinary differential equations and topology of domains
JF  - Journal of Differential Equations
VL  - 284
IS  - may
SP  - 546-575
EP  - 546-575
PB  - Academic Press Inc. Elsevier Science
SN  - 00220396
KW  - Parameter-dependent linear ODE
KW  - Fundamental set of solutions
KW  - Wronskian
KW  - Distributional solutions
UR  - https://www.sciencedirect.com/science/article/pii/S0022039621001522
N2  - The well-known solution theory for (systems of) linear ordinary differential equations undergoes significant changes when introducing an additional real parameter. Properties like the existence of fundamental sets of solutions or characterizations of such sets via nonvanishing Wronskians are sensitive to the topological properties of the underlying domain of the independent variable and the parameter. We give a complete characterization of the solvability of such parameter-dependent equations and systems in terms of topological properties of the domain. In addition, we also investigate this problem in the setting of Schwartz distributions.
ER  -

POPOVYCH, Roman; Vyacheslav M. BOYKO a Michael KUNZINGER. Parameter-dependent linear ordinary differential equations and topology of domains. \textit{Journal of Differential Equations}. San DIego (USA): Academic Press Inc. Elsevier Science, 2021, roč.~284, may, s.~546-575. ISSN~0022-0396. Dostupné z: https://doi.org/10.1016/j.jde.2021.03.001.

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