Detailed Information on Publication Record
2021
Parameter-dependent linear ordinary differential equations and topology of domains
POPOVYCH, Roman, Vyacheslav M. BOYKO and Michael KUNZINGERBasic information
Original name
Parameter-dependent linear ordinary differential equations and topology of domains
Authors
POPOVYCH, Roman (804 Ukraine, belonging to the institution), Vyacheslav M. BOYKO (804 Ukraine) and Michael KUNZINGER (40 Austria, guarantor)
Edition
Journal of Differential Equations, San DIego (USA), Academic Press Inc. Elsevier Science, 2021, 0022-0396
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
RIV identification code
RIV/47813059:19610/21:A0000105
Organization unit
Mathematical Institute in Opava
UT WoS
000634823300017
Keywords in English
Parameter-dependent linear ODE; Fundamental set of solutions; Wronskian; Distributional solutions
Tags
Tags
International impact, Reviewed
Links
EF16_027/0008521, research and development project.
Změněno: 29/4/2022 12:55, Mgr. Aleš Ryšavý
Abstract
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.