Parameter-dependent linear ordinary differential equations and topology of domains

• Published in: arXiv.org
• Main Authors: Boyko, Vyacheslav M, Kunzinger, Michael, Popovych, Roman O
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 19.03.2021
• Subjects: Differential equations; Domains; Independent variables; Mathematical analysis; Mathematics - Classical Analysis and ODEs; Ordinary differential equations; Parameters; Properties (attributes); Topology

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 sensiti...