POPOVYCH, Roman, Vyacheslav M. BOYKO and 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, vol. 284, may, p. 546-575. ISSN 0022-0396. Available from: https://dx.doi.org/10.1016/j.jde.2021.03.001. |
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@article{60861, author = {Popovych, Roman and Boyko, Vyacheslav M. and Kunzinger, Michael}, article_location = {San DIego (USA)}, article_number = {may}, doi = {http://dx.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 and 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, vol.~284, may, p.~546-575. ISSN~0022-0396. Available from: https://dx.doi.org/10.1016/j.jde.2021.03.001.
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