Τίτλος: Direct and inverse Sturm-Liouville problems: A method of solution
Ομιλητής: Vladislav V. Kravchenko (Cinvestav, Mexico & Southern Federal
University, Russia)
Σύνδεσμος: https://meet.google.com/sru-gxoc-gzw
Ημερομηνία: Παρασκευή 21/5/2021
Ώρα: 15:15
Περίληψη: I will present some recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals which result in a new approach for solving direct and inverse spectral and scattering problems [1].
It is based on the notion of transmutation (transformation) operators and their efficient construction. Analytical representations for solutions of Sturm-Liouville equations are derived in the form of functional series revealing interesting special features and lending themselves to direct and simple numerical solution of a wide variety of problems.
[1] V. V. Kravchenko “Direct and inverse Sturm-Liouville problems: A method of solution”. Birkhäuser, Series: Frontiers in Mathematics, 2020.