This book discusses theoretical and applied aspects of Sturm-Liouville theory and its generalization. It introduces and classifies generalized Sturm-Liouville problems in three different spaces: continuous, discrete, and q-discrete spaces, focusing on special functions that are solutions of a regular or singular Sturm-Liouville problem. Further, it describes the conditions under which the usual Sturm-Liouville problems with symmetric solutions can be extended to a larger class, particularly highlighting the solutions of generalized problems that result in new orthogonal sequences of continuous or discrete functions.
Sturm-Liouville theory is central to problems in many areas, such as engineering, mathematics, physics, and biology. This accessibly written book on the topic is a valuable resource for a broad interdisciplinary readership, from novices to experts.
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Illustrationen
105 s/w Abbildungen, 2 farbige Abbildungen
XI, 313 p. 107 illus., 2 illus. in color.
Dateigröße
ISBN-13
978-3-030-32820-7 (9783030328207)
DOI
10.1007/978-3-030-32820-7
Schweitzer Klassifikation
Generalized Sturm-Liouville Problems in Continuous Spaces.- Generalized Sturm-Liouville Problems in Discrete Spaces.- Generalized Sturm-Liouville Problems in q-spaces.
