Format:
1 Online-Ressource (XI, 313 p. 107 illus., 2 illus. in color.)
ISBN:
9783030328207
Series Statement:
Frontiers in mathematics
Content:
Generalized Sturm-Liouville Problems in Continuous Spaces -- Generalized Sturm-Liouville Problems in Discrete Spaces -- Generalized Sturm-Liouville Problems in q-spaces.
Content:
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.
Additional Edition:
ISBN 9783030328191
Additional Edition:
ISBN 9783030328214
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030328191
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030328214
Language:
English
Keywords:
Sturm-Liouville-Problem
DOI:
10.1007/978-3-030-32820-7
Author information:
Masjed-Jamei, Mohammad
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