Frontiers in Mathematics

Masjed-Jamei, Mohammad

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.

Details

Published by: Birkhäuser

Publication Date: 2020-01-26

Format: Paperback

ISBN-13: 9783030328191

DOI: 10.1007/978-3-030-32820-7

Dimensions: 240cm x168cm

Pages: 313