Sturm-Liouville Problems

Theory and Numerical Implementation

Ronald B. Guenther, John W Lee (Autoren)

Buch | Hardcover

420 Seiten

2018
CRC Press (Verlag)
978-1-138-34543-0 (ISBN)

Artikel merken

This book addresses in a unifed way the key issues that must be faced in science and engineering applications when separation of variables, variational methods, or other considerations lead to Sturm-Liouville eigenvalue problems and boundary value problems.

Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences. These problems lead to eigenvalue problems for ordinary and partial differential equations. Sturm-Liouville Problems: Theory and Numerical Implementation addresses, in a unified way, the key issues that must be faced in science and engineering applications when separation of variables, variational methods, or other considerations lead to Sturm-Liouville eigenvalue problems and boundary value problems.

Ronald B. Guenther is an Emeritus Professor in the Department of Mathematics at Oregon State University. His research interests include fluid mechanics and mathematically modelling deterministic systems and the ordinary and partial differential equations that arise from these models. John W. Lee is an Emeritus Professor in the Department of Mathematics at Oregon State University. His research interests include differential equations, especially oscillatory properties of problems of Sturm-Liouville type and related approximation theory, and integral equations.

Preface. 1 Setting the Stage. 2 Preliminaries. 3 Integral Equations. 4 Regular Sturm-Liouville Problems. 5 Singular Sturm-Liouville Problems - I. 6 Singular Sturm-Liouville Problems – II. 7 Approximation of Eigenvalues and Eigenfunctions. 8 Concluding Examples and Observations. A Mildly Singular Compound Kernels. B Iteration of Mildly Singular Kernels. C The Kellogg Conditions

Erscheinungsdatum	01.11.2018
Reihe/Serie	Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Zusatzinfo	1 Tables, black and white; 32 Illustrations, black and white
Verlagsort	London
Sprache	englisch
Maße	178 x 254 mm
Gewicht	893 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-138-34543-1 / 1138345431
ISBN-13	978-1-138-34543-0 / 9781138345430
Zustand	Neuware