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M. Al-Gwaiz (2007)
Sturm-Liouville Theory and its Applications
H. Davis (1965)
Fourier series and orthogonal functionsAmerican Mathematical Monthly, 72
E. Weisstein (2014)
Fundamental Theorem of Linear Algebra
G. Arfken (1967)
Mathematical Methods for Physicists
E. Kreyszig (1978)
Introductory Functional Analysis With Applications
N. Lebedev, R. Silverman, D. Livhtenberg (1966)
Special functions and their applications
M. Abramowitz, I. Stegun, David Miller (1965)
Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55)Journal of Applied Mechanics, 32
E. Ince
Ordinary differential equations
A. Zettl (2005)
Sturm-Liouville theory
Hyunjoong Kim (2017)
Functional Analysis I
[In Chap. 3 we have seen how the separability of PDEs leads to ordinary differential equations problems, usually of second order. The problem is complemented with B.C.s and the reduction of the initial PDE to second order ODEs often yield a so-called Sturm–Liouville (SL) problem (named after the French mathematicians Jacques Charles François Sturm, 1803–1855, and Joseph Liouville, 1809–1882).]
Published: Jul 1, 2020
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