Sturm-Liouville theory

SearchAdvancedHelp

(0.002 seconds)

1—10 of 12 matching pages

1: Bibliography E

… ►

A catalogue of Sturm-Liouville differential equations. In Sturm-Liouville theory, pp. 271–331.

ⓘ

External Links:

Document, Link, MathReview Entry

Referenced by:

§1.18(ix), §1.18(x).

Encodings:

BibTeX

►

Charles Sturm and the development of Sturm-Liouville theory in the years 1900 to 1950. In Sturm-Liouville theory, pp. 45–74.

ⓘ

External Links:

Document, Link, MathReview Entry

Referenced by:

§1.18(ix), §1.18(x).

Encodings:

BibTeX

…

2: 1.13 Differential Equations

… ►

§1.13(viii) Eigenvalues and Eigenfunctions: Sturm-Liouville and Liouville forms

…

3: Bibliography

… ►

Sturm-Liouville Theory. Birkhäuser Verlag, Basel.

ⓘ

Notes:

Past and present, Including papers from the International Colloquium held at the University of Geneva, Geneva, September 15–19, 2003

External Links:

ISBN 978-3-7643-7066-4; 3-7643-7066-1, Document, Link, MathReview (Anton Zettl)

Referenced by:

§1.13(viii), §1.18(x).

Encodings:

BibTeX

…

4: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions

… ►The materials developed here follow from the extensions of the Sturm–Liouville theory of second order ODEs as developed by Weyl, to include the limit point and limit circle singular cases. …Friedman (1990) provides a useful introduction to both approaches; as does the conference proceeding Amrein et al. (2005), overviewing the combination of Sturm–Liouville theory and Hilbert space theory. …

5: Bibliography S

… ►

Sturm oscillation and comparison theorems. In Sturm-Liouville theory, pp. 29–43.

ⓘ

External Links:

Document, Link, MathReview Entry

Referenced by:

§18.36(vi), §18.39(i).

Encodings:

BibTeX

…

6: Errata

… ►The spectral theory of these operators, based on Sturm-Liouville and Liouville normal forms, distribution theory, is now discussed more completely, including linear algebra, matrices, matrices as linear operators, orthonormal expansions, Stieltjes integrals/measures, generating functions. …

7: 18.38 Mathematical Applications

… ►

Approximation Theory

… ►The basic ideas of Gaussian quadrature, and their extensions to non-classical weight functions, and the computation of the corresponding quadrature abscissas and weights, have led to discrete variable representations, or DVRs, of Sturm–Liouville and other differential operators. … ►

Complex Function Theory

… ►

Random Matrix Theory

… ►

Coding Theory

…

8: Bibliography M

… ►

The Theory of Groups. Clarendon Press, Oxford.

ⓘ

Notes:

Reprinted in 1988 by Krieger Publishing Co., Malabar, FL

External Links:

ISBN 0-19-853137-0;0-89464-287-1, MathReview (A. P. Street), ZentralBlatt

Referenced by:

§23.20(ii).

Encodings:

BibTeX

… ►

Zur Theorie des zylindrisch-parabolischen Spiegels. Z. Physik 118, pp. 343–356 (German).

ⓘ

External Links:

MathReview (A. Erdélyi), ZentralBlatt

Referenced by:

§12.17.

Encodings:

BibTeX

… ►

Loud Speakers: Theory, Performance, Testing and Design. Oxford University Press, New York.

ⓘ

Notes:

Reprinted, with corrections, by Dover Publications Inc., 1960.

External Links:

MathReview, ZentralBlatt

Referenced by:

§11.12.

Encodings:

BibTeX

… ►

Singular integrals whose kernels involve certain Sturm-Liouville functions. I. J. Math. Mech. 19 (10), pp. 855–873.

ⓘ

External Links:

Document, MathReview (F. W. J. Olver), ZentralBlatt

Referenced by:

§9.10(ii).

Encodings:

BibTeX

►

Higher monotonicity properties of certain Sturm-Liouville functions. V. Proc. Roy. Soc. Edinburgh Sect. A 77 (1-2), pp. 23–37.

ⓘ

External Links:

MathReview (G. Sansone), ZentralBlatt

Referenced by:

§10.21(ii), (9.11.4), §9.11(iii).

Encodings:

BibTeX

…

9: Bibliography L

… ►

Essai sur la Théorie des Nombres. 2nd edition, Courcier, Paris.

ⓘ

External Links:

ZentralBlatt

Referenced by:

§27.2(i).

Encodings:

BibTeX

… ►

Zur Theorie der Gaußschen Summen. Math. Ann. 57 (4), pp. 554–567 (German).

ⓘ

External Links:

ISSN 0025-5831, Document, MathReview Entry, ZentralBlatt

Referenced by:

§20.11(i).

Encodings:

BibTeX

… ►

Higher monotonicity properties of certain Sturm-Liouville functions. III. Canad. J. Math. 22, pp. 1238–1265.

ⓘ

External Links:

ISSN 0008-414X, MathReview (G. Sansone), ZentralBlatt

Referenced by:

§10.21(ii).

Encodings:

BibTeX

►

Higher monotonicity properties of certain Sturm-Liouville functions. IV. Canad. J. Math. 24, pp. 349–368.

ⓘ

External Links:

ISSN 0008-414X, MathReview (G. Sansone), ZentralBlatt

Referenced by:

§10.21(ii).

Encodings:

BibTeX

… ►

Higher monotonicity properties of certain Sturm-Liouville functions.. Acta Math. 109, pp. 55–73.

ⓘ

External Links:

ISSN 0001-5962, Document, MathReview (G. Sansone), ZentralBlatt

Referenced by:

§10.21(ii).

Encodings:

BibTeX

…

10: Bibliography B

… ►

Random and Restricted Walks: Theory and Applications. Gordon and Breach, New York.

ⓘ

External Links:

ZentralBlatt

Referenced by:

§16.24(i).

Encodings:

BibTeX

… ►

Uniform approximation: A new concept in wave theory. Science Progress (Oxford) 57, pp. 43–64.

ⓘ

Referenced by:

§36.14(i), §9.16.

Encodings:

BibTeX

… ►

Efficiency and Security of Cryptosystems Based on Number Theory. Ph.D. Thesis, Swiss Federal Institute of Technology (ETH), Zurich.

ⓘ

External Links:

FullText

Referenced by:

2nd item.

Encodings:

BibTeX

… ►

Über Sturm-Liouvillesche Polynomsysteme. Math. Z. 29 (1), pp. 730–736.

ⓘ

External Links:

ISSN 0025-5874, Link, MathReview Entry, ZentralBlatt

Referenced by:

item 1..

Encodings:

BibTeX

… ►

A Sturm-Liouville eigenproblem of the fourth kind: A critical latitude with equatorial trapping. Stud. Appl. Math. 101 (4), pp. 433–455.

ⓘ

External Links:

ISSN 0022-2526, Document, MathReview, ZentralBlatt

Referenced by:

§31.17(ii).

Encodings:

BibTeX

…