Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 8, 1978 - Issue 2
Submit an article Journal homepage
18
Views
22
CrossRef citations to date
0
Altmetric
Original Articles

On the asymptotic form of the Titchmarsh-Weyl m-coefficientFootnote†

W. N. Everitt The University, Department of Mathematics, Dundee, ScotlandView further author information
&
S. G. Halvorsen University of Trondheim, Department of Mathematics, NTH Trondheim, NorwayView further author information
Pages 153-169 | Received 16 Sep 1977, Published online: 10 May 2007

Citations (22)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

J.S. Pinto & A.D. Wood. (1981) ON THE ASYMPTOTIC BEHAVIOUR OF THE TITCHMARSH- WEYL COEFFICIENTS FOR A FOURTH ORDER EQUATION. Quaestiones Mathematicae 4:4, pages 337-345.
Read now

Articles from other publishers (21)

Gift Muchatibaya & Josiah Mushanyu. (2018) A Note on the Asymptotic and Threshold Behaviour of Discrete Eigenvalues inside the Spectral Gaps of the Difference Operator with a Periodic Potential. Advances in Mathematical Physics 2018, pages 1-5.
Crossref
Annemarie Luger, Gerald Teschl & Tobias Wöhrer. (2015) Asymptotics of the Weyl function for Schrödinger operators with measure-valued potentials. Monatshefte für Mathematik 179:4, pages 603-613.
Crossref
G. Muchatibaya, S. Fassari, F. Rinaldi & J. Mushanyu. (2016) A Note on the Discrete Spectrum of Gaussian Wells (I): The Ground State Energy in One Dimension. Advances in Mathematical Physics 2016, pages 1-4.
Crossref
Bilender P. Allahverdiev. (2012) NONSELFADJOINT SINGULAR STURM-LIOUVILLE OPERATORS IN LIMIT-CIRCLE CASE. Taiwanese Journal of Mathematics 16:6.
Crossref
Amin Boumenir. 2010. Topics in Operator Theory. Topics in Operator Theory 115 136 .
B. P. Allahverdiev. (2005) Dissipative Sturm?Liouville Operators in Limit-Point Case. Acta Applicandae Mathematicae 86:3, pages 237-248.
Crossref
Steve Clark & Fritz Gesztesy. (2004) On Weyl–Titchmarsh theory for singular finite difference Hamiltonian systems. Journal of Computational and Applied Mathematics 171:1-2, pages 151-184.
Crossref
F. V. Atkinson & C. T. Fulton. (2011) Asymptotics of the Titchmarsh—Weyl m -coefficient for non-integrable potentials . Proceedings of the Royal Society of Edinburgh: Section A Mathematics 129:4, pages 663-683.
Crossref
Hans G. Kaper & Man Kam Kwong. 1987. Differential Equations and Mathematical Physics. Differential Equations and Mathematical Physics 222 229 .
B.J Harris. (1986) The asymptotic form of the Titchmarsh-Weyl m-function for second-order linear differential equations with analytic coefficients. Journal of Differential Equations 65:2, pages 219-234.
Crossref
Hans G. Kaper & Man Kam Kwong. (2011) Asymptotics of the Titchmarsh-Weyl m -coefficient for integrable potentials . Proceedings of the Royal Society of Edinburgh: Section A Mathematics 103:3-4, pages 347-358.
Crossref
B. J. Harris. (2011) The asymptotic form of the spectral functions associated with a class of Sturm–Liouville equations. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 100:3-4, pages 343-360.
Crossref
D. B. Hinton & J. K. Shaw. (2011) The asymptotic form of the Titchmarsh–Weyl coefficient for a fourth order differential equation. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 97, pages 109-123.
Crossref
F. V. Atkinson. (2011) On bounds for Titchmarsh–Weyl m -coefficients and for spectral functions for second-order differential operators . Proceedings of the Royal Society of Edinburgh: Section A Mathematics 97, pages 1-7.
Crossref
S.G. Halvorsen. 1984. Differential Equations, Proceedings of the Conference held at The University of Alabama in Birmingham. Differential Equations, Proceedings of the Conference held at The University of Alabama in Birmingham 271 277 .
B. J. Harris. (2011) On the Titchmarsh–Weyl m -function . Proceedings of the Royal Society of Edinburgh: Section A Mathematics 95:3-4, pages 223-237.
Crossref
. (1997) A return to the Hardy-Littlewood integral inequality. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 380:1779, pages 447-486.
Crossref
F. V. Atkinson. 1982. Ordinary and Partial Differential Equations. Ordinary and Partial Differential Equations 1 27 .
F. V. Atkinson. (2011) On the location of the Weyl circles. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 88:3-4, pages 345-356.
Crossref
S.D. Wray. 1981. Spectral Theory of Differential Operators, Proceedings of the Conference held at the University of Alabama in Birmingham. Spectral Theory of Differential Operators, Proceedings of the Conference held at the University of Alabama in Birmingham 379 384 .
Charles T. Fulton. 1981. Spectral Theory of Differential Operators, Proceedings of the Conference held at the University of Alabama in Birmingham. Spectral Theory of Differential Operators, Proceedings of the Conference held at the University of Alabama in Birmingham 189 192 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.