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Applicable Analysis
An International Journal
Volume 2, 1972 - Issue 2
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Original Articles

On the Spectrum of a Second Order Linear Differentia! Equation with a p-integrable Coefficient!

W.N Everitt Department of Mathematics, The University, Dundee, Scotland
Pages 143-160 | Published online: 02 May 2007

Citations (22)

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F.V. Atkinson. (1976) ASYMPTOTIC INTEGRATION AND THE L2-CLASSIFICATION OF SQUARES OF SECOND-ORDER DIFFERENTIAL OPERATORS. Quaestiones Mathematicae 1:2, pages 155-180.
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Articles from other publishers (21)

Richard C. Brown & Don B. Hinton. 2009. Inequalities and Applications. Inequalities and Applications 61 76 .
Юрий Владимирович Егоров, Yurii Vladimirovich Egorov, Владимир Александрович Кондратьев & Vladimir Aleksandrovich Kondrat'ev. (1996) Об оценках первого собственного значения в некоторых задачах Штурма - ЛиувилляEstimates for the first eigenvalue in some Sturm - Liouville problems. Успехи математических наук Uspekhi Matematicheskikh Nauk 51:3, pages 73-144.
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Sun Jiong. (1994) On the spectrum of a class of differential operators and embedding theorems. Acta Mathematica Sinica 10:4, pages 415-427.
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Mark Ashbaugh, Richard Brown & Don Hinton. 1992. General Inequalities 6. General Inequalities 6 243 255 .
M. W. Wong. (2008) The spectrum of a one-dimensional pseudo-differential operator. Mathematical Proceedings of the Cambridge Philosophical Society 104:3, pages 575-580.
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Mark S. Ashbaugh & Evans M. HarrellIIII. (1987) Maximal and minimal eigenvalues and their associated nonlinear equations. Journal of Mathematical Physics 28:8, pages 1770-1786.
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B. J. Harris. (2011) Lower bounds for the spectrum of a second order linear differential equation with a coefficient whose negative part is p -integrable . Proceedings of the Royal Society of Edinburgh: Section A Mathematics 97, pages 105-107.
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W.D Evans, M.K Kwong & A Zettl. (1983) Lower bounds for the spectrum of ordinary differential operators. Journal of Differential Equations 48:1, pages 123-155.
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Gerald Rosen. (1982) Necessary Conditions on Potential Functions for Nonrelativistic Bound States. Physical Review Letters 49:26, pages 1885-1887.
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E. J. M. Veling. (2011) Optimal lower bounds for the spectrum of a second order linear differential equation with a p -integrable coefficient . Proceedings of the Royal Society of Edinburgh: Section A Mathematics 92:1-2, pages 95-101.
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W. D. Evans. (1981) On the spectra of Schr�dinger operators with a complex potential. Mathematische Annalen 255:1, pages 57-76.
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F. V. Atkinson. 1980. Ordinary and Partial Differential Equations. Ordinary and Partial Differential Equations 1 24 .
F. V. Atkinson & W. N. Everitt. (2011) Bounds for the point spectrum for a Sturm-Liouville equation. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 80:1-2, pages 57-66.
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W. N. Everitt. (2011) An integral inequality with an application to ordinary differential operators. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 80:1-2, pages 35-44.
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M. S. P. Eastham & J. B. McLeod. (2012) The existence of eigenvalues embedded in the continuous spectrum of ordinary differential operators. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 79:1-2, pages 25-34.
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M. S. P. Eastham. 1976. Ordinary and Partial Differential Equations. Ordinary and Partial Differential Equations 72 77 .
W.N. Everitt. 1975. International Conference on Differential Equations. International Conference on Differential Equations 287 307 .
E. Müller-Pfeiffer. (1975) Ergänzung zur Arbeit „Gewöhnliche Differentialoperatoren mit rein stetigem Spektrum”. Mathematische Nachrichten 67:15-17, pages 255-263.
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V. Krishna Kumar. (2012) 26.—The Strong Limit-2 Case of Fourth-order Differential Equations. Proceedings of the Royal Society of Edinburgh. Section A. Mathematical and Physical Sciences 71:4, pages 297-304.
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M. S. P. Eastham. (2012) 2.—Semi-bounded Second-order Differential Operators. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 72:1, pages 9-16.
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J. S. Bradley & W. N. Everitt. (1973) Inequalities associated with regular and singular problems in the calculus of variations. Transactions of the American Mathematical Society 182:0, pages 303-321.
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