Transcription of A Catalogue of Sturm-Liouville di erential equations
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A Catalogue of Sturm-Liouville di erential equations
A Catalogue of sturm -Liouvilledifferential EverittDedicated to all scientists who, down the long years,have contributed to Sturm-Liouville idea for this Catalogue follows from the conference entitled:Bicentenaire de Charles Fran cois Sturmheld at the University of Geneva, Switzerland from 15 to 19 September of the main interests for this meeting involved the historical developmentof the theory of Sturm-Liouville differential equations . This theory began withthe original work of sturm from 1829 to 1836 and was then followed by theshort but significant joint paper of sturm and liouville in 1837, on second-order linear ordinary differential equations with an eigenvalue details of the early development of Sturm-Liouville theory, fromthe beginnings about 1830, are given in a historical survey paper of JesperL utzen (1984), in which paper a complete set of references may be found tothe relevant work of both sturm and Catalogue commences with sections devoted to a brief summaryof Sturm-Liouville theory including some details of differential expressionsand equations , Hilbert function spaces, differential operators, clas
A Catalogue of Sturm-Liouville di erential equations W.N. Everitt Dedicated to all scientists who, down the long years, have contributed to Sturm-Liouville theory.
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