Open AccessCommutative ordinary differential operators
Author(s) -
J. L. Burchnall,
T. W. Chaundy
Publication year - 1928
Publication title -
proceedings of the royal society of london. series a, containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1928.0069
Subject(s) - paragraph , argument (complex analysis) , section (typography) , mathematical proof , mathematics , variable (mathematics) , commutative property , ordinary differential equation , calculus (dental) , preamble , algebra over a field , pure mathematics , computer science , differential equation , mathematical analysis , channel (broadcasting) , geometry , medicine , dentistry , world wide web , operating system , computer network
The paper is conveniently divided into two sections. The first contains the general argument and the main propositions unencumbered by proof: in the first paragraph of this section is collected material already published; the succeeding paragraphs of the section are devoted to new results. The second section of the paper includes proofs of these results, together with certain corollaries not essential to the main argument. Part 1. I.—Preamble. We make certain notational conventions. There is a single independent variablex ; the arbitrary dependent variable of a differential equation or operation is writteny . With these exceptions Greek letters denote functions ofx and English “lower-case” letters denote constants.