Sturm-Liouville Operators and Applications - Operator Theory: Advances and Applications - V a Marchenko - Böcker - Springer Basel - 9783034854863 - 23 augusti 2014
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Sturm-Liouville Operators and Applications - Operator Theory: Advances and Applications Softcover Reprint of the Original 1st 1986 edition

V a Marchenko

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Sturm-Liouville Operators and Applications - Operator Theory: Advances and Applications Softcover Reprint of the Original 1st 1986 edition

The development of many important directions of mathematics and physics owes a major debt to the concepts and methods which evolved during the investigation of such simple objects as the Sturm-Liouville equation 2 2 y" + q(x)y = zy and the allied Sturm-Liouville operator L = - d /dx + q(x) (lately Land q(x) are often termed the one-dimensional Schrödinger operator and the potential). These provided a constant source of new ideas and problems in the spectral theory of operators and kindred areas of analysis. This sourse goes back to the first studies of D. Bernoulli and L. Euler on the solution of the equation describing the vibrations of astring, and still remains productive after more than two hundred years. This is confirmed by the recent discovery, made by C. Gardner, J. Green, M. Kruskal, and R. Miura [6J, of an unexpected connection between the spectral theory of Sturm-Liouville operators and certain nonlinear partial differential evolution equations. The methods used (and often invented) during the study of the Sturm-Liouville equation have been constantly enriched. In the 40's a new investigation tool joined the arsenal - that of transformation operators.


367 pages, black & white illustrations

Media Böcker     Pocketbok   (Bok med mjukt omslag och limmad rygg)
Releasedatum 23 augusti 2014
ISBN13 9783034854863
Utgivare Springer Basel
Antal sidor 367
Mått 170 × 244 × 20 mm   ·   603 g
Språk Tyska