期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 401, 期 2, 页码 811-820出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2012.12.050
关键词
Operator theory; Orthogonal polynomials; Differential equations; Recurrence relations
资金
- Direccion General de Investigacion, Ministerio de Ciencia e Innovacion [MTM2009-14668-C02-02]
- Acciones Integradas, Ministerio de Ciencia e Innovacion [PT2009-0031]
- Accao Integrada Luso-Espanhola [E-4/10]
- Center for Mathematics of the University of Coimbra
- Center for Research and Development in Mathematics and Applications (University of Aveiro)
- Fundacao para a Ciencia e a Tecnologia, through European program COMPETE/FEDER
The relation between the solutions of the full Kostant-Toda lattice and the discrete Korteweg-de Vries equation is analyzed. A method for constructing solutions of these systems is given. As a consequence of the matricial interpretation of this method, the transform of Darboux is extended for general Hessenberg banded matrices. (c) 2012 Elsevier Inc. All rights reserved.
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