Solution of generalized non-singular Sturm–Liouville systems via an approximation method in a Hilbert space
作者:
CHING-TIEN LIOU,
FENG-SHENG WANG,
期刊:
International Journal of Systems Science
(Taylor Available online 1987)
卷期:
Volume 18,
issue 7
页码: 1339-1345
ISSN:0020-7721
年代: 1987
DOI:10.1080/00207728708967113
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The approximation method in a Hilbert space is applied to the analysis of a generalized non-singular Sturm-Liouville eigenvalue problem. The variable coefficients in the system equation and the solution are approximated by a suitable linear independent basis, the expansion coefficients are explicitly expressed as a backward recursive formula and the eigenvalues are obtained by solving an algebraical characteristic equation. The computation is simple and straightforward.
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