Matrix Solution of Equations of the Mathieu-Hill Type
- 1 July 1953
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 24 (7), 902-910
- https://doi.org/10.1063/1.1721400
Abstract
This paper presents a method for the solution of a class of linear, second‐order differential equations with periodic coefficients of the Mathieu‐Hill type. The method is based on a procedure involving powers of matrices and is adequate for the study of a large class of physical problems. The stability of the solution is considered and the general method is illustrated by its application to typical special cases.Keywords
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