A construction of the jet of the resolvent |
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| Authors: | F Guil |
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| Institution: | (1) Departamento de Métodos Matemáticos de la Física, Facultad de Ciencias Físicas, Universidad Complutense, Madrid-3, Spain |
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| Abstract: | We consider an equation for the diagonal of the resolvent of matrix differential operators which appears associated to a general Riccati equation. We show that the power series solutions of these equations determines the jet of the resolvent used by Gel'fand and Dikii in the theory of Lax equations. The variational derivatives of such solutions are also calculated. |
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