An implicit canonical equation in Hilbert space
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The differential equation ɛx=G(t)x, 0⩽t⩽T, where ɛ and G(t) are bounded linear operators, is examined in the complex Hilbert space conditions are found under which this equation is reducible to the canonical equation by a change of variables.
- 1.Yu. L. Daletskii and M. G. Krein, Stability of Solutions of Differential Equations in Banach Space, Am. Math. Soc., Providence (1974).Google Scholar