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Conditions for the uniform well-posedness of the Cauchy problem for an equation with variable operator in a Hilbert space

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Literature Cited

  1. S. G. Krein, Linear Differential Equations in a Banach Space [in Russian], Nauka, Moscow (1967).

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  2. K. Yoshida, Functional Analysis, Springer-Verlag, New York-Berlin (1968).

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  3. B. P. Demidovich, Lectures on the Mathematical Theory of Stability [in Russian], Nauka, Moscow (1967).

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  4. E. Hille and R. Phillips, Functional Analysis and Semigroups, Am. Math. Soc., Providence (1957).

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  5. N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators in a Hilbert Space [in Russian], Nauka, Moscow (1966).

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Authors
  1. M. I. Gil'
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Additional information

Khabarovsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 2, pp. 50–54, March–April, 1987.

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Gil', M.I. Conditions for the uniform well-posedness of the Cauchy problem for an equation with variable operator in a Hilbert space. Sib Math J 28, 216–220 (1987). https://doi.org/10.1007/BF00970865

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  • DOI: https://doi.org/10.1007/BF00970865

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