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Abstract

In order to get an idea of the solutions studied in this chapter consider the equation

$$ (D_t^2 + A)U(t) = 0, $$
((1.1))

where A is a non-negative selfadjoint operator in a Hilbert space H with the domain DomA = H (for basic notions and facts of operator theory in a Hilbert space see, for example, Rudin (1973), Reed, Simon (1972) or Gohberg, Goldberg and Kaashoek (1990)).

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© 1999 Springer-Verlag Berlin Heidelberg

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Kozlov, V., Maz’ya, V. (1999). Power-Exponential Zeros. In: Differential Equations with Operator Coefficients. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11555-8_1

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  • DOI: https://doi.org/10.1007/978-3-662-11555-8_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08453-9

  • Online ISBN: 978-3-662-11555-8

  • eBook Packages: Springer Book Archive

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