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Applications to the Case of Perturbations Vanishing at Infinity

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Differential Equations with Operator Coefficients

Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

In this chapter we apply general theorems of the previous chapter to two special cases. We suppose first that ρ(t) = o(1) at infinity and then assume additionally that the Jordan chains corresponding to the spectrum of A(λ) in the strip k (1) < ℑλ < k (2)+ do not contain generalized eigenvectors.

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© 1999 Springer-Verlag Berlin Heidelberg

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Kozlov, V., Maz’ya, V. (1999). Applications to the Case of Perturbations Vanishing at Infinity. In: Differential Equations with Operator Coefficients. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11555-8_9

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  • DOI: https://doi.org/10.1007/978-3-662-11555-8_9

  • 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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