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Introduction

  • Alexander Ya. Shklyar
Chapter
Part of the Operator Theory Advances and Applications book series (OT, volume 92)

Abstract

Complete second order linear differential equations in Banach spaces
$$y''(t) + Ay'(t) + By(t) = 0$$
(1)
have been extensively studied during the last thirty-five years. Nevertheless, as H.O. Fattorini remarked in the monograph “Second order linear differential equations in Banach spaces” (1985): “The theory of (1) is considerably more complicated than that of its incomplete counterpart \(y''(t) + By(t) = 0\) and can hardly be said to be in definitive form” [93. p. 270].

Copyright information

© Birkhäuser Verlag 1997

Authors and Affiliations

  • Alexander Ya. Shklyar
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKievUkraine

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