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Ordinary Differential Equations in Banach Spaces download

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1977 | pages: 142 | ISBN: 3540082603 | PDF | 3,7 mb

These notes represent an expanded version of material prepared for a one-semester graduate level course on differerential equations held at the University of Kiel in 1975 . The aim has been to show more or less recent connections between differential equations and functional analysis without assuming too many prerequisites from both fields , and with main emphasis on countable systems of ordinary differential equations.
In the main text we present the basic ideas and results. Generalizations and references are given in the Remarks to each chapter. Results without reference to the bibliography are either trivial or new or at least not in the literature available to us. In order to prevent controversy on priority let us mention explicitely that with no reference do we claim to have found the original place of a certain result. A typical example of historical uncertainty is mentioned in Remark (i) to 4 . The Remarks and 8 should also be understood as a guide to further studies.

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