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As far as the number of new results and quoted papers is concerned
the present book may be considered a monograph. However, it also
has some features of a textbook. Firstly, it proceeds from concrete
problems to abstract ones, and secondly, all considerations and
procedures are presented in much detail when met for the first time
(such very elementary expositions can be found especially at the
beginning of Chapters III and V). Finally, the authors focus their
attention on elementary problems which can be dealt with by
relatively simple methods. The authors hope that all this will make
it possible also for an applied or technical research worker with
some mathematical training to read this book. Naturally, the reader
is supposed to be familiar with some basic notions from
mathematical analysis, functional analysis and theory of partial
differential equations. Also, the arguments and procedures which
are repeated in the book are presented more briefly when met again,
the reader being expected to become gradually more thoroughly
acquainted with them. The authors have tried to provide a complete
bibliography of all relevant publications (their number reaches
about 500) from the theory of time-periodic solutions to non-linear
partial and abstract differential equations whose origin may be put
in the early thirties of this century.
As far as the number of new results and quoted papers is concerned
the present book may be considered a monograph. However, it also
has some features of a textbook. Firstly, it proceeds from concrete
problems to abstract ones, and secondly, all considerations and
procedures are presented in much detail when met for the first time
(such very elementary expositions can be found especially at the
beginning of Chapters III and V). Finally, the authors focus their
attention on elementary problems which can be dealt with by
relatively simple methods. The authors hope that all this will make
it possible also for an applied or technical research worker with
some mathematical training to read this book. Naturally, the reader
is supposed to be familiar with some basic notions from
mathematical analysis, functional analysis and theory of partial
differential equations. Also, the arguments and procedures which
are repeated in the book are presented more briefly when met again,
the reader being expected to become gradually more thoroughly
acquainted with them. The authors have tried to provide a complete
bibliography of all relevant publications (their number reaches
about 500) from the theory of time-periodic solutions to non-linear
partial and abstract differential equations whose origin may be put
in the early thirties of this century.
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