The book is mainly about hybrid systems with
continuous/discrete-time dynamics. The major part of the book
consists of the theory of equations with piece-wise constant
argument of generalized type. The systems as well as technique of
investigation were introduced by the author very recently. They
both generalized known theory about differential equations with
piece-wise constant argument, introduced by K. Cook and J. Wiener
in the 1980s. Moreover, differential equations with fixed and
variable moments of impulses are used to model real world problems.
We consider models of neural networks, blood pressure distribution
and a generalized model of the cardiac pacemaker. All the results
of the manuscript have not been published in any book, yet. They
are very recent and united with the presence of the
continuous/discrete dynamics of time. It is of big interest for
specialists in biology, medicine, engineering sciences,
electronics. Theoretical aspects of the book meet very strong
expectations of mathematicians who investigate differential
equations with discontinuities of any type.
General
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