  This monograph is devoted to the theory of entire functions of several
variables. A definition of bounded index was supposed by B. Lepson. We
generalised his definition for several variables and obtained criteria of
L-index boundedness in direction. In particular we obtained obtain analogues of
one-dimensional criterion of boundedness L-index in terms of behaviour the
logarithmic derivative outside of zero sets, sufficient conditions of L-index
boundedness in direction for some subclass of entire functions with "plane"
zeros, sufficient conditions of L-index boundedness of entire solutions for
some partial differential equations. Besides differential equations, entire
functions of bounded index have application in the theory of value
distribution. The monograph is published by "Chyslo":
http://chyslo.com.ua/index.php?route=product/category&path=62
