This research monograph is an introduction to single linear
differential equations (systems) with two parameters and extensions
to difference equations and Stieltjes integral equations. The scope
is a study of the values of the parameters for which the equation
has one solution(s) having one (finitely many) zeros. The prototype
is Hill's equation or Mathieu's equation. For the most part no
periodicity assumptions are used and when such are made, more
general notions such as almost periodic functions are introduced,
extending many classical and introducing many new results. Many of
the proofs in the first part are variational thus allowing for
natural extensions to more general settings later. The book should
be accessible to graduate students and researchers alike and the
proofs are, for the most part, self-contained.
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