Variational methods and their generalizations have been verified to
be useful tools in proving the existence of solutions to a variety
of boundary value problems for ordinary, impulsive, and partial
differential equations as well as for difference equations. In this
monograph, we look at how variational methods can be used in all
these settings. In our first chapter, we gather the basic notions
and fundamental theorems that will be applied in the remainder of
this monograph. While many of these items are easily available in
the literature, we gather them here both for the convenience of the
reader and for the purpose of making this volume somewhat
self-contained. Subsequent chapters deal with the Sturm-Liouville
problems, multi-point boundary value problems, problems with
impulses, partial differential equations, and difference equations.
An extensive bibliography is also included.
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