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This book offers a self-contained introduction to the theory of
guiding functions methods, which can be used to study the existence
of periodic solutions and their bifurcations in ordinary
differential equations, differential inclusions and in control
theory. It starts with the basic concepts of nonlinear and
multivalued analysis, describes the classical aspects of the method
of guiding functions, and then presents recent findings only
available in the research literature. It describes essential
applications in control theory, the theory of bifurcations, and
physics, making it a valuable resource not only for "pure"
mathematicians, but also for students and researchers working in
applied mathematics, the engineering sciences and physics.
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