The book deals with parameter dependent problems of the form u+*f(u)=0 on an interval with
homogeneous Dirichlet or Neuman boundary conditions. These problems have a family of solution
curves in the (u *)-space. By examining the so-called time maps of the problem the shape of
these curves is obtained which in turn leads to information about the number of solutions the
dimension of their unstable manifolds (regarded as stationary solutions of the corresponding
parabolic prob- lem) as well as possible orbit connections between them. The methods used also
yield results for the period map of certain Hamiltonian systems in the plane. The book will be
of interest to researchers working in ordinary differential equations partial differential
equations and various fields of applications. By virtue of the elementary nature of the
analytical tools used it can also be used as a text for undergraduate and graduate students
with a good background in the theory of ordinary differential equations.
