Boundary Value Problems for Functional Differential Equations

Functional differential equations have received attention since the 1920s. Within that development, boundary value problems have played a prominent role both in the theory and applications dating back to the 1960s. This text attempts to present some of the more recent developments from a cross-section of views on boundary value problems for functional differential equations. Contributions represent not only a flavour of classical results involving, for example, linear methods and oscillation-nonoscillation techniques, but also modern nonlinear methods for problems involving stability and control as well as cone theoretic, degree theoretic and topological transveratility strategies. A balance with applications is provided through a number of papers dealing with pendulum with dry friction, heat conduction in a thin stretched resistance wire, problems involving singularities, impulsive systems, travelling waves, climate modelling and economic control. With the importance of boundary value problems for functional differential equations in applications, it is not surprising that as new applications arise, modifications are required for even the definitions of the basic equations. This is the case for some of the papers contributed by the Perm seminar participants. Also, some contributions are devoted to delay Fredholm integral equations, while a few papers deal with what might be termed as boundary value problems for delay-differential equations.