Boundary value problems for functional differential equations.

*(English)*Zbl 0834.00035
Singapore: World Scientific. ix, 306 p. (1995).

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From the preface: The purpose of this volume is to present some of the areas of current research in such a way as to be accessible to a wide audience. In addition, it is hoped that many of these articles can serve as guides to seminars or additional topics for courses in functional differential equations.

Functional differential equations have received attention since the 1920’s. Within the development, boundary value problems have played a prominent role in both the theory and applications dating back to the 1960’s. Contributions herein represent not only a flavor 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 transversality strategies. A balance with applications is provided through a number of papers dealing with a pendulum with dry friction, heat conduction in a thin stretched resistive wire, problems involving singularities, impulsive systems, traveling waves, climate modeling, 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 was the case for several researchers who for years conducted a seminar in functional differential equations at Perm State Technical University. Participants from that seminar have contributed to this volume. 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-difference equations.

##### MSC:

00B25 | Proceedings of conferences of miscellaneous specific interest |

34-06 | Proceedings, conferences, collections, etc. pertaining to ordinary differential equations |

34K10 | Boundary value problems for functional-differential equations |