THE BUFFERING PHENOMENON IN A RESONANCE HYPERBOLIC BOUNDARY-VALUE PROBLEM IN RADIOPHYSICS

By the buffering phenomenon we mean the existence of sufficiently many stable cycles in a sytem of differential equations with distributed c oefficients. In systems of parabolic reaction-diffusion equations this interesting phenomenon was first discovered by numerical methods in [ 1] in:which a problem in ecology was studied. It was then explained th eoretically in [2] and [3]. The buffering phenomenon is of current int erest, for example, in connection with the modelling of memory process es and the creation of memory cells [4]. It is therefore interesting t o find simple radiophysical devices with this property. In the present paper we consider a mathematical model of such a device (an RCLG-osci llator) and, with the aid of a suitable modification of the methods de veloped in [5], we study the problem of existence and stability of its periodic solutions.