Functional differential equations with infinite delay in Fréchet space. (English) Zbl 0725.34084
The existence and uniqueness of the solutions of functional differential equations with infinite delay are investigated. These equations are considered in an abstract phase space, which satisfies some suitable axioms. The periodicity of the solutions is proved by means of Horn-type fixed point theorem in Fréchet space.
Reviewer: A.Slavova (Russe)
MSC:
34K30 | Functional-differential equations in abstract spaces |
34K99 | Functional-differential equations (including equations with delayed, advanced or state-dependent argument) |