Abstract:
This paper is a continuation of the studies of [1] and [2]
on existence of periodic bounded solutions
for point-type functional differential equations,
where deviations of the argument are defined in terms of a cyclic group of shifts on the real line.
We prove an existence theorem for a bounded solution for equations
in which the deviations of the argument are given by elements of a finitely generated
group of orientation preserving diffeomorphisms of the real line.
Keywords:functional differential equation, soliton solution, periodic and bounded solution.
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