Abstract
We investigate the well-posedness of a problem for a system of functional differential equations of different types without initial conditions. Each equation consists of two parts one of which has the same structure as a parabolic equation or an ordinary differential equation with parameters, while the other contains functionals defined on a space of functions continuous in space variables.
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Bokalo, M.M., Dmytriv, V.M. Fourier Problem for a Coupled Diffusion System with Functionals. Ukrainian Mathematical Journal 53, 1784–1800 (2001). https://doi.org/10.1023/A:1015242627673
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DOI: https://doi.org/10.1023/A:1015242627673