Consider the homogeneous equation u ′(t) = l(u)(t) for a.e. t ∈ [a, b] where l : C([a, b];R) → L([a, b];R) is a linear bounded operator. The efficient conditions guaranteeing that the solution set to the equation considered is one-dimensional, generated by a positive monotone function, are established. The results obtained are applied to get new efficient… (More)

@inproceedings{Domoshnitsky2016OnTD,
title={On the Dimension of the Solution Set to the Homogeneous Linear Functional Differential Equation of the First Order},
author={Alexander Domoshnitsky and Robert Hakl},
year={2016}
}