On the Dimension of the Solution Set to the Homogeneous Linear Functional Differential Equation of the First Order

Abstract

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)

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Cite this paper

@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} }