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On 1-regular ordinary differential operators

Grzegorz Łysik (2000)

Annales Polonici Mathematici

Solutions to singular linear ordinary differential equations with analytic coefficients are found in the form of Laplace type integrals.

On a new set of orthogonal polynomials

Franz Hinterleitner (2003)

Archivum Mathematicum

An orthogonal system of polynomials, arising from a second-order ordinary differential equation, is presented.

On almost periodicity defined via non-absolutely convergent integrals

Dariusz Bugajewski, Adam Nawrocki (2025)

Czechoslovak Mathematical Journal

We investigate some properties of the normed space of almost periodic functions which are defined via the Denjoy-Perron (or equivalently, Henstock-Kurzweil) integral. In particular, we prove that this space is barrelled while it is not complete. We also prove that a linear differential equation with the non-homogenous term being an almost periodic function of such type, possesses a solution in the class under consideration.

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