O niektorých vlastnostiach riešení diferenciálnej rovnice tvaru
Solutions to singular linear ordinary differential equations with analytic coefficients are found in the form of Laplace type integrals.
An orthogonal system of polynomials, arising from a second-order ordinary differential equation, is presented.
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.