30 citations · 128 across the 34 of their papers we have counts for
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Petrovskii elliptic systems in the extended Sobolev scale
Tetiana Zinchenko, Aleksandr Murach
Petrovskii elliptic systems of linear differential equations given on a closed smooth manifold are investigated on the extended Sobolev scale. This scale consists of all Hilbert sp…
Localization principles for Schrödinger operator with a singular matrix potential
Vladimir Mikhailets, Aleksandr Murach, Viktor Novikov
We study the spectrum of the one-dimensional Schrödinger operator with a matrix singular distributional potential where $Q\in L^{2}_{\mathrm{loc}}(\mathbb{R},\mathbb{C…
Elliptic problems with boundary conditions of high orders in Hörmander spaces
Tetiana Kasirenko, Aleksandr Murach
In a class of inner product Hörmander spaces, we investigate a general elliptic problem for which the maximum of orders of boundary conditions is grater than or equal to the order…
Parameter-dependent one-dimensional boundary-value problems in Sobolev spaces
Yevheniia Hnyp, Vladimir Mikhailets, Aleksandr Murach
We consider the most general class of linear boundary-value problems for higher-order ordinary differential systems whose solutions and right-hand sides belong to the corresponding…