V. Molyboga

activity

20072021

most citedSingularly perturbed periodic and semiperiodic differential operators

12 citations · 12 across the 2 of their papers we have counts for

collaborators

3 papers

math.SP2021

Povzner-Wienholtz-type theorems for Sturm-Liouville operators with singular coefficients

Andrii Goriunov, Vladimir Mikhailets, Volodymyr Molyboga

We introduce and investigate symmetric operators $L_{0}$ associated in the complex Hilbert space $L^{2} (R)$ with a formal differential expression \[l[u] :=-(pu')'+qu + i((ru)'…

math.SP2018

Schrödinger operators with measure-valued potentials: semiboundedness and spectrum

Vladimir Mikhailets, Volodymyr Molyboga

We study the 1-D Schrödinger operators in Hilbert space $L^{2} (R)$ with real-valued Radon measure $q^{'} (x)$ , $q \in BV_{l oc} (R)$ as potentials. New sufficie…

math.FA2007★ 12 cited

Singularly perturbed periodic and semiperiodic differential operators

V. A. Mikhailets, V. M. Molyboga

Qualitative and spectral properties of the form-sums S_{\pm}(V):=D_{\pm}^{2m}\dotplus V(x),\quad m\in \mathbb{N}, in the Hilbert space $L_{2} (0, 1)$ are studied. Here the periodic $…