21 citations · 61 across the 6 of their papers we have counts for
7 papers
Povzner-Wienholtz-type theorems for Sturm-Liouville operators with singular coefficients
Andrii Goriunov, Vladimir Mikhailets, Volodymyr Molyboga
We introduce and investigate symmetric operators associated in the complex Hilbert space with a formal differential expression \[l[u] :=-(pu')'+qu + i((ru)'…
Multi-interval dissipative Sturm-Liouville boundary-value problems with distributional coefficients
Andrii Goriunov
The paper investigates spectral properties of multi-interval Sturm-Liouville operators with distributional coefficients. Constructive descriptions of all self-adjoint and maximal d…
Multi-interval Sturm-Liouville boundary-value problems with distributional potentials
Andrii Goriunov
We study the multi-interval boundary-value Sturm-Liouville problems with distributional potentials. For the corresponding symmetric operators boundary triplets are found and the co…
Formally self-adjoint quasi-differential operators and boundary value problems
Andrii Goriunov, Vladimir Mikhailets, Konstantin Pankrashkin
We develop the machinery of boundary triplets for one-dimensional operators generated by formally self-adjoint quasi-differential expression of arbitrary order on a finite interval…
Regularization of binomial differential equations with singular coefficients
Andrii Goriunov, Vladimir Mikhailets
We propose a regularization of the formal differential expression of order applying quasi-derivatives. The di…
Regularization of singular Sturm-Liouville equations
Andrii Goriunov, Vladimir Mikhailets
Paper deals with the singular Sturm-Liouville expressions on a finite interval with coefficients where derivative…