Vladislav V. Kravchenko

activity

20002019

most citedOn a factorization of second order elliptic operators and applications

28 citations · 102 across the 11 of their papers we have counts for

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2 papers · 1 filter

math.CA2017

Spectral parameter power series for arbitrary order linear differential equations

Vladislav V. Kravchenko, R. Michael Porter, Sergii M. Torba

Let $L$ be the $n$ -th order linear differential operator $L y = ϕ_{0} y^{(n)} + ϕ_{1} y^{(n - 1)} + \dots + ϕ_{n} y$ with variable coefficients. A representation is given for $n$ linearly ind…

math.CA2012★ 4 cited

Spectral problems in inhomogeneous media, spectral parameter power series and transmutation operators

Vladislav V. Kravchenko, Sergii M. Torba

We give a brief overview of recent developments in Sturm-Liouville theory concerning operators of transmutation (transformation) and spectral parameter power series (SPPS) and prop…