V. Molyboga

activity

20072026

most citedSingular eigenvalue problems on the circle

14 citations · 59 across the 12 of their papers we have counts for

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4 papers · 1 filter

math.FA2014★ 8 cited

Uniform estimates for the semi-periodic eigenvalues of the singular differential operators

Vladimir Mikhailets, Volodymyr Molyboga

Let $m \in N$ , $α \in [0, 1]$ , and $V$ be a 1-periodic complex-valued distribution in the negative Sobolev space $H^{- m α} [0, 1]$ . The singular non-self-adjoint eigenvalue probl…

math.FA2014★ 14 cited

Singular eigenvalue problems on the circle

Vladimir Mikhailets, Volodymyr Molyboga

The eigenvalue problem on the circle for the non-self-adjoint operators $L_{m} (V) = (- 1)^{m} \frac{d ^{2 m}}{d x ^{2 m}} + V$ , $m \in N$ with singular complex-valued 2-periodic distr…

math.FA2014★ 3 cited

Estimates for Periodic Eigenvalues of the Differential Operator $(- 1)^{m} d^{2m} /d x^{2m} + V$ with V -- Distribution

Volodymyr Molyboga

The periodic eigenvalue problem for the differential operator $(- 1)^{m} d^{2 m} / d x^{2 m} + V$ is studied for complex-valued distribution V in the Sobolev space $H^{-mα}_{per}[-1,1]\;(m\…

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 $…

Uniform estimates for the semi-periodic eigenvalues of the singular differential operators

Singular eigenvalue problems on the circle

Estimates for Periodic Eigenvalues of the Differential Operator (−1)md2m/dx2m+V with V -- Distribution

Singularly perturbed periodic and semiperiodic differential operators

Estimates for Periodic Eigenvalues of the Differential Operator $(- 1)^{m} d^{2m} /d x^{2m} + V$ with V -- Distribution