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Found 16 Documents (Results 1–16)

On infinite system of resonance and eigenvalues with exponential asymptotics generated by distant perturbations. (Russian. English translation) Zbl 1474.34597

Ufim. Mat. Zh. 12, No. 4, 3-19 (2020); translation in Ufa Math. J., No. 4, 3-18 (2020).
MSC:  34L05 34L40 34L15
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On a model graph with a loop and small edges. Holomorphy property of resolvent. (English. Russian original) Zbl 1458.34059

J. Math. Sci., New York 251, No. 5, 573-601 (2020); translation from Probl. Mat. Anal. 106, 17-41 (2020).
MSC:  34B45 34L40 47E05
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Simplest graphs with small edges: asymptotics for resolvents and holomorphic dependence of spectrum. (Russian. English summary) Zbl 1463.34127

Ufim. Mat. Zh. 11, No. 2, 56-71 (2019); translation in Ufa Math. J. 11, No. 2, 56-70 (2019).
MSC:  34B45 34L40 34L15
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Perturbation of threshold of the essential spectrum of the Schrödinger operator on the simplest graph with a small edge. (English. Russian original) Zbl 1426.34039

J. Math. Sci., New York 239, No. 3, 248-267 (2019); translation from Probl. Mat. Anal. 97, 15-30 (2019).
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On a \(\mathcal{PT}\)-symmetric waveguide with a pair of small holes. (English. Russian original) Zbl 1321.47166

Proc. Steklov Inst. Math. 281, Suppl. 1, S5-S21 (2013); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 2, 22-37 (2012).
MSC:  47N50 81Q37
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On the spectrum of a periodic operator with a small localized perturbation. (English. Russian original) Zbl 1169.34056

Izv. Math. 72, No. 4, 659-688 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 4, 37-66 (2008).
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