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Found 16,298 Documents (Results 1–100)

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Grishin, Denis V.; Pavlovskiy, Yan Yu.
Representation of solutions of the Cauchy problem for a one-dimensional Schrödinger equation with a smooth bounded potential by quasi-Feynman formulae. (English. Russian original) Zbl 07326746
Izv. Math. 85, No. 1, 24-60 (2021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 1, 27-65 (2021).
MSC:  81Q05 47D08 35C15 35J10 35L04
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\textit{D. V. Grishin} and \textit{Y. Yu. Pavlovskiy}, Izv. Math. 85, No. 1, 24--60 (2021; Zbl 07326746); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 1, 27--65 (2021)
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Zhang, Xiao; Yang, Bo; Wei, Chaozhen; Luo, Maokang
Bounded solution structure of Schrödinger equation in the presence of the minimal length and its effect: bound states in the continuum are universal. (English) Zbl 07319185
Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105694, 16 p. (2021).
MSC:  81V45 35B25 81Q05 81Q15 81R60 81S40 35R11 81S07 46F10
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\textit{X. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105694, 16 p. (2021; Zbl 07319185)
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Wakayama, Masato
Number theoretic study in quantum interactions. (English) Zbl 07315585
Takagi, Tsuyoshi (ed.) et al., International symposium on mathematics, quantum theory, and cryptography. Proceedings of MQC 2019, Fukuoka, Japan, September 25–27, 2019. Singapore: Springer (ISBN 978-981-15-5190-1/hbk; 978-981-15-5191-8/ebook). Mathematics for Industry 33, 95-101 (2021).
MSC:  81Q05 35P20 35P15 14H50 14H52 11M36 11E04
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\textit{M. Wakayama}, Math. Ind. (Tokyo) 33, 95--101 (2021; Zbl 07315585)
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Braak, Daniel
What kind of insight provide analytical solutions of quantum models? (English) Zbl 07315577
Takagi, Tsuyoshi (ed.) et al., International symposium on mathematics, quantum theory, and cryptography. Proceedings of MQC 2019, Fukuoka, Japan, September 25–27, 2019. Singapore: Springer (ISBN 978-981-15-5190-1/hbk; 978-981-15-5191-8/ebook). Mathematics for Industry 33, 5-6 (2021).
MSC:  81U15 81Q05 81Q10 81Q40 81R12 94A60 81P94 35P05
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\textit{D. Braak}, Math. Ind. (Tokyo) 33, 5--6 (2021; Zbl 07315577)
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Sukhanov, V. V.
Asymptotic behavior of solutions of the nonstationary Dirac euqation with potential that slowly depends on time. (English. Russian original) Zbl 07297525
J. Math. Sci., New York 252, No. 5, 695-701 (2021); translation from Zap. Nauchn. Semin. POMI 483, 189-198 (2019).
MSC:  35Q41 81Q05 81Q10 35B40
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\textit{V. V. Sukhanov}, J. Math. Sci., New York 252, No. 5, 695--701 (2021; Zbl 07297525); translation from Zap. Nauchn. Semin. POMI 483, 189--198 (2019)
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Samoilenko, A. M.; Chuiko, S. M.; Nesmelova, O. V.
Nonlinear boundary-value problems unsolved with respect to the derivative. (English. Ukrainian original) Zbl 07297498
Ukr. Math. J. 72, No. 8, 1280-1293 (2021); translation from Ukr. Mat. Zh. 72, No. 8, 1106-1118 (2020).
Reviewer: Jan Tomeček (Olomouc)
MSC:  34B15 34B10 34A45
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\textit{A. M. Samoilenko} et al., Ukr. Math. J. 72, No. 8, 1280--1293 (2021; Zbl 07297498); translation from Ukr. Mat. Zh. 72, No. 8, 1106--1118 (2020)
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Pastukhova, S. E.
A posteriori estimates of the deviation from exact solutions to variational problems under nonstandard coerciveness and growth conditions. (English. Russian original) Zbl 1455.49006
St. Petersbg. Math. J. 32, No. 1, 39-57 (2021); translation from Algebra Anal. 32, No. 1, 51-77 (2020).
MSC:  49J40 49N15
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\textit{S. E. Pastukhova}, St. Petersbg. Math. J. 32, No. 1, 39--57 (2021; Zbl 1455.49006); translation from Algebra Anal. 32, No. 1, 51--77 (2020)
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Sakbaev, V. Zh.
Transformation semigroups of the space of functions that are square integrable with respect to a translation-invariant measure on a Banach space. (English. Russian original) Zbl 07283002
J. Math. Sci., New York 252, No. 1, 72-89 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 151, 73-90 (2018).
Reviewer: Daniel Beltiţă (Bucureşti)
MSC:  28C20 47D08 81Q05
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\textit{V. Zh. Sakbaev}, J. Math. Sci., New York 252, No. 1, 72--89 (2021; Zbl 07283002); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 151, 73--90 (2018)
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Zavadskii, D. V.
Analogs of the Lebesgue measure in spaces of sequences and classes of functions integrable with respect to these measures. (English. Russian original) Zbl 07282998
J. Math. Sci., New York 252, No. 1, 36-42 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 151, 37-44 (2018).
Reviewer: Daniel Beltiţă (Bucureşti)
MSC:  28C20 81Q05 47D08
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\textit{D. V. Zavadskii}, J. Math. Sci., New York 252, No. 1, 36--42 (2021; Zbl 07282998); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 151, 37--44 (2018)
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Orlov, Viktor Nikolaevich; Leont’eva, Tat’yana Yur’evna
On extension of the domain for analytical approximate solution of one class of nonlinear differential equations of the second order in a complex domain. (Russian. English summary) Zbl 07294533
Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 24, No. 1, 174-186 (2020).
MSC:  34M04 34M35
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\textit{V. N. Orlov} and \textit{T. Y. Leont'eva}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 24, No. 1, 174--186 (2020; Zbl 07294533)
Full Text: DOI MNR
Klopp, F.; Fedotov, A. A.
On the hierarchical behavior of solutions of the Maryland equation in the semiclassical approximation. (English. Russian original) Zbl 1454.81067
Math. Notes 108, No. 6, 906-910 (2020); translation from Mat. Zametki 108, No. 6, 941-946 (2020).
MSC:  81Q05 39A12 39A06 37C55 93A13
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\textit{F. Klopp} and \textit{A. A. Fedotov}, Math. Notes 108, No. 6, 906--910 (2020; Zbl 1454.81067); translation from Mat. Zametki 108, No. 6, 941--946 (2020)
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