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Found 34 Documents (Results 1–34)

Fundamental solutions for degenerate parabolic equations: existence, properties, and some applications. (English. Ukrainian original) Zbl 07798199

J. Math. Sci., New York 277, No. 1, 1-32 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 64, No. 2, 5-30 (2021).
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Discrete approximation of solutions of the Cauchy problem for a linear homogeneous differential-operator equation with a Caputo fractional derivative in a Banach space. (English. Russian original) Zbl 07712811

J. Math. Sci., New York 272, No. 6, 826-852 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 175, 79-104 (2020).
MSC:  65J08 34A08
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Internal and startup controls of the solutions of boundary-value problem for parabolic equations with degenerations. (English. Ukrainian original) Zbl 1514.35259

J. Math. Sci., New York 272, No. 1, 14-28 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 2, 17-28 (2020).
MSC:  35K20 35Q93
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Smooth solution to the second initial-boundary value problem for a parabolic system in a domain with nonsmooth lateral boundary. (English. Russian original) Zbl 1512.35135

J. Math. Sci., New York 269, No. 1, 1-17 (2023); translation from Probl. Mat. Anal. 120, 5-18 (2023).
MSC:  35B65 35K51
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On a general approach to construction of a self-adjoint dilation for a dissipative operator. (English. Russian original) Zbl 1515.47010

J. Math. Sci., New York 268, No. 6, 816-826 (2022); translation from Zap. Nauchn. Semin. POMI 503, 121-136 (2021).
MSC:  47A20 47B44
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The Cauchy problem for a multi-dimensional parabolic equation with Dini-continuous coefficients. (English. Russian original) Zbl 1495.35094

J. Math. Sci., New York 264, No. 5, 581-602 (2022); translation from Probl. Mat. Anal. 116, 85-103 (2022).
MSC:  35K15 35A08 35B45
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Green function of the first boundary-value problem for the fractional diffusion-wave equation in a multidimensional rectangular domain. (English. Russian original) Zbl 1491.35436

J. Math. Sci., New York 260, No. 3, 325-334 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 167, 52-61 (2019).
MSC:  35R11 35K20 35L20
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Stabilization of solutions to the Cauchy problem for fractional diffusion-wave equation. (English. Russian original) Zbl 1450.35277

J. Math. Sci., New York 250, No. 5, 800-810 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 149, 84-94 (2018).
MSC:  35R11 35B40 35L05
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Complete systems of eigenfunctions of the Vladimirov operator in \(L^2(B_r)\) and \(L^2(\mathbb{Q}_p)\). (English. Russian original) Zbl 1460.47048

J. Math. Sci., New York 237, No. 3, 362-374 (2019); translation from Fundam. Prikl. Mat. 21, No. 3, 39-56 (2016).
MSC:  47S10 47G30 35P10
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Integrated semigroups and \(C\)-semigroups and their applications. (English. Russian original) Zbl 1471.47030

J. Math. Sci., New York 230, No. 4, 513-646 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 131 (2017).
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An operator approach to the indefinite Stieltjes moment problem. (English. Ukrainian original) Zbl 1387.30050

J. Math. Sci., New York 227, No. 1, 33-67 (2017); translation from Ukr. Mat. Visn. 14, No. 1, 42-85 (2017).
MSC:  30E05 30E15 47A57
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1-D Schrödinger operators with local interactions on a discrete set with unbounded potential. (English. Ukrainian original) Zbl 1372.34132

J. Math. Sci., New York 220, No. 5, 554-583 (2017); translation from Ukr. Mat. Visn. 13, No. 1, 28-67 (2016).
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Inverse problem for a weakly nonlinear ultraparabolic equation with three unknown functions of different arguments on the right-hand side. (English. Ukrainian original) Zbl 1354.35182

J. Math. Sci., New York 217, No. 4, 476-514 (2016); translation from Neliniĭni Kolyvannya 18, No. 2, 245-279 (2015).
MSC:  35R30 35K70
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Nonlocal problem for autonomous quasilinear parabolic pseudodifferential equations with deviating argument. (English. Ukrainian original) Zbl 1352.35225

J. Math. Sci., New York 217, No. 4, 427-440 (2016); translation from Neliniĭni Kolyvannya 18, No. 2, 200-212 (2015).
MSC:  35S05 35K59 35A01
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The boundary-value problems for parabolic equations with a nonlocal condition and degenerations. (English. Ukrainian original) Zbl 1327.35139

J. Math. Sci., New York 207, No. 1, 26-38 (2015); translation from Ukr. Mat. Visn. 11, No. 4, 480-496 (2014).
MSC:  35K20 35K65
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Characterization of solutions of a class of ultraparabolic equations of the Kolmogorov type. (English. Ukrainian original) Zbl 1282.35211

J. Math. Sci., New York 173, No. 4, 341-370 (2011); translation from Ukr. Mat. Visn. 7, No. 1, 1-38 (2010).
MSC:  35K70 35K15 35C15
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\(Q_p\)-valued jump processes associated with linear and nonlinear pseudo-differential equations. (English. Russian original) Zbl 1288.60070

J. Math. Sci., New York 152, No. 6, 799-816 (2008); translation from Zap. Nauchn. Semin. POMI 351, 5-37 (2007).
MSC:  60H10 46S10 60J75
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Junctions of singularly degenerating domains with different limit dimensions. (English. Russian original) Zbl 0862.35027

J. Math. Sci., New York 80, No. 5, 1989-2034 (1996); translation from Tr. Semin. Im. I. G. Petrovskogo 18, 3-78 (1995).
Reviewer: O.Titow (Berlin)
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