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Found 1,653 Documents (Results 1–100)

Generalized solutions of degenerate integro-differential equations in Banach spaces. (English. Russian original) Zbl 07831288

J. Math. Sci., New York 279, No. 5, 710-722 (2024); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 183, 139-151 (2020).
MSC:  45N05 45K05
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On asymptotics of the spectrum of an integral operator with a logarithmic kernel of a special form. (English. Russian original) Zbl 07810127

Differ. Equ. 59, No. 12, 1721-1733 (2023); translation from Differ. Uravn. 59, No. 12, 1680-1691 (2023).
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The Weinstein transform associated with a family of generalized distributions. (English) Zbl 1525.46025

MSC:  46F12 46F05 46F10
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Fourier-transform method for partial differential equations. II: Existence and uniqueness of solutions to the Cauchy problem for linear equations. (English. Russian original) Zbl 1515.35018

Vestn. St. Petersbg. Univ., Math. 56, No. 1, 15-26 (2023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 1, 22-36 (2023).
MSC:  35A22 35G10
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Fourier convolution operators with symbols equivalent to zero at infinity on Banach function spaces. (English) Zbl 07819123

Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 335-343 (2022).
MSC:  47G10 42A45 46E30
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Spectrum of a convolution operator with potential. (English. Russian original) Zbl 07733468

Russ. Math. Surv. 77, No. 3, 546-548 (2022); translation from Usp. Mat. Nauk 77, No. 3, 173-174 (2022).
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On Volterra and Wiener-Hopf integral operators and corresponding equations of the first kind. (English. Russian original) Zbl 1503.45002

J. Contemp. Math. Anal., Armen. Acad. Sci. 57, No. 5, 268-275 (2022); translation from Izv. Nats. Akad. Nauk Armen., Mat. 57, No. 5, 4-14 (2022).
MSC:  45E10 45D05 45P05
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On the asymptotic behavior of eigenvalues and eigenfunctions of an integral convolution operator with a logarithmic kernel on a finite interval. (English. Russian original) Zbl 1501.45001

Differ. Equ. 58, No. 9, 1242-1257 (2022); translation from Differ. Uravn. 58, No. 9, 1251-1265 (2022).
MSC:  45C05 45P05 45E10
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Nonlinear integral equations with potential-type kernels in the nonperiodic case. (English. Russian original) Zbl 1494.45006

J. Math. Sci., New York 263, No. 4, 463-474 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 170, 3-14 (2019).
MSC:  45E10 45G10 47J05
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Method of maximal monotonic operators in the theory of nonlinear integro-differential equations of convolution type. (English. Russian original) Zbl 1491.45007

J. Math. Sci., New York 260, No. 3, 275-285 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 167, 3-13 (2019).
MSC:  45G10 47J05 47N20
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On the continuous linear right inverse for a convolution operator. (English) Zbl 1490.44006

Kusraev, Anatoly G. (ed.) et al., Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019. Cham: Birkhäuser. Trends Math., 163-184 (2021).
MSC:  44A35 46E10 46F05
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Calkin images of Fourier convolution operators with slowly oscillating symbols. (English) Zbl 07393030

Bastos, M. Amélia (ed.) et al., Operator theory, functional analysis and applications. Proceedings of the 30th international workshop on operator theory and its applications, IWOTA 2019, Lisbon, Portugal, July 22–26, 2019. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 282, 193-218 (2021).
MSC:  47G10 42A45 46E30
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