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Asymptotic expansion of the solution of a singularly perturbed optimal control problem with elliptical control constraints. (English. Russian original) Zbl 07524695

Autom. Remote Control 83, No. 1, 1-16 (2022); translation from Avtom. Telemekh. 2022, No. 1, 3-21 (2022).
MSC:  49-XX 93C70
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On mathematical modeling of a hypersonic flow past a thin wing with variable shape. (English. Russian original) Zbl 07485537

Vestn. St. Petersbg. Univ., Math. 54, No. 4, 395-399 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 4, 639-645 (2021).
MSC:  76K05 76L05 76M45
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On the stability of the zero solution of a differential equation of the second order in a critical case. (English. Russian original) Zbl 07485530

Vestn. St. Petersbg. Univ., Math. 54, No. 4, 345-350 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 4, 572-579 (2021).
MSC:  34D10 34D20 42A75
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Asymptotics of the solution to the Cauchy problem for a singularly perturbed operator differential transport equation in several space variables. (English. Russian original) Zbl 1481.35029

Comput. Math. Math. Phys. 61, No. 12, 2015-2023 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 12, 2050-2058 (2021).
MSC:  35B25 35Q20 35Q49
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On a comprehensive grid for solving problems having exponential or power-of-first-type layers. (English) Zbl 1481.76154

Garanzha, Vladimir A. (ed.) et al., Numerical geometry, grid generation and scientific computing. Proceedings of the 10th international conference, NUMGRID 2020 / Delaunay 130, celebrating the 130th anniversary of Boris Delaunay, Moscow, Russia, November 25–27, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 143, 227-240 (2021).
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Existence and stability of the solution to a system of two nonlinear diffusion equations in a medium with discontinuous characteristics. (English. Russian original) Zbl 07444580

Comput. Math. Math. Phys. 61, No. 11, 1811-1833 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 11, 1850-1872 (2021).
MSC:  35B25 35K51 35K58
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Deformation of an inviscid magnetizable liquid drop in a non-stationary magnetic field. (English. Russian original) Zbl 1478.76081

Fluid Dyn. 56, No. 5, 732-744 (2021); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 56, No. 5, 138-150 (2021).
MSC:  76W05 76T10 76M45
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Hamiltonian perturbation theory for ultra-differentiable functions. (English) Zbl 07403464

Memoirs of the American Mathematical Society 1319. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4691-8/pbk; 978-1-4704-6526-1/ebook). v, 89 p. (2021).
MSC:  37-02 37K55 37J40
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Methods for studying the stability of linear periodic systems depending on a small parameter. (English. Russian original) Zbl 07402926

J. Math. Sci., New York 258, No. 1, 115-127 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 113-126 (2019).
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Lyapunov functions and asymptotics at infinity of solutions of equations that are close to Hamiltonian equations. (English. Russian original) Zbl 1482.37053

J. Math. Sci., New York 258, No. 1, 97-109 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 96-107 (2019).
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Local solutions of the fast-slow model of an optoelectronic oscillator with delay. (English. Russian original) Zbl 1478.34088

Theor. Math. Phys. 207, No. 3, 727-737 (2021); translation from Teor. Mat. Fiz. 207, No. 3, 376-388 (2021).
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Singularly perturbed boundary value problems. A functional analytic approach. (English) Zbl 1481.35005

Cham: Springer (ISBN 978-3-030-76258-2/hbk; 978-3-030-76259-9/ebook). xvi, 672 p. (2021).
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