01.01.02 (Differential equations, dynamical systems, and optimal control)
Main publications:
Zubova S. P., Uskov V. I., “Asimptoticheskoe reshenie zadachi Koshi dlya uravneniya pervogo poryadka s malym parametrom v banakhovom prostranstve. Regulyarnyi sluchai”, Matematicheskie zametki, 103:3 (2018), 393-404
Zubova S.P., Hosni M.A., Uskov V.I., “Solution of a semi-boundary-value problem
for a first-order degenerate partial
differential equation”, Journal of Mathematical Sciences (New York), 268:1 (2022), 46-55
Zubova S. P., Uskov V. I., “Asimptoticheskoe reshenie singulyarno vozmuschennoi zadachi Koshi dlya uravneniya pervogo poryadka v banakhovom prostranstve”, Vestnik Voronezhskogo gosuniversiteta. Seriya: Fizika. Matematika, 2016, № 2, 147-155
Uskov V. I., “Reshenie zadachi Koshi dlya deskriptornogo uravneniya pervogo poryadka”, Vestnik Voronezhskogo gosuniversiteta. Seriya: Fizika. Matematika, 2019, № 1, 150-157
Zubova S.P., Raetskaya E.V., Uskov V.I., “Degeneracy property of a matrix-differential operator and applications”, Journal of Mathematical Sciences (New York), 255:5 (2021), 640-652
V. I. Uskov, “Branching equation for a first-order differential equation in a Banach space with quadratic perturbations of a small parameter”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 233 (2024), 99–106
2023
2.
V. I. Uskov, “Boundary layer phenomenon in a first-order algebraic-differential equation”, Russian Universities Reports. Mathematics, 28:144 (2023), 436–446
3.
V. I. Uskov, “Cauchy problem for a sedond-order degeneracy differential equation in a Banach space”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2023, no. 4, 70–80
2022
4.
V. I. Uskov, “Solution of the Mixed Problem for a Third-Order Partial Differential Equation”, Mat. Zametki, 111:6 (2022), 895–903; Math. Notes, 111:6 (2022), 932–939
5.
V. I. Uskov, “Solution of a second-order algebro-differential equation in a banach space”, Russian Universities Reports. Mathematics, 27:140 (2022), 375–385
6.
V. I. Uskov, “Properties of one higher order matrix-differential operator”, Russian Universities Reports. Mathematics, 27:138 (2022), 175–182
7.
V. I. Uskov, “Asymptotic expansions of solutions of singularly perturbed equations”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2022, no. 1, 18–32
2021
8.
V. I. Uskov, “Asymptotic Solution of the Cauchy Problem for a First-Order Differential Equation with a Small Parameter in a Banach Space”, Mat. Zametki, 110:1 (2021), 143–150; Math. Notes, 110:1 (2021), 145–151
V. I. Uskov, “Solving a second-order algebro-differential equation with respect to the derivative”, Russian Universities Reports. Mathematics, 26:136 (2021), 414–420
V. I. Uskov, “Study of rigidity of a first-order algebro-differential system with perturbation in the right-hand side”, Russian Universities Reports. Mathematics, 26:134 (2021), 172–181
V. I. Uskov, “Solution of a problem for a system of third order partial differential equations”, Russian Universities Reports. Mathematics, 26:133 (2021), 68–76
V. I. Uskov, “Asymptotic solution of the Cauchy problem for the first-order equation with perturbed Fredholm operator”, Russian Universities Reports. Mathematics, 25:129 (2020), 48–56
V. I. Uskov, “Singular perturbations in first-order partial differential equations with matrix-differential operators”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 173 (2019), 132–139
14.
S. P. Zubova, A. H. Mohamad, V. I. Uskov, “Solution of a semi-boundary-value problem for a first-order degenerate partial differential equation”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 173 (2019), 48–57
2018
15.
S. P. Zubova, V. I. Uskov, “Asymptotic Solution of the Cauchy Problem for a First-Order Equation with a Small Parameter in a Banach Space. The Regular Case”, Mat. Zametki, 103:3 (2018), 392–403; Math. Notes, 103:3 (2018), 395–404
V. I. Uskov, “Asymptotic solution of first-order equation with small parameter under the derivative with perturbed operator”, Tambov University Reports. Series: Natural and Technical Sciences, 23:124 (2018), 784–796
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