01.01.01 (Real analysis, complex analysis, and functional analysis)
Main publications:
Operatornye funktsii, differentsialnye uravneniya i dinamika sistem / otv. red. R. I. Trukhaev. - Moskva : Nauka, 1984. - 151 s.
Metod operatornykh funktsii v teorii differentsialnykh uravnenii : (S pril. k zadacham ekologii) / M. I. Gil; Otv. red. V. A. Efimov; AN SSSR, Dalnevost. otd-nie, Khabarov. kompleks. NII. - Moskva : Nauka, 1990. - 154 s.; ISBN 5-02-000179-1
M. I. Gil', “Solvability of a system of stationary Boussinesq equations”, Differ. Uravn., 27:11 (1991), 1936–1941; Differ. Equ., 27:11 (1991), 1377–1382
2.
M. I. Gil', L. L. Shargorodskaya, “An estimate for the norm of the resolvent of a quasi-Hermitian operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 1, 14–19; Soviet Math. (Iz. VUZ), 35:1 (1991), 16–20
3.
M. I. Gil', “On the uniqueness and stability of viscous incompressible fluid flows”, Mat. Model., 3:4 (1991), 78–82
4.
M. I. Gil', “Perturbation of the spectra of operators of a certain class”, Mat. Zametki, 49:3 (1991), 149–151; Math. Notes, 49:3 (1991), 328–330
M. I. Gil', “К статье “Условия равномерной корректности задачи Коши для уравнения с переменным оператором в гильбертовом пространстве””, Sibirsk. Mat. Zh., 31:5 (1990), 209
1989
6.
M. I. Gil', “Stability of essentially nonlinear time-dependent systems”, Dokl. Akad. Nauk SSSR, 308:2 (1989), 281–284; Dokl. Math., 34:9 (1989), 753–755
7.
M. I. Gil', “Estimates for the solutions of systems of nonlinear diffusion equations”, Differ. Uravn., 25:12 (1989), 2082–2090; Differ. Equ., 25:12 (1989), 1472–1480
8.
M. I. Gil', “The “freezing” method for nonlinear equations”, Differ. Uravn., 25:8 (1989), 1291–1297; Differ. Equ., 25:8 (1989), 912–917
9.
M. I. Gil', “Estimates for solutions of quasilinear systems of parabolic type”, Differ. Uravn., 25:4 (1989), 723–726
1988
10.
M. I. Gil', L. L. Shargorodskaya, “Conditions for the boundedness of solutions and existence of limit cycles for scalar differential equations of a certain type”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 5, 6–10; Soviet Math. (Iz. VUZ), 32:5 (1988), 1–7
1987
11.
M. I. Gil', “Single-circuit systems with several nonlinearities, which satisfy
the generalized Aĭzerman–Kalman hypothesis”, Dokl. Akad. Nauk SSSR, 292:6 (1987), 1315–1318
12.
M. I. Gil', “Two-sided estimates for solutions of systems of linear differential equations”, Differ. Uravn., 23:12 (1987), 2031–2036
13.
M. I. Gil', “On conditions for the dissipativity and existence of limit cycles of differential equations with a leading linear part”, Differ. Uravn., 23:4 (1987), 712–714
14.
M. I. Gil', “Conditions for the uniform well-posedness of the Cauchy problem for an equation with a variable operator in a Hilbert space”, Sibirsk. Mat. Zh., 28:2 (1987), 50–54; Siberian Math. J., 28:2 (1987), 216–220
1986
15.
M. I. Gil', L. L. Shargorodskaya, “On a criterion for the existence of limit cycles”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 11, 11–14; Soviet Math. (Iz. VUZ), 30:11 (1986), 12–15
1985
16.
M. I. Gil', “A class of absolutely stable distributed systems”, Avtomat. i Telemekh., 1985, no. 12, 54–59; Autom. Remote Control, 46 (1985), 1537–1543
M. I. Gil', “Determination of the domain of exponential stability of systems of differential equations”, Differ. Uravn., 19:8 (1983), 1452–1454
23.
M. I. Gil', “Estimates of the norm of the resolvent of a non-self-adjoint operator which is “nearly” self-adjoint or unitary”, Mat. Zametki, 33:2 (1983), 161–167; Math. Notes, 33:2 (1983), 81–84
M. I. Gil', “Estimates of the norms of solutions and of the boundaries of domains of stability of quasilinear systems”, Sibirsk. Mat. Zh., 23:5 (1982), 219–221
1981
25.
M. I. Gil', “On stability of nonstationary distributed systems”, Avtomat. i Telemekh., 1981, no. 1, 5–8; Autom. Remote Control, 42:1 (1981), 1–3
M. I. Gil', “Об оценке траектории линейной нестационарной системы”, Differ. Uravn., 16:6 (1980), 1126
1979
27.
M. I. Gil', “Estimates of the norm of a function of a Hilbert–Schmidt operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 8, 14–19; Soviet Math. (Iz. VUZ), 23:8 (1979), 3–18
28.
M. I. Gil', “Estimation of the norm of the resolvent of a completely continuous operator”, Mat. Zametki, 26:5 (1979), 713–717; Math. Notes, 26:5 (1979), 849–851
M. I. Gil', “Operator colligations of open systems with scattering channels”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 8, 19–28; Soviet Math. (Iz. VUZ), 19:8 (1975), 15–22
1974
30.
M. I. Gil', L. L. Shargorodskaya, “A certain approximate method for the inversion of the Laplace transform of functions of several variables”, Zh. Vychisl. Mat. Mat. Fiz., 14:2 (1974), 487–489; U.S.S.R. Comput. Math. Math. Phys., 14:2 (1974), 213–215
1973
31.
M. I. Gil', “On the representation of the resolvent of a nonselfadjoint operator by integrals with respect to a spectral function”, Dokl. Akad. Nauk SSSR, 211:6 (1973), 1267–1269
32.
M. I. Gil', “On operator colligations with nonunitary characteristic operator-valued functions”, Dokl. Akad. Nauk SSSR, 211:5 (1973), 1035–1037
1972
33.
M. I. Gil', “A certain approximate method of the inverse Laplace transform”, Zh. Vychisl. Mat. Mat. Fiz., 12:2 (1972), 475–480; U.S.S.R. Comput. Math. Math. Phys., 12:2 (1972), 240–248
1974
34.
M. I. Gil', “Поправки к статье “Об операторных узлах с неунитарными характеристическими оператор-функциями”
(ДАН, т. 211, № 5, 1973 г.)”, Dokl. Akad. Nauk SSSR, 215:6 (1974), 768
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