A. A. Arsen'ev, “Tunneling through a quantum dot in a quantum waveguide”, Zh. Vychisl. Mat. Mat. Fiz., 50:7 (2010), 1222–1232; Comput. Math. Math. Phys., 50:7 (2010), 1162–1171
2006
2.
A. A. Arsen'ev, “Representation of the Green's function of Schrödinger's
equation with almost periodic potential by a path integral
over coherent states”, Mat. Sb., 197:11 (2006), 3–12; Sb. Math., 197:11 (2006), 1559–1568
3.
A. A. Arsen'ev, “Resonances and tunneling in a quantum wire”, TMF, 147:1 (2006), 92–102; Theoret. and Math. Phys., 147:1 (2006), 524–532
A. A. Arsen'ev, “Approximation to the solution of the Cauchy problem for a smoothed Schrödinger–Poisson equation in a magnetic field”, Differ. Uravn., 41:1 (2005), 116–120; Differ. Equ., 41:1 (2005), 121–125
5.
A. A. Arsen'ev, “Resonances and trapped modes in a quantum waveguide”, Zh. Vychisl. Mat. Mat. Fiz., 45:9 (2005), 1630–1638; Comput. Math. Math. Phys., 45:9 (2005), 1573–1581
A. A. Arsen'ev, “On the asymptotics of energy transmitted by an
almost periodic source of oscillations to an
open resonator over a long time”, Mat. Sb., 195:3 (2004), 3–14; Sb. Math., 195:3 (2004), 303–315
A. A. Arsen'ev, “Resonances and Tunneling in the Tight-Binding Approximation to Scattering in a Quantum Billiard”, TMF, 141:1 (2004), 100–112; Theoret. and Math. Phys., 141:1 (2004), 1415–1426
A. A. Arsen'ev, “Relation Between a Pole of the Scattering Matrix and the Transmission and Reflection Coefficients in Scattering in a Quantum Waveguide”, TMF, 140:2 (2004), 303–309; Theoret. and Math. Phys., 140:2 (2004), 1151–1156
A. A. Arsen'ev, “Approximation of the solution of the Cauchy problem for the Neumann–Liouville equation”, Zh. Vychisl. Mat. Mat. Fiz., 44:10 (2004), 1845–1849; Comput. Math. Math. Phys., 44:10 (2004), 1757–1761
2003
11.
A. A. Arsen'ev, “Resonance scattering in quantum wave guides”, Mat. Sb., 194:1 (2003), 3–22; Sb. Math., 194:1 (2003), 1–19
A. A. Arsen'ev, “Mathematical Model of Resonances and Tunneling in a System with a Bound State”, TMF, 136:3 (2003), 507–516; Theoret. and Math. Phys., 136:3 (2003), 1336–1345
A. A. Arsen'ev, “Combined scaling for the waveguide trapped modes and resonances”, Zh. Vychisl. Mat. Mat. Fiz., 43:8 (2003), 1223–1227; Comput. Math. Math. Phys., 43:8 (2003), 1172–1176
15.
A. A. Arsen'ev, “A remark on the numerical solution of a scattering problem for the Schrödinger equation on the whole line”, Zh. Vychisl. Mat. Mat. Fiz., 43:3 (2003), 433–434; Comput. Math. Math. Phys., 43:3 (2003), 414–415
2002
16.
A. A. Arsen'ev, “Resonance scattering in a waveguide with filling”, Zh. Vychisl. Mat. Mat. Fiz., 42:12 (2002), 1804–1809; Comput. Math. Math. Phys., 42:12 (2002), 1733–1738
17.
A. A. Arsen'ev, “Resonance scattering in quantum waveguides”, Zh. Vychisl. Mat. Mat. Fiz., 42:3 (2002), 417–424; Comput. Math. Math. Phys., 42:3 (2002), 398–405
A. A. Arsen'ev, “Behaviour of the scattering amplitude of the Helmholtz resonator near a resonance”, Mat. Sb., 192:9 (2001), 3–16; Sb. Math., 192:9 (2001), 1259–1273
A. A. Arsen'ev, “An approximation of the Green function for the Schrödinger equation”, Differ. Uravn., 35:3 (1999), 319–324; Differ. Equ., 35:3 (1999), 320–325
A. A. Arsen'ev, “Example of resonance scattering for the one-dimensional wave equation”, Mat. Sb., 190:6 (1999), 3–10; Sb. Math., 190:6 (1999), 783–790
24.
A. A. Arsen'ev, “Resonance solutions to a scattering problem for the Sturm–Liouville equation on semiaxis”, Zh. Vychisl. Mat. Mat. Fiz., 39:8 (1999), 1317–1327; Comput. Math. Math. Phys., 39:8 (1999), 1264–1274
1998
25.
A. A. Arsen'ev, “Estimation of the Schrödinger operator Green's function”, TMF, 115:1 (1998), 85–92; Theoret. and Math. Phys., 115:1 (1998), 441–447
A. A. Arsen'ev, “Estimation of the imaginary part of the scattering matrix pole for the three-dimensional Schrödinger equation with a trap potential”, TMF, 114:2 (1998), 271–276; Theoret. and Math. Phys., 114:2 (1998), 215–219
27.
A. A. Arsen'ev, “Approximate propagator for the Schrödinger equation”, Zh. Vychisl. Mat. Mat. Fiz., 38:7 (1998), 1186–1189; Comput. Math. Math. Phys., 38:7 (1998), 1134–1137
28.
A. A. Arsen'ev, “Scattering problem for the Neumann-Liouville equation”, Zh. Vychisl. Mat. Mat. Fiz., 38:4 (1998), 635–637; Comput. Math. Math. Phys., 38:4 (1998), 611–613
1997
29.
A. A. Arsen'ev, “Estimate of the solution of the scattering problem for a one-dimensional trapping potential”, Mat. Sb., 188:12 (1997), 3–10; Sb. Math., 188:12 (1997), 1731–1738
A. A. Arsen'ev, “Resonance properties of the scattering matrix for the one-dimensional Schrödinger operator with a trapping potential”, Mat. Sb., 187:6 (1996), 3–20; Sb. Math., 187:6 (1996), 785–802
A. A. Arsen'ev, “On resonance properties of scattering amplitude for Schrödinger equation with trapping potential”, TMF, 104:2 (1995), 214–232; Theoret. and Math. Phys., 104:2 (1995), 935–949
A. A. Arsen'ev, “Resonance properties of the solution of the problem of scattering
by a one-dimensional potential trap”, Dokl. Akad. Nauk, 338:2 (1994), 171–172; Dokl. Math., 39:9 (1994), 609–610
35.
A. A. Arsen'ev, “On the behavior of reflection and transmission coefficients near
resonance at the quasi-level”, Dokl. Akad. Nauk, 336:3 (1994), 307–308; Dokl. Math., 39:5 (1994), 295–296
36.
A. A. Arsen'ev, “The resonance properties of the scattering amplitude of the Helmholtz resonator”, Matem. Mod., 6:6 (1994), 47–66
A. A. Arsen'ev, “On the resonant properties of the scattering time operator”, Matem. Mod., 5:7 (1993), 49–58
1992
38.
A. A. Arsen'ev, “Initial-boundary problem for quantum Liouville equation”, Matem. Mod., 4:3 (1992), 119–124
1991
39.
A. A. Arsen'ev, “A note on the particle method for the quantum Liouville equation”, Matem. Mod., 3:2 (1991), 151–156
1990
40.
A. A. Arsen'ev, O. E. Buryak, “On the connection between the solutions of the Boltzman and the Landau–Fokker–Planck equations”, Mat. Sb., 181:4 (1990), 435–446; Math. USSR-Sb., 69:2 (1991), 465–478
A. A. Arsen'ev, “On a connection between the Boltzmann equation and the Landau–Fokker–Planck equations”, Dokl. Akad. Nauk SSSR, 305:2 (1989), 322–324; Dokl. Math., 34:3 (1989), 212–213
A. A. Arsen'ev, “On the approximation of the Boltzmann equation by Ito stochastic
equations”, Dokl. Akad. Nauk SSSR, 293:3 (1987), 584–586
49.
A. A. Arsen'ev, “Vlasov limit of correlation functions of the grand canonical ensemble”, TMF, 72:3 (1987), 477–480; Theoret. and Math. Phys., 72:3 (1987), 1016–1018
50.
A. A. Arsen'ev, “Estimates for the rate of convergence of the particle method for the Vlasov equation”, Zh. Vychisl. Mat. Mat. Fiz., 27:4 (1987), 557–563; U.S.S.R. Comput. Math. Math. Phys., 27:2 (1987), 155–160
A. A. Arsen'ev, “On the approximation of the solution of the Boltzmann equation by solutions of the Ito stochastic differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 27:3 (1987), 400–410; U.S.S.R. Comput. Math. Math. Phys., 27:2 (1987), 51–59
A. A. Arsen'ev, “Estimates for the rate of convergence of the particle method for the Vlasov equation”, Dokl. Akad. Nauk SSSR, 291:6 (1986), 1340–1342
53.
A. A. Arsen'ev, “Vlasov limit of the correlation functions of the grand canonical ensemble”, TMF, 68:1 (1986), 151–154; Theoret. and Math. Phys., 68:1 (1986), 737–739
A. A. Arsen'ev, “Some estimates for the solution of the Vlasov equation”, Zh. Vychisl. Mat. Mat. Fiz., 25:1 (1985), 80–87; U.S.S.R. Comput. Math. Math. Phys., 25:1 (1985), 52–57
A. A. Arsen'ev, “On invariant measures for classical dynamical systems with infinite-dimensional phase space”, Mat. Sb. (N.S.), 121(163):3(7) (1983), 297–309; Math. USSR-Sb., 49:2 (1984), 291–303
A. A. Arsen'ev, “Estimate of the critical density of Bose-Einstein condensation in a periodic potential”, TMF, 55:1 (1983), 156–160; Theoret. and Math. Phys., 55:1 (1983), 419–422
A. A. Arsen'ev, “Kubo-Martin-Schwinger states for dynamical systems that are described by equations of hyperbolic type”, Differ. Uravn., 17:10 (1981), 1759–1764
58.
A. A. Arsen'ev, “An example of a Kubo–Martin–Schwinger state for a nonlinear classical poisson system with infinite-dimensional phase space”, Mat. Sb. (N.S.), 115(157):1(5) (1981), 116–129; Math. USSR-Sb., 43:1 (1982), 103–115
1980
59.
A. A. Arsen'ev, “Uniqueness of Kubo–Martin–Schwinger states for classical dynamical systems with infinite-dimensional phase space”, TMF, 44:2 (1980), 209–216; Theoret. and Math. Phys., 44:2 (1980), 697–702
1979
60.
A. A. Arsen'ev, “The existence of generalized and stationary statistical solutions of a system of Vlasov equations in a bounded domain”, Differ. Uravn., 15:7 (1979), 1253–1266
A. A. Arsen'ev, “Statistical solutions of a nonlinear wave equation”, Differ. Uravn., 15:7 (1979), 1239–1252
62.
A. A. Arsen'ev, “On statistical solutions of the Navier–Stokes system of equations”, Mat. Sb. (N.S.), 110(152):1(9) (1979), 35–50; Math. USSR-Sb., 38:1 (1981), 31–45
A. A. Arsen'ev, “Kubo—Martin–Schwinger states of classical dynamical systems with infinite phase space”, TMF, 38:3 (1979), 306–312; Theoret. and Math. Phys., 38:3 (1979), 202–206
A. A. Arsen'ev, “On the existence of generalized and stationary statistical solutions of Vlasov’s system of equations in a bounded domain”, Dokl. Akad. Nauk SSSR, 239:4 (1978), 761–763
1977
65.
A. A. Arsen'ev, “On the existence of invariant measures on the solution space of an evolution equation”, Dokl. Akad. Nauk SSSR, 233:2 (1977), 269–271
66.
A. A. Arsen'ev, “Construction of a turbulent measure for Vlasov's system of equations”, Mat. Sb. (N.S.), 102(144):1 (1977), 13–32; Math. USSR-Sb., 31:1 (1977), 9–27
A. A. Arsen'ev, N. V. Peskov, “On the existence of a generalized solution of Landau's equation”, Zh. Vychisl. Mat. Mat. Fiz., 17:4 (1977), 1063–1068; U.S.S.R. Comput. Math. Math. Phys., 17:4 (1977), 241–246
A. A. Arsen'ev, “Construction of a turbulence measure for the system of Navier–Stokes equations”, Mat. Sb. (N.S.), 101(143):2(10) (1976), 204–211; Math. USSR-Sb., 30:2 (1976), 179–186
A. A. Arsen'ev, “The existence of resonance poles and scattering resonances in the case of boundary conditions of the second and third kind”, Zh. Vychisl. Mat. Mat. Fiz., 16:3 (1976), 718–724; U.S.S.R. Comput. Math. Math. Phys., 16:3 (1976), 171–177
A. A. Arsen'ev, “On the existence of statistical solutions of the Vlasov system of equations”, Dokl. Akad. Nauk SSSR, 220:6 (1975), 1249–1250
72.
A. A. Arsen'ev, “The existence of statistical solutions of Vlasov's system of equations”, Differ. Uravn., 11:7 (1975), 1256–1268
73.
A. A. Arsen'ev, “Note on estimating the width of lower energy bands in a periodic potential”, TMF, 23:3 (1975), 418–420; Theoret. and Math. Phys., 23:3 (1975), 615–616
A. A. Arsen'ev, “Existence and uniqueness of the classical solution of Vlasov's system of equations”, Zh. Vychisl. Mat. Mat. Fiz., 15:5 (1975), 1344–1349; U.S.S.R. Comput. Math. Math. Phys., 15:5 (1975), 252–258
A. A. Arsen'ev, “Asymptotic behaviour of the energy emitted by an almost periodic source of oscillations”, Zh. Vychisl. Mat. Mat. Fiz., 15:4 (1975), 1062–1066; U.S.S.R. Comput. Math. Math. Phys., 15:4 (1975), 246–251
A. A. Arsen'ev, “Existence in the large of a weak solution of Vlasov's system of equations”, Zh. Vychisl. Mat. Mat. Fiz., 15:1 (1975), 136–147; U.S.S.R. Comput. Math. Math. Phys., 15:1 (1975), 131–143
A. A. Arsen'ev, “On the existence of resonance poles and resonances in scattering in the case of boundary conditions of the second and third kind”, Dokl. Akad. Nauk SSSR, 219:5 (1974), 1033–1035
78.
A. A. Arsen'ev, “Local uniqueness and existence of a classical solution of Vlasov's system of equations”, Dokl. Akad. Nauk SSSR, 218:1 (1974), 11–12
1973
79.
A. A. Arsen'ev, “Global existence of a weak solution of Vlasov's system of equations”, Dokl. Akad. Nauk SSSR, 213:4 (1973), 761–763
80.
A. A. Arsen'ev, “On phase shift behavior near resonance”, TMF, 15:2 (1973), 259–265; Theoret. and Math. Phys., 15:2 (1973), 505–510
A. Z. Rakhel‘kin, A. A. Arsen’ev, G. L. Khorasanov, “Èîíèçàòîð ïàðîâ ùåëî÷íûõ ìåòàëëîâ”, TVT, 10:1 (1972), 182–183
82.
A. N. Tikhonov, A. A. Samarskii, A. A. Arsen'ev, “A method for the asymptotic estimation of integrals”, Zh. Vychisl. Mat. Mat. Fiz., 12:4 (1972), 1005–1012; U.S.S.R. Comput. Math. Math. Phys., 12:4 (1972), 196–206
A. A. Arsen'ev, “The singularities of the analytic continuation and resonance properties of the solution of the scattering problem for the Helmholtz equation”, Zh. Vychisl. Mat. Mat. Fiz., 12:1 (1972), 112–138; U.S.S.R. Comput. Math. Math. Phys., 12:1 (1972), 139–173
A. A. Arsen'ev, “On the singularities of the analytic continuation and the resonance properties of a solution of the dispersion problem for the Helmholtz equation”, Dokl. Akad. Nauk SSSR, 197:3 (1971), 511–512
A. A. Arsen'ev, “The behavior of the energy of a solution of the wave equation in an unbounded region, for large values of the time”, Dokl. Akad. Nauk SSSR, 193:6 (1970), 1215–1217
86.
A. A. Arsen'ev, V. A. Il'in, “mean value formula for the fundamental functions of the Beltrami operator, and a precise estimate of the sum of the squares of the fundamental functions”, Dokl. Akad. Nauk SSSR, 190:6 (1970), 1263–1266
87.
A. A. Arsen'ev, “Estimate of the energy width of a quasistationary level”, TMF, 5:1 (1970), 94–97; Theoret. and Math. Phys., 5:1 (1970), 1006–1008
A. A. Arsen'ev, “Resonance scattering by a “potential trap” and the Breit–Wigner formula”, TMF, 2:3 (1970), 361–366; Theoret. and Math. Phys., 2:3 (1970), 261–265
89.
A. A. Arsen'ev, “The behavior of the energy of a solution of the wave equation at large values of the time”, Zh. Vychisl. Mat. Mat. Fiz., 10:4 (1970), 1037–1041; U.S.S.R. Comput. Math. Math. Phys., 10:4 (1970), 299–306
1969
90.
A. A. Arsen'ev, “The asymptotic behavior of the wave function for a quasi-stationary state”, Dokl. Akad. Nauk SSSR, 188:3 (1969), 545–547
91.
A. A. Arsen'ev, “The behavior of a generalized solution of a mixed problem for the wave equation in a region which is nearly closed”, Dokl. Akad. Nauk SSSR, 185:3 (1969), 495–498
92.
A. A. Arsen'ev, “Scattering of a plane wave by a “trap-like” region”, Differ. Uravn., 5:10 (1969), 1854–1860
93.
A. A. Arsen'ev, “Asymptotics of the wave function of the quasistationary state”, TMF, 1:1 (1969), 120–136; Theoret. and Math. Phys., 1:1 (1969), 94–107
A. A. Arsen'ev, “Behaviour of an S. L. Sobolev generalized solution of a mixed problem for a wave equation in almost closed domains”, Zh. Vychisl. Mat. Mat. Fiz., 9:5 (1969), 1094–1101; U.S.S.R. Comput. Math. Math. Phys., 9:5 (1969), 146–157
A. A. Arsen'ev, “Equivalent regularizations of the problem of scattering at a singular potential”, Zh. Vychisl. Mat. Mat. Fiz., 9:4 (1969), 959–960; U.S.S.R. Comput. Math. Math. Phys., 9:4 (1969), 306–309
96.
A. A. Arsen'ev, “The expansion in eigenfunctions of the Schrödinger operator with a strongly singular potential”, Zh. Vychisl. Mat. Mat. Fiz., 9:1 (1969), 137–163; U.S.S.R. Comput. Math. Math. Phys., 9:1 (1969), 179–215
A. A. Arsen'ev, “The eigenfunction expansion of a Schrödinger operator with strongly singular potential”, Dokl. Akad. Nauk SSSR, 182:1 (1968), 13–15
98.
A. A. Arsen'ev, “Scattering of a plane wave on a singular potential”, Dokl. Akad. Nauk SSSR, 178:6 (1968), 1231–1233
99.
A. A. Arsen'ev, “The spectral function of a Schrödinger operator with strongly singular potential wave operators”, Zh. Vychisl. Mat. Mat. Fiz., 8:6 (1968), 1232–1241; U.S.S.R. Comput. Math. Math. Phys., 8:6 (1968), 63–75
A. A. Arsen'ev, “Scattering of a plane wave on a singular potential”, Zh. Vychisl. Mat. Mat. Fiz., 8:3 (1968), 544–572; U.S.S.R. Comput. Math. Math. Phys., 8:3 (1968), 54–96
A. A. Arsen'ev, “The asymptotic spectral function of the Schrödinger equation”, Zh. Vychisl. Mat. Mat. Fiz., 7:6 (1967), 1298–1319; U.S.S.R. Comput. Math. Math. Phys., 7:6 (1967), 113–138
A. A. Arsen'ev, “Asymptotic behavior of the spectral function of the Schrödinger operator in an unbounded region”, Uspekhi Mat. Nauk, 21:5(131) (1966), 254–255
104.
A. A. Arsen'ev, “On solution of the dispersion equation for the linearized Boltzmann equation in the kinetic theory of rarefied gases”, Zh. Vychisl. Mat. Mat. Fiz., 6:2 (1966), 375–380; U.S.S.R. Comput. Math. Math. Phys., 6:2 (1966), 259–267
A. A. Arsen'ev, “Cauchy problem for Boltzmann's linearized equation”, Dokl. Akad. Nauk SSSR, 163:5 (1965), 1104–1106
106.
A. A. Arsen'ev, “The Cauchy problem for the linearized Boltzmann equation”, Zh. Vychisl. Mat. Mat. Fiz., 5:5 (1965), 864–882; U.S.S.R. Comput. Math. Math. Phys., 5:5 (1965), 110–136
A. A. Arsen'ev, “Asymptotic properties of the trace of the spectral function of a self-adjoint elliptic differential operator of second order”, Dokl. Akad. Nauk SSSR, 157:4 (1964), 761–763
108.
A. A. Arsen'ev, “On the Fourier transform of a slowly decreasing function”, Dokl. Akad. Nauk SSSR, 154:2 (1964), 251–253
1999
109.
V. N. Abrashin, A. A. Arsen'ev, I. V. Gaishun, A. V. Gulin, S. V. Emel'yanov, V. A. Il'in, D. P. Kostomarov, S. P. Kurdyumov, Yu. S. Osipov, Yu. P. Popov, V. A. Sadovnichii, “Aleksandr Andreevich Samarskiǐ (on the occasion of his eightieth birthday)”, Differ. Uravn., 35:2 (1999), 147–151; Differ. Equ., 35:2 (1999), 145–150
1997
110.
A. A. Arsen'ev, “Corrigenda: Teor. Mat. Fiz. 1996. V. 106. № 1. P. 16–23”, TMF, 111:1 (1997), 159; Theoret. and Math. Phys., 111:1 (1997), 519
A. A. Arsen'ev, A. V. Bitsadze, A. A. Dorodnitsyn, S. V. Emel'yanov, V. A. Il'in, S. P. Kurdyumov, Yu. S. Osipov, “Aleksandr Andreevich Samarskiǐ (on the occasion of his seventy-fifth birthday)”, Differ. Uravn., 30:7 (1994), 1107–1110; Differ. Equ., 30:7 (1994), 1027–1029
1989
112.
A. A. Arsen'ev, A. V. Bitsadze, A. A. Dorodnitsyn, S. V. Emel'yanov, N. P. Erugin, V. A. Il'in, S. P. Kurdyumov, A. N. Tikhonov, “Aleksandr Andreevich Samarskiǐ (on the occasion of his seventieth birthday)”, Differ. Uravn., 25:12 (1989), 2027–2043; Differ. Equ., 25:12 (1989), 1419–1438
1980
113.
A. N. Tikhonov, A. V. Bitsadze, V. A. Il'in, A. G. Sveshnikov, A. A. Arsen'ev, “Aleksandr Andreevich Samarskii (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 35:1(211) (1980), 223–232; Russian Math. Surveys, 35:1 (1980), 241–253
1979
114.
A. N. Tikhonov, A. V. Bitsadze, N. P. Erugin, A. A. Arsen'ev, V. A. Il'in, A. G. Sveshnikov, Yu. P. Popov, “Aleksandr Andreevič Samarskiǐ (on the occasion of his 60th birthday)”, Differ. Uravn., 15:7 (1979), 1155–1163
A. A. Arsen'ev, “Letter to the editors: “The existence of statistical solutions of a system of Vlasov equations” (Differencial'nye Uravnenija 11 (1975), no. 7, 1256–1268)”, Differ. Uravn., 12:11 (1976), 2105
1969
116.
A. N. Tikhonov, V. A. Il'in, A. G. Sveshnikov, A. A. Arsen'ev, “Aleksandr Andreevič Samarskiǐ on his fiftieth birthday”, Differ. Uravn., 5:10 (1969), 1909–1914
117.
A. A. Arsen'ev, “Errata”, Zh. Vychisl. Mat. Mat. Fiz., 9:6 (1969), 1234
118.
A. A. Arsen'ev, “Letter to the editors”, Zh. Vychisl. Mat. Mat. Fiz., 9:5 (1969), 1223; U.S.S.R. Comput. Math. Math. Phys., 9:5 (1969), 339–340