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Shestopalov Viktor Petrovich

Publications in Math-Net.Ru

  1. The method of the Riemann-Hilbert problem in the theory of diffraction by shells of arbitrary cross section

    Zh. Vychisl. Mat. Mat. Fiz., 38:8 (1998),  1314–1328
  2. New methods in the dynamic linear theory of open waveguide resonators

    Zh. Vychisl. Mat. Mat. Fiz., 37:7 (1997),  869–877
  3. A surface polariton near the Morse critical point

    Dokl. Akad. Nauk, 349:4 (1996),  464–467
  4. The Kadomtsev–Petviashvili equation in a neighborhood of a Morse critical point

    Dokl. Akad. Nauk, 348:6 (1996),  749–751
  5. Stable and unstable linear oscillations in distributed systems

    Dokl. Akad. Nauk, 347:2 (1996),  187–190
  6. Wave diffraction in a locally inhomogeneous medium

    Zh. Vychisl. Mat. Mat. Fiz., 36:7 (1996),  135–149
  7. The method of the linear spectral problem in the dynamics of nonlinear systems

    Dokl. Akad. Nauk, 344:5 (1995),  611–614
  8. On selfsimilar solutions of nonlinear evolution equations near a Morse critical point

    Dokl. Akad. Nauk, 338:4 (1994),  468–471
  9. Bistability observation in nuclear system of polarized nuclear target material

    Dokl. Akad. Nauk, 337:2 (1994),  184–186
  10. Control of local evolution processes near Morse points

    Dokl. Akad. Nauk, 335:4 (1994),  440–442
  11. Nonlinear evolution equations in a neighborhood of Morse points

    Dokl. Akad. Nauk, 334:1 (1994),  32–33
  12. Intertype modes (waves) of diffraction radiation generator

    Dokl. Akad. Nauk, 324:5 (1992),  997–999
  13. Inversionless amplification of information signal in passive nonlinear quasi-optical resonator

    Dokl. Akad. Nauk, 323:2 (1992),  270–273
  14. On the uniqueness of the solution of inverse problems in the electrodynamic theory of gratings

    Dokl. Akad. Nauk, 322:3 (1992),  516–519
  15. PHENOMENON OF FREQUENCY AUTOSTABILIZATION IN DIFFRACTION EMISSION GENERATORS

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 18:14 (1992),  33–37
  16. Interaction and forced natural oscillations of open waveguide resonators

    Dokl. Akad. Nauk SSSR, 320:1 (1991),  90–95
  17. A new class of dual summatory equations containing a Jacobi polynomial

    Dokl. Akad. Nauk SSSR, 317:6 (1991),  1369–1373
  18. Experimental investigation of intertype oscillations

    Dokl. Akad. Nauk SSSR, 317:1 (1991),  93–95
  19. Stark's plasma intermode oscillations in superlattice semiconductors

    Dokl. Akad. Nauk SSSR, 316:2 (1991),  342–346
  20. PI-TYPE OSCILLATIONS IN SLOT RESONATORS

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 17:7 (1991),  78–82
  21. Regularization of a boundary value problem of diffraction by a semi-transparent grating of bars of arbitrary cross-section with Dirichlet boundary condition

    Zh. Vychisl. Mat. Mat. Fiz., 31:6 (1991),  864–876
  22. Morse critical points of dispersion equations

    Dokl. Akad. Nauk SSSR, 314:6 (1990),  1396–1401
  23. Study of spectral characteristics of ammonia irradiated at $90$ K

    Dokl. Akad. Nauk SSSR, 314:6 (1990),  1389–1391
  24. Millimeter wave magnetic resonance in metal glasses

    Dokl. Akad. Nauk SSSR, 314:2 (1990),  337–339
  25. Observation of the effect of bistability under conditions of magnetic resonance in the millimeter wave range

    Dokl. Akad. Nauk SSSR, 313:4 (1990),  849–853
  26. An effective method for solution of the problem of diffraction on cylindrical screen

    Dokl. Akad. Nauk SSSR, 313:3 (1990),  585–589
  27. Resonance reconstruction of oscillations in an open resonator with spherical mirrors

    Dokl. Akad. Nauk SSSR, 312:5 (1990),  1111–1114
  28. Regularization of a boundary value problem of diffraction by a wavy surface with the Dirichlet condition

    Dokl. Akad. Nauk SSSR, 311:6 (1990),  1355–1359
  29. Reciprocity theorem in problems of the scattering of waves by inhomogeneities in planar open wave guides

    Dokl. Akad. Nauk SSSR, 311:5 (1990),  1110–1115
  30. Diffraction of waves by screens of finite thickness

    Dokl. Akad. Nauk SSSR, 310:5 (1990),  1100–1104
  31. EFFECT OF THE INTERACTION OF OPEN RESONANCE SYSTEMS WITH CONDUCTING RECTANGULAR CYLINDERS

    Zhurnal Tekhnicheskoi Fiziki, 60:6 (1990),  182–186
  32. An iterative method for solving a problem of diffraction by a spherical segment

    Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990),  1193–1200
  33. The method of difference equations in a resonator problem with a nonlinear reflector

    Dokl. Akad. Nauk SSSR, 309:2 (1989),  327–331
  34. Radar studies of the processes of mesoscale interactions in ocean-atmosphere systems from aerospace platforms

    Dokl. Akad. Nauk SSSR, 308:2 (1989),  353–357
  35. Resonance properties of an ellipsometer open resonator

    Dokl. Akad. Nauk SSSR, 307:4 (1989),  857–861
  36. Edge transmission lines with dielectric cover of edge

    Dokl. Akad. Nauk SSSR, 307:3 (1989),  578–582
  37. STOCHASTIC INTERACTION OF MODES IN THE ELECTRON-WAVE SELF-OSCILLATING SYSTEM WITH 2 FEEDBACK CHANNELS

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 15:18 (1989),  9–12
  38. Resonance and intermode oscillations

    Dokl. Akad. Nauk SSSR, 303:5 (1988),  1131–1134
  39. Diffraction of waves by a finite-thickness flat strip

    Dokl. Akad. Nauk SSSR, 301:3 (1988),  598–603
  40. The analytic nature of the phenomenon of the intertype connection of eigenoscillations

    Dokl. Akad. Nauk SSSR, 300:6 (1988),  1356–1359
  41. A general method for solving dual integral equations

    Dokl. Akad. Nauk SSSR, 300:4 (1988),  827–831
  42. Isolation of the physical solutions of problems in the theory of wave diffraction by one-dimensional periodic gratings

    Dokl. Akad. Nauk SSSR, 297:6 (1987),  1346–1350
  43. Interference of electromagnetic oscillations in an elliptic open resonator

    Dokl. Akad. Nauk SSSR, 297:4 (1987),  846–849
  44. Radar observation of atmospheric internal gravity waves from space

    Dokl. Akad. Nauk SSSR, 296:2 (1987),  317–320
  45. On the regularization of spectral problems of wave scattering by nonclosed screens

    Dokl. Akad. Nauk SSSR, 295:6 (1987),  1358–1362
  46. Waveguide angled bend – a waveguide-type open resonator

    Dokl. Akad. Nauk SSSR, 294:4 (1987),  848–850
  47. The existence of a discrete spectrum and waves of singular type in an open waveguide

    Dokl. Akad. Nauk SSSR, 293:3 (1987),  587–591
  48. On the existence of free quasistationary oscillations of an electromagnetic field in one-dimensional periodic gratings

    Dokl. Akad. Nauk SSSR, 293:1 (1987),  87–90
  49. Transformation of electromagnetic signals of wave submilimetric range in the $Ge-Ge_{1-x}\,Si_{x}$ superlattice

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 13:12 (1987),  734–736
  50. The principles of radiation, limit absorption and limit amplitude in problems of the diffraction of waves by one-dimensional periodic gratings

    Zh. Vychisl. Mat. Mat. Fiz., 27:10 (1987),  1555–1562
  51. Free oscillations of an electromagnetic field in one-dimensionally periodic lattices

    Zh. Vychisl. Mat. Mat. Fiz., 27:2 (1987),  262–271
  52. A problem of the optimization of diffraction electronics devices

    Dokl. Akad. Nauk SSSR, 291:4 (1986),  839–842
  53. Edge waves in an oversized metal strip

    Dokl. Akad. Nauk SSSR, 289:4 (1986),  859–862
  54. The quasi-$T$ spectrum of natural waves in the partially screened dielectric rod

    Dokl. Akad. Nauk SSSR, 289:1 (1986),  88–92
  55. Theory of the open resonator excitation by nonlinear currents

    Dokl. Akad. Nauk SSSR, 286:3 (1986),  625–629
  56. Possibilities of the determination of tropical cyclone parameters using radar images from space

    Dokl. Akad. Nauk SSSR, 286:2 (1986),  331–333
  57. The point spectrum of one-dimensionally periodic holographic lattices

    Dokl. Akad. Nauk SSSR, 286:1 (1986),  85–88
  58. On the spectral theory of a coaxial-waveguide resonator

    Zh. Vychisl. Mat. Mat. Fiz., 26:4 (1986),  552–562
  59. Scattering of waves by a system of cylindrical screens of arbitrary profile with Dirichlet boundary conditions

    Dokl. Akad. Nauk SSSR, 285:5 (1985),  1107–1109
  60. Uniqueness of solutions of spectral problems for one-dimensional-periodic lattices

    Dokl. Akad. Nauk SSSR, 285:2 (1985),  335–338
  61. Self-consistent solution of the problem of scattering by an inhomogeneity in an open waveguide

    Dokl. Akad. Nauk SSSR, 284:2 (1985),  337–341
  62. Radar observations of floods from space

    Dokl. Akad. Nauk SSSR, 284:2 (1985),  323–326
  63. Integrated study of environment with radiophyskal methods

    Dokl. Akad. Nauk SSSR, 284:1 (1985),  98–102
  64. The discrete spectrum of natural waves of an open partially screened dielectric rod

    Dokl. Akad. Nauk SSSR, 283:5 (1985),  1165–1169
  65. Diffraction of waves by intersecting circular cylindrical bodies

    Dokl. Akad. Nauk SSSR, 282:5 (1985),  1094–1098
  66. The Doppler radiation effect of delayed-action electron energy out of the diffraction radiation generator

    Dokl. Akad. Nauk SSSR, 280:6 (1985),  1353–1356
  67. Investigations of the relaxation of polarized nuclear target materials in inhomogeneously broadened EPR lines at $h\nu>kT$

    Dokl. Akad. Nauk SSSR, 280:4 (1985),  846–849
  68. Experimental observation of the diffraction radiation effect in the millimeter-wave range

    Dokl. Akad. Nauk SSSR, 280:2 (1985),  343–347
  69. METHOD FOR THE IMPROVEMENT OF OPEN RESONATOR QUALITY

    Zhurnal Tekhnicheskoi Fiziki, 55:6 (1985),  1192–1195
  70. Amplification of narrow-line stochastic signals by wide-line LBVO

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 11:12 (1985),  729–733
  71. Spectral theory of open two-dimensional resonators with dielectric inclusions

    Zh. Vychisl. Mat. Mat. Fiz., 25:4 (1985),  562–577
  72. Wave coupling in open resonators

    Dokl. Akad. Nauk SSSR, 279:5 (1984),  1114–1117
  73. Mesoscale formations on the ocean surface as investigated by the radiophysical method from the space

    Dokl. Akad. Nauk SSSR, 279:4 (1984),  860–862
  74. Ring structures on the radar images of the Earth form the space

    Dokl. Akad. Nauk SSSR, 279:4 (1984),  835–837
  75. Complex investigations of natural environment by the optical and radar methods

    Dokl. Akad. Nauk SSSR, 279:3 (1984),  621–623
  76. Conversion of the electromagnetic wave energy into the electric current in a three-dimensional semiconductor with superlattiee

    Dokl. Akad. Nauk SSSR, 279:3 (1984),  606–608
  77. Investigation of the stability and spectral characteristics of $\mathrm{Cr}^\mathrm{V}$ complexes

    Dokl. Akad. Nauk SSSR, 277:6 (1984),  1362–1365
  78. Miniaturization of the diffraction radiation generators

    Dokl. Akad. Nauk SSSR, 277:1 (1984),  84–88
  79. ELECTROMAGNETIC-WAVE EXTENSIONS BY ELECTRON-BEAMS DURING NEGATIVE VELOCITY DISORDER

    Zhurnal Tekhnicheskoi Fiziki, 54:12 (1984),  2359–2362
  80. EFFECT OF ABRUPT CHANGES OF THE Q-FACTOR OF OPEN ELECTRODYNAMIC STRUCTURES BY INTERNAL HETEROGENEITY

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 10:13 (1984),  827–830
  81. Spectral diffusion effect on the relaxation of $\mathrm{Cr}^{\mathrm{V}}$ HMBA stable radical in $1{,}2$ propylene glycol

    Dokl. Akad. Nauk SSSR, 273:6 (1983),  1348–1351
  82. Integrated radiophysical studies of ice covers

    Dokl. Akad. Nauk SSSR, 272:3 (1983),  598–600
  83. Nonlinear phenomena in a bulk semiconductor with a superlattice in the 8-millimeter wave range

    Dokl. Akad. Nauk SSSR, 271:6 (1983),  1360–1362
  84. A class of integro-summatory equations of diffraction theory

    Dokl. Akad. Nauk SSSR, 270:4 (1983),  860–864
  85. On one feature of the energy transformation in the diffraction radiation generators – free-electron lasers

    Dokl. Akad. Nauk SSSR, 268:4 (1983),  853–856
  86. THE EFFECT OF 2-COMPONENT DECOMPOSITION OF LOWER SPECTRAL FREQUENCY IN THE 2-SURFACE ELECTRODYNAMICAL HELMHOLTZ RESONATOR

    Zhurnal Tekhnicheskoi Fiziki, 53:12 (1983),  2396–2398
  87. EXCITATION OF PARTIALLY SCREENED ROUND DIELECTRIC ROD BY CONCENTRATED SOURCES

    Zhurnal Tekhnicheskoi Fiziki, 53:12 (1983),  2312–2321
  88. Ýêñïåðèìåíòàëüíîå èññëåäîâàíèå íåëèíåéíûõ âûñîêî÷àñòîòíûõ ñâîéñòâ â îáúåìíîì ïîëóïðîâîäíèêå ñî ñâåðõðåøåòêîé

    Fizika i Tekhnika Poluprovodnikov, 17:9 (1983),  1609–1612
  89. The rigorous solution of the two-dimensional problem of diffraction by a finite number of curvilinear screens

    Zh. Vychisl. Mat. Mat. Fiz., 23:6 (1983),  1506–1512
  90. On the Abel transformation in the problem of diffraction by a thin strip

    Dokl. Akad. Nauk SSSR, 267:2 (1982),  330–334
  91. On a new excitation mechanism of the diffraction radiation generator – the free-electron laser

    Dokl. Akad. Nauk SSSR, 265:2 (1982),  318–321
  92. Nonlinear problem of the strong electromagnetic wave diffraction on an open cylinder with plasma

    Dokl. Akad. Nauk SSSR, 264:1 (1982),  86–89
  93. On the features of scattering of waves, radiated by concentrated sources, on unclosed screens with small holes

    Dokl. Akad. Nauk SSSR, 263:6 (1982),  1347–1350
  94. Exact theory of wave scattering from the echelette-type diffraction grating with absorbing facets

    Dokl. Akad. Nauk SSSR, 263:4 (1982),  851–854
  95. Polarization effects in diffraction radiation generator – free electron lasers

    Dokl. Akad. Nauk SSSR, 262:5 (1982),  1124–1127
  96. On a model class of boundary value problems of electrodynamics

    Differ. Uravn., 18:4 (1982),  663–673
  97. On nonlinear processes in the diffraction radiation generators – free electron lasers

    Dokl. Akad. Nauk SSSR, 261:5 (1981),  1116–1118
  98. Investigation of the proton dynamic polarization in ethylene glycol and $1{,}2$-propylene glycol with stable radical $\mathrm{Cr}^{\mathrm{V}}$

    Dokl. Akad. Nauk SSSR, 260:5 (1981),  1093–1095
  99. On the effective solution of dual summation equations with a kernel in the form of Bessel functions

    Dokl. Akad. Nauk SSSR, 260:2 (1981),  313–316
  100. On boundary-value problems of electromagnetic wave transformation

    Dokl. Akad. Nauk SSSR, 260:1 (1981),  60–63
  101. On the resonance diffraction heating of spherically symmetric objects

    Dokl. Akad. Nauk SSSR, 257:2 (1981),  331–335
  102. On the theory of wave scattering on unclosed screens of spherical form

    Dokl. Akad. Nauk SSSR, 256:6 (1981),  1346–1350
  103. Summator equations with kernels in the form of Jacobi polynomials

    Dokl. Akad. Nauk SSSR, 253:2 (1980),  318–321
  104. A rigorous method for the study of electromagnetic interaction of a system of several resonance scatters

    Dokl. Akad. Nauk SSSR, 252:2 (1980),  328–331
  105. Helmholtz resonators in electrodynamics

    Dokl. Akad. Nauk SSSR, 250:2 (1980),  344–346
  106. Diffraction logical elements of an optical computer

    Dokl. Akad. Nauk SSSR, 248:5 (1979),  1070–1073
  107. Resonant ponderomotive effects in the electromagnetic wave scattering and radiation

    Dokl. Akad. Nauk SSSR, 248:2 (1979),  340–343
  108. On the diffraction input of the energy in a dielectric waveguide

    Dokl. Akad. Nauk SSSR, 247:1 (1979),  73–76
  109. A numerical method for solving operator equations

    Dokl. Akad. Nauk SSSR, 242:3 (1978),  570–573
  110. An effective solution of paired summation equations with kernels in the form of Legendre’s associated functions

    Dokl. Akad. Nauk SSSR, 242:1 (1978),  80–83
  111. Partial inversion of the operator for summator functional equations with the kernel in the form of periodic Mathieu functions

    Dokl. Akad. Nauk SSSR, 239:4 (1978),  811–814
  112. A rigorous solution of the problem of the perturbation of two circular cylinders with longitudinal slits

    Zh. Vychisl. Mat. Mat. Fiz., 18:5 (1978),  1196–1213
  113. The solution of a vector problem of diffraction by a sphere with an aperture

    Dokl. Akad. Nauk SSSR, 237:1 (1977),  60–63
  114. Electromagnetic analogue of Helmholtz resonator

    Dokl. Akad. Nauk SSSR, 234:1 (1977),  53–56
  115. A strict solution of the problem of a circular waveguide with a step discontinuity

    Zh. Vychisl. Mat. Mat. Fiz., 17:6 (1977),  1482–1493
  116. Diffraction of waves by a grid of circular cylinders with longitudinal slits

    Zh. Vychisl. Mat. Mat. Fiz., 17:5 (1977),  1234–1247
  117. Wave radiation by a sphere with a circular hole

    Zh. Vychisl. Mat. Mat. Fiz., 17:2 (1977),  394–406
  118. Diffraction of a plane wave by a sphere with a circular orifice

    Zh. Vychisl. Mat. Mat. Fiz., 14:5 (1974),  1232–1243
  119. Diffraction of waves by a sphere with holes

    Dokl. Akad. Nauk SSSR, 212:4 (1973),  838–841
  120. Diffraction of waves on a tape grid of the “Venetian blind” type

    Zh. Vychisl. Mat. Mat. Fiz., 12:2 (1972),  413–428
  121. Diffraction of a plane electromagnetic wave by a circular cylinder with longitudinal slit

    Zh. Vychisl. Mat. Mat. Fiz., 11:3 (1971),  719–737
  122. Fredholm integral equations of the second kind in the problem of the diffraction of a plane wave by a slit

    Differ. Uravn., 5:12 (1969),  2173–2199
  123. Äèôðàêöèÿ ýëåêòðîìàãíèòíûõ âîëí íà ïëîñêèõ ìåòàëëè÷åñêèõ äâóõýëåìåíòíûõ ðåøåòêàõ

    Zh. Vychisl. Mat. Mat. Fiz., 6:supplement to № 4 (1966),  113–130
  124. Methods of measuring dielectric constants of substances at microwave frequencies

    UFN, 74:4 (1961),  721–755

  125. Anatoliǐ Serafimovich Il'inskiǐ (on the occasion of his sixtieth birthday)

    Differ. Uravn., 35:8 (1999),  1011–1012
  126. Emanuil Aizikovich Kaner (Obituary)

    UFN, 151:2 (1987),  377–378

© Steklov Math. Inst. of RAS, 2024