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Found 86 Documents (Results 1–86)

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Numerical simulation of problems of shielding pulsed electromagnetic fields by permalloy screens. (English. Russian original) Zbl 07488192

Differ. Equ. 57, No. 12, 1702-1718 (2021); translation from Differ. Uravn. 57, No. 12, 1682-1697 (2021).
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Existence of periodic solutions of a third-order nonlinear system. (English. Russian original) Zbl 07452236

Differ. Equ. 57, No. 10, 1341-1357 (2021); translation from Differ. Uravn. 57, No. 10, 1367-1383 (2021).
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Method of orthogonal polynomials for an approximate solution of singular integro-differential equations as applied to two-dimensional diffraction problems. (English. Russian original) Zbl 07373283

Differ. Equ. 57, No. 6, 814-823 (2021); translation from Differ. Uravn. 57, No. 6, 830-839 (2021).
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Singular modes of the integral scattering operator in anisotropic inhomogeneous media. (English. Russian original) Zbl 1451.78022

Differ. Equ. 56, No. 9, 1212-1218 (2020); translation from Differ. Uravn. 56, No. 9, 1245-1251 (2020).
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Study of the kernels of integral equations in problems of wave diffraction in waveguides and by periodic structures. (English. Russian original) Zbl 1451.78031

Differ. Equ. 56, No. 9, 1167-1180 (2020); translation from Differ. Uravn. 56, No. 9, 1201-1213 (2020).
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Method of boundary integral equations in the problem of diffraction of a monochromatic electromagnetic wave by a system of perfectly conducting and piecewise homogeneous dielectric objects. (English. Russian original) Zbl 1451.78024

Differ. Equ. 56, No. 9, 1153-1166 (2020); translation from Differ. Uravn. 56, No. 9, 1187-1200 (2020).
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Discreteness of the leaky wave spectrum of an open inhomogeneous metal-dielectric circular-section waveguide. (English. Russian original) Zbl 1448.35495

Differ. Equ. 56, No. 8, 1072-1080 (2020); translation from Differ. Uravn. 56, No. 8, 1095-1102 (2020).
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Solvability of the integro-differential equation in the problem of wave diffraction on a junction of rectangular waveguides. (English. Russian original) Zbl 1448.35497

Differ. Equ. 56, No. 8, 1041-1049 (2020); translation from Differ. Uravn. 56, No. 8, 1065-1072 (2020).
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Mathematical models of equilibrium configurations of plasma surrounding current-carrying conductors. (English. Russian original) Zbl 1447.76044

Differ. Equ. 56, No. 7, 872-881 (2020); translation from Differ. Uravn. 56, No. 7, 901-909 (2020).
MSC:  76X05 76E25 78A37
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Numerical methods for a nonstationary 3D singular integral equation of electrodynamics. (English. Russian original) Zbl 1431.78011

Differ. Equ. 55, No. 9, 1250-1257 (2019); translation from Differ. Uravn. 55, No. 9, 1293-1300 (2019).
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Existence of an infinite spectrum of damped leaky TE waves in an open inhomogeneous cylindrical metal-dielectric waveguide. (English. Russian original) Zbl 1427.78012

Differ. Equ. 55, No. 9, 1125-1133 (2019); translation from Differ. Uravn. 55, No. 9, 1171-1178 (2019).
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Boundary value problems of shielding magnetic fields by cylindrical multilayered film screens with nonlinear properties of the layers. (English. Russian original) Zbl 1427.78026

Differ. Equ. 55, No. 7, 963-975 (2019); translation from Differ. Uravn. 55, No. 7, 996-1008 (2019).
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Variational statement of the Schrödinger equation with a nonstationary nonlinearity and its integrals of motion. (English. Russian original) Zbl 1420.35277

Differ. Equ. 54, No. 10, 1394-1398 (2018); translation from Differ. Uravn. 54, No. 10, 1420-1424 (2018).
MSC:  35Q41 78A60 35A15
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Discretization methods for three-dimensional singular integral equations of electromagnetism. (English. Russian original) Zbl 1407.65299

Differ. Equ. 54, No. 9, 1225-1235 (2018); translation from Differ. Uravn. 54, No. 9, 1251-1261 (2018).
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Method of integral equations for the three-dimensional problem of wave reflection from an irregular surface. (English. Russian original) Zbl 1406.78026

Differ. Equ. 54, No. 9, 1191-1201 (2018); translation from Differ. Uravn. 54, No. 9, 1218-1227 (2018).
MSC:  78M34 78A45 35J05 45B05 45E99 65R20 78M25
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Operator function method in the problem of normal waves in an inhomogeneous waveguide. (English. Russian original) Zbl 1414.78010

Differ. Equ. 54, No. 9, 1168-1179 (2018); translation from Differ. Uravn. 54, No. 9, 1196-1206 (2018).
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Theoretical analysis of the magnetic cloaking problem based on an optimization method. (English. Russian original) Zbl 1406.49036

Differ. Equ. 54, No. 9, 1125-1136 (2018); translation from Differ. Uravn. 54, No. 9, 1155-1166 (2018).
MSC:  49N45 78A25
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On the existence of infinitely many eigenvalues in a nonlinear Sturm-Liouville problem arising in the theory of waveguides. (English. Russian original) Zbl 1384.78007

Differ. Equ. 53, No. 11, 1419-1427 (2017); translation from Differ. Uravn. 53, No. 11, 1453-1460 (2017).
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Numerical method for an integral-algebraic system. (English. Russian original) Zbl 1387.78013

Differ. Equ. 53, No. 10, 1364-1371 (2017); translation from Differ. Uravn. 53, No. 10, 1397-1404 (2017).
MSC:  78M25 78A55 45E05 65R20 65D30
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Discreteness of the spectrum in the problem on normal waves in an open inhomogeneous waveguide. (English. Russian original) Zbl 1384.78008

Differ. Equ. 53, No. 10, 1262-1273 (2017); translation from Differ. Uravn. 53, No. 10, 1298-1308 (2017).
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Analysis and solution method for problems of electromagnetic wave scattering on dielectric and perfectly conducting structures. (English. Russian original) Zbl 1384.78006

Differ. Equ. 53, No. 9, 1165-1173 (2017); translation from Differ. Uravn. 53, No. 9, 1200-1208 (2017).
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Integral equations in a diffraction problem on a locally inhomogeneous medium interface. (English. Russian original) Zbl 1359.35061

Differ. Equ. 52, No. 9, 1241-1245 (2016); translation from Differ. Uravn. 52, No. 9, 1284-1288 (2016).
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On the Fredholm property of the electric field equation in the vector diffraction problem for a partially screened solid. (English. Russian original) Zbl 1366.78016

Differ. Equ. 52, No. 9, 1199-1208 (2016); translation from Differ. Uravn. 52, No. 9, 1242-1251 (2016).
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3D Fredholm integral equations for scattering by dielectric structures. (English. Russian original) Zbl 1366.78015

Differ. Equ. 52, No. 9, 1178-1187 (2016); translation from Differ. Uravn. 52, No. 9, 1221-1230 (2016).
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Solution of an integro-differential equation describing the electromagnetic field distribution in a magnetic compressor. (English. Russian original) Zbl 1352.78016

Differ. Equ. 52, No. 7, 887-896 (2016); translation from Differ. Uravn. 52, No. 2, 927-936 (2016).
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Stable sequential Lagrange principles in the inverse final observation problem for the system of Maxwell equations in the quasistationary magnetic approximation. (English. Russian original) Zbl 1360.35263

Differ. Equ. 52, No. 5, 587-603 (2016); translation from Differ. Uravn. 52, No. 5, 608-624 (2016).
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Analysis and optimization in problems of cloaking of material bodies for the Maxwell equations. (English. Russian original) Zbl 1356.35236

Differ. Equ. 52, No. 3, 361-372 (2016); translation from Differ. Uravn. 52, No. 3, 366-377 (2016).
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Volume singular integral equations for transparent structures over an ideally conducting surface. (English. Russian original) Zbl 1336.78006

Differ. Equ. 51, No. 9, 1219-1224 (2015); translation from Differ. Uravn. 51, No. 9, 1227-1233 (2015).
MSC:  78A40 45E05 65R20
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Integral equations for the problem on the diffraction of a plane wave on the interface between two half-spaces with a local inhomogeneity of the interface. (English. Russian original) Zbl 1341.78018

Differ. Equ. 51, No. 9, 1211-1218 (2015); translation from Differ. Uravn. 51, No. 9, 1220-1226 (2015).
MSC:  78A45 45B05 35J05
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Method of hypersingular integral equations in a three-dimensional problem of diffraction of electromagnetic waves on a piecewise homogeneous dielectric body. (English. Russian original) Zbl 1341.78020

Differ. Equ. 51, No. 9, 1197-1210 (2015); translation from Differ. Uravn. 51, No. 9, 1206-1219 (2015).
MSC:  78A45 45E05 65R20 78M25 65D30
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Numerical solution of 3D problems of electromagnetic wave diffraction on a system of ideally conducting surfaces by the method of hypersingular integral equations. (English. Russian original) Zbl 1308.78011

Differ. Equ. 50, No. 9, 1240-1251 (2014); translation from Differ. Uravn. 50, No. 9, 1253-1263 (2014).
MSC:  78A45 78M25 45E05 65N35
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Volume singular integral equations for problems of scattering on three-dimensional dielectric structures. (English. Russian original) Zbl 1317.78006

Differ. Equ. 50, No. 9, 1201-1216 (2014); translation from Differ. Uravn. 50, No. 9, 1215-1230 (2014).
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Method of integral equations in the spectral domain for the analysis of plane defects of a substrate. (English. Russian original) Zbl 1315.78008

Differ. Equ. 50, No. 9, 1173-1181 (2014); translation from Differ. Uravn. 50, No. 9, 1187-1195 (2014).
MSC:  78A45 78M25 45E10 45K05 65R20
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Justification of an integro-functional method for the analysis of plasmonic structures. (English. Russian original) Zbl 1291.78037

Differ. Equ. 49, No. 9, 1126-1133 (2013); translation from Differ. Uravn. 49, No. 9, 1163-1169 (2013).
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Asymptotic behavior of the solution of a system of nonlinear integro-differential equations. (English. Russian original) Zbl 1243.45012

Differ. Equ. 48, No. 1, 72-80 (2012); translation from Differ. Uravn. 48, No. 1, 70-78 (2012).
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Justification of integral representations for fields in a diffraction problem on a cluster of particles in a plane-layered medium. (English. Russian original) Zbl 1235.78014

Differ. Equ. 47, No. 9, 1297-1306 (2011); translation from Differ. Uravn. 47, No. 9, 1284-1293 (2011).
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Justification of an integro-functional method for diffraction problems in the presence of a half-space. (English. Russian original) Zbl 1162.65058

Differ. Equ. 44, No. 9, 1281-1288 (2008); translation from Differ. Uravn. 44, No. 9, 1223-1239 (2008).
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Problems of excitation and diffraction of waves on a bounded domain with a conical point. (English. Russian original) Zbl 1179.78062

Differ. Equ. 43, No. 9, 1277-1286 (2007); translation from Differ. Uravn. 43, No. 9, 1244-1254 (2007).
MSC:  78A45 35J05 35Q60
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Generalized functions on Hilbert spaces, singular integral equations, and problems of aerodynamics and electrodynamics. (English. Russian original) Zbl 1175.46031

Differ. Equ. 43, No. 6, 862-872 (2007); translation from Differ. Uravn. 43, No. 6, 841-851 (2007).
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On the stabilization of solutions of an initial-boundary value problem for a nonlinear integro-differential equation. (English. Russian original) Zbl 1136.78018

Differ. Equ. 43, No. 6, 854-861 (2007); translation from Differ. Uravn. 43, No. 6, 833-840 (2007).
MSC:  78M35 45M05 78A25
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On the efficiency of some difference schemes for problems of nonlinear interaction of optical radiation with a semiconductor. (English. Russian original) Zbl 1138.82032

Differ. Equ. 42, No. 8, 1189-1198 (2006); translation from Differ. Uravn. 42, No. 8, 1123-1131 (2006).
MSC:  82D37 65M06 78A60
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Models of radiation scattering by crystalline plates on the basis of the method of integral representations for fields. (English. Russian original) Zbl 1123.78007

Differ. Equ. 41, No. 9, 1333-1342 (2005); translation from Differ. Uravn. 41, No. 9, 1261-1269 (2005).
MSC:  78A45
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A generalized overrelaxation method for solving singular volume integral equations in low-frequency scattering problems. (English. Russian original) Zbl 1127.78006

Differ. Equ. 41, No. 9, 1262-1266 (2005); translation from Differ. Uravn. 41, No. 9, 1198-1202 (2005).
MSC:  78A45 65R20 45B05
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Existence and uniqueness of a solution of a singular volume integral equation in a diffraction problem. (English. Russian original) Zbl 1130.45002

Differ. Equ. 41, No. 9, 1253-1261 (2005); translation from Differ. Uravn. 41, No. 9, 1190-1197 (2005).
MSC:  45E10 65R20 78A45
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Numerical solution of an integro-differential equation for a sheet current. (English. Russian original) Zbl 1104.65126

Differ. Equ. 41, No. 7, 1019-1024 (2005); translation from Differ. Uravn. 41, No. 7, 970-974 (2005).
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Conservative difference schemes for some problems of femtosecond nonlinear optics. (English. Russian original) Zbl 1103.78005

Differ. Equ. 41, No. 7, 953-962 (2005); translation from Differ. Uravn. 41, No. 7, 908-917 (2005).
MSC:  78M20 65M06 78A60
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Hypersingular integral equations and the theory of wire antennas. (English. Russian original) Zbl 1092.78010

Differ. Equ. 41, No. 1, 126-145 (2005); translation from Differ. Uravn. 41, No. 1, 121-137 (2005).
MSC:  78A50 45E99
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Approximation to the solution of the Cauchy problem for a smoothed Schrödinger-Poisson equation in a magnetic field. (English. Russian original) Zbl 1085.78001

Differ. Equ. 41, No. 1, 121-125 (2005); translation from Differ. Uravn. 41, No. 1, 116-120 (2005).
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A mathematical erythrocyte model based on weak solutions of integral equations. (English. Russian original) Zbl 1079.92019

Differ. Equ. 40, No. 9, 1233-1243 (2004); translation from Differ. Uravn. 40, No. 9, 1166-1175 (2004).
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Investigation of scattering problems in complicated electromagnetic structures on the basis of integral equations. (English. Russian original) Zbl 1082.78005

Differ. Equ. 39, No. 9, 1364-1366 (2003); translation from Differ. Uravn. 39, No. 9, 1290-1292 (2003).
MSC:  78A45 35Q60 45F15
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Analysis of light scattering by rough particles on the basis of integral representations of fields. (English. Russian original) Zbl 1078.78007

Differ. Equ. 39, No. 9, 1308-1315 (2003); translation from Differ. Uravn. 39, No. 9, 1240-1246 (2003).
MSC:  78A45
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Justification of a numerical method for solving systems of singular integral equations in diffraction grating problems. (English. Russian original) Zbl 1070.65125

Differ. Equ. 39, No. 9, 1295-1307 (2003); translation from Differ. Uravn. 39, No. 9, 1229-1239 (2003).
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Paired sum equations and singular integral equations in electromagnetic scattering by open conical structures. (English. Russian original) Zbl 1156.78308

Differ. Equ. 39, No. 9, 1271-1276 (2003); translation from Differ. Uravn. 39, No. 9, 1209-1213 (2003).
MSC:  78A45 78M15 45E05
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The paraxial approximation to the wave equation in curvilinear coordinates for numerical simulation of optical beam diffraction. (English. Russian original) Zbl 1170.78303

Differ. Equ. 39, No. 7, 954-961 (2003); translation from Differ. Uravn. 39, No. 7, 904-911 (2003).
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Strict and approximate models of a scratch on the basis of the method of integral equations. (English. Russian original) Zbl 1020.78002

Differ. Equ. 37, No. 10, 1459-1467 (2001); translation from Differ. Uravn. 37, No. 10, 1386-1394 (2001).
MSC:  78A45 78A10 65R10
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An analysis of integral equations arising in problems of electromagnetic scattering by transparent 3D structures. (English. Russian original) Zbl 1016.78009

Differ. Equ. 37, No. 10, 1427-1434 (2001); translation from Differ. Uravn. 37, No. 10, 1357-1363 (2001).
MSC:  78A45 35Q60 45M99
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Specific features of the numerical solution of problems for a generalized nonlinear Schrödinger equation. (English. Russian original) Zbl 0999.65107

Differ. Equ. 37, No. 7, 957-960 (2001); translation from Differ. Uravn. 37, No. 7, 913-916 (2001).
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