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Found 146 Documents (Results 1–100)

Cauchy problem for the nonlinear Liouville equation in the class of periodic infinite-gap functions. (English. Russian original) Zbl 07786630

Differ. Equ. 59, No. 10, 1413-1426 (2023); translation from Differ. Uravn. 59, No. 10, 1412-1424 (2023).
MSC:  35G25 35Q40
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Two equivalent finite volume schemes for Stefan problem on boundary-fitted grids: front-tracking and front-fixing techniques. (English. Russian original) Zbl 1496.65136

Differ. Equ. 57, No. 7, 876-890 (2021); translation from Differ. Uravn. 57, No. 7, 907-921 (2021).
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Numerical solution methods for a nonlinear operator equation arising in an inverse coefficient problem. (English. Russian original) Zbl 1496.65147

Differ. Equ. 57, No. 7, 868-875 (2021); translation from Differ. Uravn. 57, No. 7, 900-906 (2021).
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Boundary value problems for a moisture transfer equation with the Caputo fractional derivative and the Bessel operator. (English. Russian original) Zbl 1454.35410

Differ. Equ. 56, No. 3, 340-353 (2020); translation from Differ. Uravn. 56, No. 3, 353-365 (2020).
MSC:  35R11 35A35 65M06
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Efficient numerical integration methods for the Cauchy problem for stiff systems of ordinary differential equations. (English. Russian original) Zbl 1433.65120

Differ. Equ. 55, No. 7, 871-883 (2019); translation from Differ. Uravn. 55, No. 7, 907-918 (2019).
MSC:  65L04 65L05 65L06
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Cauchy problem and the second mixed problem for parabolic equations with a Dirac potential concentrated at finitely many given points. (English. Russian original) Zbl 1422.35101

Differ. Equ. 55, No. 3, 348-352 (2019); translation from Differ. Uravn. 55, No. 3, 356-360 (2019).
MSC:  35K10 35K20
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Sobolev orthogonal polynomials associated with Chebyshev polynomials of the first kind and the Cauchy problem for ordinary differential equations. (English. Russian original) Zbl 1421.34015

Differ. Equ. 54, No. 12, 1602-1619 (2018); translation from Differ. Uravn. 54, No. 12, 1645-1662 (2018).
MSC:  34A45 34A12 33C47
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Numerical solution of inverse problems for a hyperbolic equation with a small parameter multiplying the highest derivative. (English. Russian original) Zbl 1406.65081

Differ. Equ. 54, No. 7, 900-910 (2018); translation from Differ. Uravn. 54, No. 7, 919-928 (2018).
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Criterion for the solvability of the weighted Cauchy problem for an abstract Euler-Poisson-Darboux equation. (English. Russian original) Zbl 1403.34043

Differ. Equ. 54, No. 5, 622-632 (2018); translation from Differ. Uravn. 54, No. 5, 627-637 (2018).
MSC:  34G10 34A12 47D06
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On one method for studying the Cauchy problem for a singularly perturbed nonlinear first-order differential operator. (English. Russian original) Zbl 1398.34029

Differ. Equ. 54, No. 2, 152-164 (2018); translation from Differ. Uravn. 54, No. 2, 155-167 (2018).
MSC:  34A12 34E15 47H09
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On global existence of solutions of initial boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal Neumann boundary conditions. (English. Russian original) Zbl 1402.35156

Differ. Equ. 54, No. 1, 86-105 (2018); translation from Differ. Uravn. 54, No. 1, 88-107 (2018).
MSC:  35K61 35K58 35K51
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Solution of the Bitsadze-Samarskii problem for a parabolic system in a semibounded domain. (English. Russian original) Zbl 1400.35154

Differ. Equ. 53, No. 10, 1294-1302 (2017); translation from Differ. Uravn. 53, No. 10, 1327-1335 (2017).
MSC:  35K20 35A01 35B65
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Estimates for the difference between exact and approximate solutions of parabolic equations on the basis of Poincaré inequalities for traces of functions on the boundary. (English. Russian original) Zbl 1361.65068

Differ. Equ. 52, No. 10, 1355-1365 (2016); translation from Differ. Uravn. 52, No. 10, 1407-1417 (2016).
MSC:  65M15 35K20
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On the numerical solution of a nonlocal boundary value problem for a degenerating pseudoparabolic equation. (English. Russian original) Zbl 1364.65158

Differ. Equ. 52, No. 10, 1341-1354 (2016); translation from Differ. Uravn. 52, No. 10, 1393-1406 (2016).
MSC:  65M06 65M12 35K70
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Well-posed solvability of Volterra integro-differential equations in Hilbert space. (English. Russian original) Zbl 1365.45009

Differ. Equ. 52, No. 9, 1123-1132 (2016); translation from Differ. Uravn. 52, No. 9, 1168-1177 (2016).
MSC:  45N05 45K05
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Finite-difference method for the stabilization of the solution of the transport equation for an unstable difference scheme. (English. Russian original) Zbl 1359.65159

Differ. Equ. 52, No. 7, 951-961 (2016); translation from Differ. Uravn. 52, No. 2, 990-1000 (2016).
MSC:  65M06 65M12 35L04
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On the solvability of a boundary value problem for nonlinear wave equations in angular domains. (English. Russian original) Zbl 1350.35124

Differ. Equ. 52, No. 5, 644-666 (2016); translation from Differ. Uravn. 52, No. 5, 665-686 (2016).
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Qualitative analysis of dynamics in Kolmogorov’s problem on a flow of a viscous incompressible fluid. (English. Russian original) Zbl 1334.35228

Differ. Equ. 51, No. 10, 1292-1305 (2015); translation from Differ. Uravn. 51, No. 10, 1302-1314 (2015).
MSC:  35Q35 65M60 76D05
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Characteristic boundary value problem for a fourth-order equation with a pseudoparabolic operator and with shifted arguments of the unknown function. (English. Russian original) Zbl 1332.35150

Differ. Equ. 51, No. 3, 426-429 (2015); translation from Differ. Uravn. 51, No. 3, 421-424 (2015).
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Projection-difference method with the Crank-Nicolson scheme in time for the approximate solution of a parabolic equation with an integral condition for the solution. (English. Russian original) Zbl 1327.65162

Differ. Equ. 51, No. 1, 116-126 (2015); translation from Differ. Uravn. 51, No. 1, 116-126 (2015).
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Solution to classes of inverse coefficient problems and problems with nonlocal conditions for parabolic equations. (English. Russian original) Zbl 1348.65129

Differ. Equ. 51, No. 1, 83-93 (2015); translation from Differ. Uravn. 51, No. 1, 84-94 (2015).
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Cauchy problem for vector-order degenerate parabolic systems of the Kolmogorov type with generalized initial data. (English. Russian original) Zbl 1314.35066

Differ. Equ. 50, No. 12, 1600-1608 (2014); translation from Differ. Uravn. 50, No. 12, 1598-1606 (2014).
MSC:  35K65 35K45
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Well-posed solvability of functional-differential equations with unbounded operator coefficients. (English. Russian original) Zbl 1310.34100

Differ. Equ. 50, No. 9, 1161-1172 (2014); translation from Differ. Uravn. 50, No. 9, 1175-1186 (2014).
MSC:  34K30 34K05
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Parameter-uniform error estimate for the implicit four-point scheme for a singularly perturbed heat equation with corner singularities. (English. Russian original) Zbl 1308.65153

Differ. Equ. 50, No. 7, 913-926 (2014); translation from Differ. Uravn. 50, No. 7, 923-936 (2014).
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Cauchy problem for singular evolution equations with pseudo-Bessel operators of infinite order. (English. Russian original) Zbl 1301.35229

Differ. Equ. 50, No. 6, 777-791 (2014); translation from Differ. Uravn. 50, No. 6, 780-794 (2014).
MSC:  35S10 47G30 47J35
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Problems with normal derivatives in the boundary conditions for a hyperbolic equation with deviating arguments of the unknown function. (English. Russian original) Zbl 1295.35305

Differ. Equ. 50, No. 2, 226-231 (2014); translation from Differ. Uravn. 50, No. 2, 223-228 (2014).
MSC:  35L20
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Sufficient tests for the existence and uniqueness of a solution of the Cauchy problem for a differential equation with a hysteresis nonlinearity. (English. Russian original) Zbl 1298.34077

Differ. Equ. 49, No. 12, 1469-1475 (2013); translation from Differ. Uravn. 49, No. 12, 1515-1521 (2013).
MSC:  34C55 34A12
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On the role of conservation laws in the problem on the occurrence of unstable solutions for quasilinear parabolic equations and their approximations. (English. Russian original) Zbl 1293.65114

Differ. Equ. 49, No. 7, 883-894 (2013); translation from Differ. Uravn. 49, No. 7, 911-922 (2013).
MSC:  65M06 35K59
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On the existence and uniqueness of a generalized solution of the mixed problem for the wave equation with the second and third boundary conditions. (English. Russian original) Zbl 1277.35234

Differ. Equ. 49, No. 5, 645-653 (2013); translation from Differ. Uravn. 49, No. 5, 672-676 (2013).
MSC:  35L20 35D30 35C15
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Method of hybrid integral transforms for analyzing direct and inverse problems for a class of equations with a pseudodifferential operator. (English. Russian original) Zbl 1303.35123

Differ. Equ. 49, No. 4, 468-474 (2013); translation from Differ. Uravn. 49, No. 4, 487-493 (2013).
MSC:  35S05 35R30 35S11 35S30
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Optimal boundary control of heat transfer in a one-dimensional material: a hyperbolic model. (English. Russian original) Zbl 1260.49037

Differ. Equ. 48, No. 9, 1236-1244 (2012); translation from Differ. Uravn. 48, No. 9, 1256-1264 (2012).
MSC:  49K20 35L04
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Stability and monotonicity of a conservative difference scheme for a multidimensional nonlinear scalar conservation law. (English. Russian original) Zbl 1261.65093

Differ. Equ. 48, No. 7, 982-989 (2012); translation from Differ. Uravn. 48, No. 7, 997-1004 (2012).
MSC:  65M12 65M06 35L65
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Generalized Cauchy problem with data on two and three surfaces for a quasilinear system with singularities in the coefficients multiplying the derivatives. (English. Russian original) Zbl 1251.35018

Differ. Equ. 48, No. 4, 538-551 (2012); translation from Differ. Uravn. 48, No. 4, 530-542 (2012).
MSC:  35F61 35C10
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Stability with respect to the input data and monotonicity of an implicit finite-difference scheme for a quasilinear parabolic equation. (English. Russian original) Zbl 1251.65127

Differ. Equ. 48, No. 2, 283-295 (2012); translation from Differ. Uravn. 48, No. 2, 274-285 (2012).
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On a nonlocal boundary value problem for a degenerating second-order hyperbolic equation with a spectral parameter. (English. Russian original) Zbl 1237.35104

Differ. Equ. 47, No. 10, 1468-1481 (2011); translation from Differ. Uravn. 47, No. 10, 1452-1465 (2011).
MSC:  35L20 35L80 35A02
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Linear second-order differential equations with degenerating coefficient of the second derivative. (English. Russian original) Zbl 1252.34012

Differ. Equ. 47, No. 10, 1397-1407 (2011); translation from Differ. Uravn. 47, No. 10, 1383-1393 (2011).
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On the stability of an operator-difference scheme of the type of hyperbolic-parabolic systems of differential equations. (English. Russian original) Zbl 1232.65127

Differ. Equ. 47, No. 8, 1139-1152 (2011); translation from Differ. Uravn. 47, No. 8, 1127-1139 (2011).
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Generalized solution of a one-dimensional quasilinear boundary value problem of the hydriding type with nonlinear boundary conditions and state evolution. (English. Russian original) Zbl 1232.65121

Differ. Equ. 47, No. 4, 581-589 (2011); translation from Differ. Uravn. 47, No. 4, 581-589 (2011).
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Optimal boundary force control at one end of a string for a given displacement mode at the other end. (English. Russian original) Zbl 1251.49005

Differ. Equ. 47, No. 7, 1029-1034 (2011); translation from Differ. Uravn. 47, No. 7, 1018-1023 (2011).
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Parametric optimization for a hyperbolic equation in divergence form with a pointwise state constraint. II. (English. Russian original) Zbl 1227.49005

Differ. Equ. 47, No. 5, 726-737 (2011); translation from Differ. Uravn. 47, No. 5, 726-737 (2011).
MSC:  49J20 35L20 49K40
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Estimates for the accuracy of the projection-difference method for an abstract hyperbolic-parabolic system like systems of thermoelasticity equations. (English. Russian original) Zbl 1206.65193

Differ. Equ. 46, No. 7, 998-1010 (2010); translation from Differ. Uravn. 46, No. 7, 990-1003 (2010).
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Galerkin method for a nonstationary equation with a monotone operator. (English. Russian original) Zbl 1214.65025

Differ. Equ. 46, No. 7, 962-972 (2010); translation from Differ. Uravn. 46, No. 7, 955-965 (2010).
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Perturbation of an abstract differential equation containing fractional Riemann-Liouville derivatives. (English. Russian original) Zbl 1214.34004

Differ. Equ. 46, No. 6, 867-881 (2010); translation from Differ. Uravn. 46, No. 6, 859-873 (2010).
MSC:  34A08 34G10 34A12
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Asymptotics of the solution of the main problem of the integral fire theory. (English. Russian original) Zbl 1202.80018

Differ. Equ. 46, No. 1, 24-29 (2010); translation from Differ. Uravn. 46, No. 1, 23-28 (2010).
MSC:  80A25 34E05 34A12
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Boundary control of heat transfer in a three-dimensional material: a hyperbolic model. (English. Russian original) Zbl 1192.35115

Differ. Equ. 45, No. 12, 1830-1834 (2009); translation from Differ. Uravn. 45, No. 12, 1794-1798 (2009).
MSC:  35L50 35Q93 80A20
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Optimal boundary control by an elastic force at one end and a displacement at the other end for an arbitrary sufficiently large time interval in the string vibration problem. (English. Russian original) Zbl 1172.49002

Differ. Equ. 45, No. 6, 878-888 (2009); translation from Differ. Uravn. 45, No. 6, 860-870 (2009).
MSC:  49J20 35L20 74H45
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Difference scheme for the Samarskii-Ionkin problem with a parameter. (English. Russian original) Zbl 1177.65123

Differ. Equ. 44, No. 7, 991-998 (2008); translation from Differ. Uravn. 44, No. 7, 963-969 (2008).
MSC:  65M06 65M12 35K05
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Error estimates for a projection-difference method for a linear differential-operator equation. (English. Russian original) Zbl 1177.65076

Differ. Equ. 44, No. 7, 970-979 (2008); translation from Differ. Uravn. 44, No. 7, 942-951 (2008).
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Projection-difference method for a linear operator-differential equation. (English. Russian original) Zbl 1176.65067

Differ. Equ. 43, No. 9, 1262-1270 (2007); translation from Differ. Uravn. 43, No. 9, 1230-1237 (2007).
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Spectral problem with spectral parameter in the boundary condition in the theory of the radial heat equation. (English. Russian original) Zbl 1162.35383

Differ. Equ. 43, No. 10, 1415-1419 (2007); translation from Differ. Uravn. 43, No. 10, 1382-1386 (2007).
MSC:  35K20 35P05
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Initial-boundary value problem for a difference-differential diffusion equation with fractional derivative and distributed delay. (English. Russian original) Zbl 1161.35056

Differ. Equ. 43, No. 10, 1396-1402 (2007); translation from Differ. Uravn. 43, No. 10, 1363-1368 (2007).
MSC:  35R10
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Multicomponent vector decomposition schemes for the solution of multidimensional problems of mathematical physics. (English. Russian original) Zbl 1126.65050

Differ. Equ. 42, No. 7, 941-953 (2006); translation from Differ. Uravn. 42, No. 7, 883-894 (2006).
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