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Found 107 Documents (Results 1–100)

Explicit-implicit schemes for calculating the dynamics of elastoviscoplastic media with a short relaxation time. (English. Russian original) Zbl 07734401

Differ. Equ. 59, No. 6, 822-832 (2023); translation from Differ. Uravn. 59, No. 6, 803-813 (2023).
MSC:  65-XX 74-XX
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On the nonclassical asymptotics of the eigenvalues of a boundary value problem for a second-order differential-operator equation. (English. English summary) Zbl 1516.34122

Differ. Equ. 58, No. 12, 1571-1578 (2022); translation from Differ. Uravn. 58, No. 12, 1587-1595 (2022).
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Mixed problem for systems of hyperbolic equations with nonlinear boundary dissipation and a nonlinear source of variable growth order. (English. Russian original) Zbl 1498.35353

Differ. Equ. 58, No. 8, 1028-1042 (2022); translation from Differ. Uravn. 58, No. 8, 1039-1052 (2022).
MSC:  35L50 35L60 35B44
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Estimates of the accuracy of the projection method with a fractional smoothness stabilizer in the problem of reconstructing the wavefront based on its slopes. (English. Russian original) Zbl 07596445

Differ. Equ. 58, No. 7, 985-998 (2022); translation from Differ. Uravn. 58, No. 7, 995-1008 (2022).
MSC:  65-XX 76-XX
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Strong-norm convergence of the errors of the projective-difference method with the Crank-Nicolson scheme in time for a parabolic equation with a periodic condition on the solution. (English. Russian original) Zbl 07581364

Differ. Equ. 58, No. 5, 691-697 (2022); translation from Differ. Uravn. 58, No. 5, 696-702 (2022).
MSC:  65Mxx 76-XX
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On the properties of a semigroup of operators generated by a Volterra integro-differential equation arising in the theory of viscoelasticity. (English. Russian original) Zbl 1496.45011

Differ. Equ. 58, No. 5, 662-679 (2022); translation from Differ. Uravn. 58, No. 5, 669-685 (2022).
MSC:  45K05 45D05 74K10
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Well-posed solvability of integro-differential equations in spaces of vector functions holomorphic in a sector. (English. Russian original) Zbl 1489.45013

Differ. Equ. 58, No. 2, 227-241 (2022); translation from Differ. Uravn. 58, No. 2, 223-237 (2022).
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Models of elastic joint of a plate with rods based on Sobolev point conditions and self-adjoint extensions of differential operators. (English. Russian original) Zbl 1467.74060

Differ. Equ. 57, No. 5, 683-699 (2021); translation from Differ. Uravn. 57, No. 5, 700-716 (2021).
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Analysis of boundary value and extremum problems for a nonlinear reaction-diffusion-convection equation. (English. Russian original) Zbl 1467.35154

Differ. Equ. 57, No. 5, 615-629 (2021); translation from Differ. Uravn. 57, No. 5, 635-648 (2021).
MSC:  35J62 35K57 35A01
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On Volterra integro-differential equations with kernels representable by Stieltjes integrals. (English. Russian original) Zbl 1465.45017

Differ. Equ. 57, No. 4, 517-532 (2021); translation from Differ. Uravn. 57, No. 4, 536-551 (2021).
MSC:  45N05 45D05
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Stability of solutions of second-order differential-operator equations and of their difference approximations. (English. Russian original) Zbl 1446.35080

Differ. Equ. 56, No. 7, 923-934 (2020); translation from Differ. Uravn. 56, No. 7, 948-959 (2020).
MSC:  35L90 35L71 35A35
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Asymptotics of the solution of a singular optimal distributed control problem with essential constraints in a convex domain. (English. Russian original) Zbl 1453.49010

Differ. Equ. 56, No. 2, 251-263 (2020); translation from Differ. Uravn. 56, No. 2, 256-268 (2020).
MSC:  49K20 35J99
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Problem of boundary control by an elastic force on one end with the other end fixed for the telegraph equation with a variable coefficient. (English. Russian original) Zbl 1440.35203

Differ. Equ. 56, No. 2, 221-237 (2020); translation from Differ. Uravn. 56, No. 2, 226-242 (2020).
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Control and observation problems in Banach spaces. Optimal control and maximum principle. Applications to ordinary differential equations in \(\mathbb{R}^n\). (English. Russian original) Zbl 1440.49030

Differ. Equ. 55, No. 12, 1630-1640 (2019); translation from Differ. Uravn. 55, No. 12, 1683-1692 (2019).
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Well-posed solvability and the representation of solutions of integro-differential equations arising in viscoelasticity. (English. Russian original) Zbl 1427.45005

Differ. Equ. 55, No. 4, 561-574 (2019); translation from Differ. Uravn. 55, No. 4, 574-587 (2019).
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Homogenization of a boundary value problem for the \(n\)-Laplace operator on a \(n\)-dimensional domain with rapidly alternating boundary condition type: the critical case. (English. Russian original) Zbl 1421.35019

Differ. Equ. 55, No. 4, 523-531 (2019); translation from Differ. Uravn. 55, No. 4, 537-545 (2019).
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Numerical method for damping string vibrations with unknown initial state in the class of weak generalized solutions. (English. Russian original) Zbl 1446.93034

Differ. Equ. 54, No. 11, 1425-1443 (2018); translation from Differ. Uravn. 54, No. 11, 1451-1469 (2018).
MSC:  93C15 74H45
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Homogenization method in the problem of long wave propagation from a localized source in a basin over an uneven bottom. (English. Russian original) Zbl 1418.76043

Differ. Equ. 54, No. 8, 1057-1072 (2018); translation from Differ. Uravn. 54, No. 8, 1075-1089 (2018).
MSC:  76M50 76B15 76M45
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Convergence of a projection-difference method for the approximate solution of a parabolic equation with a weighted integral condition on the solution. (English. Russian original) Zbl 1405.65125

Differ. Equ. 54, No. 7, 957-970 (2018); translation from Differ. Uravn. 54, No. 7, 975-987 (2018).
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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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Optimal control problem for a quasilinear elliptic equation with controls in coefficients. (English. Russian original) Zbl 1379.49004

Differ. Equ. 53, No. 8, 1082-1092 (2017); translation from Differ. Uravn. 53, No. 8, 1110-1120 (2017).
MSC:  49J20 49K20 35J62
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Optimal control for the coefficients of quasilinear parabolic equation with a goal functional on domain boundary. (English. Russian original) Zbl 1437.49035

Differ. Equ. 53, No. 1, 122-132 (2017); translation from Differ. Uravn. 53, No. 1, 124-134 (2017).
MSC:  49K20 49K40
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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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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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Existence and uniqueness of solutions of hyperbolic equations in divergence form with various boundary conditions on various parts of the boundary. (English. Russian original) Zbl 1357.35209

Differ. Equ. 52, No. 8, 1011-1022 (2016); translation from Differ. Uravn. 52, No. 8, 1050-1061 (2016).
MSC:  35L20 35L71
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One-sided contact problems with friction arising along the normal. (English. Russian original) Zbl 1353.35277

Differ. Equ. 52, No. 5, 568-586 (2016); translation from Differ. Uravn. 52, No. 5, 589-607 (2016).
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Well-posedness of a problem with initial conditions for hyperbolic differential-difference equations with shifts in the time argument. (English. Russian original) Zbl 1347.35141

Differ. Equ. 52, No. 3, 346-360 (2016); translation from Differ. Uravn. 52, No. 3, 352-365 (2016).
MSC:  35L15 35R10 35A02
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Boundary value problems for a weakly loaded operator of a second-order hyperbolic equation in a cylindrical domain. (English. Russian original) Zbl 1338.35281

Differ. Equ. 51, No. 12, 1595-1606 (2015); translation from Differ. Uravn. 51, No. 12, 1618-1628 (2015).
MSC:  35L20
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Method of integral equations in a scalar diffraction problem on a partially screened inhomogeneous body. (English. Russian original) Zbl 1331.65166

Differ. Equ. 51, No. 9, 1225-1235 (2015); translation from Differ. Uravn. 51, No. 9, 1234-1244 (2015).
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On the existence of solutions of a nonlinear boundary value problem for the system of partial differential equations of the theory of Timoshenko type shallow shells with free edges. (English. Russian original) Zbl 1319.35260

Differ. Equ. 51, No. 3, 376-390 (2015); translation from Differ. Uravn. 51, No. 3, 373-386 (2015).
MSC:  35Q74 74K25 74B20
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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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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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Generalized solvability of parabolic integro-differential equations. (English. Russian original) Zbl 1300.45003

Differ. Equ. 50, No. 1, 98-109 (2014); translation from Differ. Uravn. 50, No. 1, 98-109 (2014).
MSC:  45K05 47G10
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Optimal control of solutions of the Showalter-Sidorov-Dirichlet problem for the Boussinesq-Love equation. (English. Russian original) Zbl 1297.49008

Differ. Equ. 49, No. 11, 1356-1365 (2013); translation from Differ. Uravn. 49, No. 11, 1390-1398 (2013).
MSC:  49J20 49K20
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Boundary control problem for the one-dimensional Klein-Gordon-Fock equation with a variable coefficient: the case of control by displacements at two endpoints. (English. Russian original) Zbl 1278.93047

Differ. Equ. 49, No. 8, 1006-1017 (2013); translation from Differ. Uravn. 49, No. 8, 1036-1046 (2013).
MSC:  93B05 93C20 81Q05
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Boundary control problem for the one-dimensional Klein-Gordon-Fock equation with a variable coefficient. The case of control by displacement at one endpoint with the other endpoint being fixed. (English. Russian original) Zbl 1273.93024

Differ. Equ. 49, No. 6, 731-743 (2013); translation from Differ. Uravn. 49, No. 6, 759-771 (2013).
MSC:  93B05 93C20 35L20
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On the asymptotic behavior of solutions of integro-differential equations in a Hilbert space. (English. Russian original) Zbl 1279.45014

Differ. Equ. 49, No. 6, 718-730 (2013); translation from Differ. Uravn. 49, No. 6, 746-758 (2013).
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Solvability of the observation data assimilation problem in the three-dimensional model of ocean dynamics. (English. Russian original) Zbl 1181.86004

Differ. Equ. 43, No. 8, 1088-1100 (2007); translation from Differ. Uravn. 43, No. 8, 1064-1075 (2007).
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Homogenization of a boundary value problem with mixed type of boundary conditions in a thick junction. (English. Russian original) Zbl 1140.35340

Differ. Equ. 43, No. 5, 696-703 (2007); translation from Differ. Uravn. 43, No. 5, 677-684 (2007).
MSC:  35B27 35M10 35C20
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On the smoothness of the solution of the two-endpoint boundary control problem for the string equation on an arbitrary time interval. (English. Russian original) Zbl 1285.93044

Differ. Equ. 42, No. 8, 1209-1212 (2006); translation from Differ. Uravn. 42, No. 8, 1140-1142 (2006).
MSC:  93C20 35L05 93B05
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Minimization of the \(L_{p}\)-norm with arbitrary \(p \geq 1\) of the derivative of a boundary displacement control on an arbitrary sufficiently large time interval t. (English. Russian original) Zbl 1131.49028

Differ. Equ. 42, No. 11, 1633-1644 (2006); translation from Differ. Uravn. 42, No. 11, 1558-1570 (2006).
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Weak solutions of the Cauchy problem in the set of Radon probability measures. (English. Russian original) Zbl 1043.35095

Differ. Equ. 36, No. 11, 1676-1684 (2000); translation from Differ. Uravn. 36, No. 11, 1529-1537 (2000).
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Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation. (English. Russian original) Zbl 1005.93023

Differ. Equ. 36, No. 11, 1659-1675 (2000); translation from Differ. Uravn. 36, No. 11, 1513-1528 (2000).
MSC:  93C20 93B03 35L05
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The wave equation with a boundary control at the left endpoint and with free right endpoint and the complete vibration damping problem. (English. Russian original) Zbl 0991.93055

Differ. Equ. 36, No. 6, 894-903 (2000); translation from Differ. Uravn. 36, No. 6, 806-815 (2000).
MSC:  93C20 35L05 35B37 93B05 93B03 93D15
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