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Found 516 Documents (Results 1–100)

On the representation of functions by an integral in the eigenfunctions of the Bessel operator. (English. Russian original) Zbl 0979.35031

Differ. Equations 35, No. 4, 480-489 (1999); translation from Differ. Uravn. 35, No. 4, 480-489 (1999).
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Estimates of solutions of the Cauchy problem with an arbitrary-order initial jump for linear singularity perturbed integro-differential equations. (English. Russian original) Zbl 0963.45504

Differ. Equations 35, No. 6, 825-834 (1999); translation from Differ. Uravn. 35, No. 6, 822-830 (1999).
MSC:  45J05
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On the condition number of the matrix of a linear algebraic system approximating a singular integral equation with a Cauchy kernel. (English. Russian original) Zbl 0979.65120

Differ. Equations 35, No. 9, 1293-1300 (1999); translation from Differ. Uravn. 35, No. 9, 1278-1285 (1999).
MSC:  65R20 45F15 65F35
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The method of integral equations in the third boundary value problem of diffraction on a bounded grating over a flat screen. (English. Russian original) Zbl 0995.78013

Differ. Equations 35, No. 9, 1169-1175 (1999); translation from Differ. Uravn. 35, No. 9, 1155-1161 (1999).
MSC:  78A45 45E05 45E10
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Linear integral equations of the second kind with bi-Carleman kernel in the space \(L^\infty\). (English. Russian original) Zbl 1026.45010

Differ. Equations 34, No. 9, 1212-1217 (1998); translation from Differ. Uravn. 34, No. 9, 1210-1215 (1998).
MSC:  45N05 47B07 45P05
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On the Noether theory and approximate solution of systems of Wiener-Hopf integro-differential equations of special form. (English. Russian original) Zbl 0957.65120

Differ. Equations 34, No. 7, 1000-1002 (1998); translation from Differ. Uravn. 34, No. 7, 996-998 (1998).
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Asymptotics of solutions of the generalized Kolmogorov-Petrovskij-Piskunov equation for large values of time. (English. Russian original) Zbl 1001.35025

Differ. Equations 34, No. 5, 669-682 (1998); translation from Differ. Uravn. 34, No. 5, 668-681 (1998).
MSC:  35F25 35B40 45K05
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The Galerkin method and the collocation method for solving singular integral equations on the real axis in the exceptional case. (English. Russian original) Zbl 0947.65139

Differ. Equations 33, No. 11, 1570-1573 (1997); translation from Differ. Uravn. 33, No. 11, 1563-1565 (1997).
MSC:  65R20 45E05
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A singularly perturbed integral equation with degenerate kernel. (English. Russian original) Zbl 0947.45004

Differ. Equations 33, No. 11, 1542-1546 (1997); translation from Differ. Uravn. 33, No. 11, 1537-1542 (1997).
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Superconvergence of the spline-collocation method for solving nonlinear two-dimensional weakly singular integral equations. (English. Russian original) Zbl 0928.65171

Differ. Equations 33, No. 9, 1268-1276 (1997); translation from Differ. Uravn. 33, No. 9, 1260-1267 (1997).
MSC:  65R20 45G05
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On an approximate solution of a nonlinear integral equation describing a permeable profile. (English. Russian original) Zbl 0928.65170

Differ. Equations 33, No. 9, 1249-1259 (1997); translation from Differ. Uravn. 33, No. 9, 1242-1252 (1997).
MSC:  65R20 45G05 76G25
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Numerical solution of supersingular integral equations containing additional terms with smooth kernels. (English. Russian original) Zbl 0928.65161

Differ. Equations 33, No. 9, 1239-1248 (1997); translation from Differ. Uravn. 33, No. 9, 1233-1241 (1997).
MSC:  65R20 45E05
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Numerical solution of boundary integral equations by reduction to a problem with a finite non-abelian symmetry groub. (English. Russian original) Zbl 0928.65163

Differ. Equations 33, No. 9, 1233-1238 (1997); translation from Differ. Uravn. 33, No. 9, 1227-1232 (1997).
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Solvability and approximate solution of infinite Wiener-Hopf systems with difference and sum indices. (English. Russian original) Zbl 0928.65168

Differ. Equations 33, No. 9, 1226-1232 (1997); translation from Differ. Uravn. 33, No. 9, 1220-1226 (1997).
MSC:  65R20 45F15 47B35
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Regularization of singularly perturbed integral equations with rapidly varying kernels and their asymptotic solutions. (English. Russian original) Zbl 0928.45003

Differ. Equations 33, No. 9, 1203-1215 (1997); translation from Differ. Uravn. 33, No. 9, 1199-1210 (1997).
MSC:  45F15 45M05 45L05
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Reducing linear one-dimensional differential and integro-differential equations to Volterra equations of the second kind. (English. Russian original) Zbl 0908.45005

Differ. Equations 33, No. 2, 278-280 (1997); translation from Differ. Uravn. 33, No. 2, 278-280 (1997).
MSC:  45J05 74H45 45D05
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Analytic continuation of solutions of integral equations and localization of singularities. (English. Russian original) Zbl 0897.45001

Differ. Equations 32, No. 11, 1541-1549 (1996); translation from Differ. Uravn. 32, No. 11, 1544-1553 (1996).
MSC:  45B05 30E20 30B40
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Justification of the discrete vortex method in the problem on the motion of a finite vortex sheet under analytic initial conditions. (English. Russian original) Zbl 0892.65085

Differ. Equations 32, No. 9, 1272-1279 (1996); translation from Differ. Uravn. 32, No. 9, 1272-1279 (1996).
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The method of mechanical quadratures for solving weakly singular intergral equations with discontinuous coefficients. (English. Russian original) Zbl 0892.65080

Differ. Equations 32, No. 9, 1259-1264 (1996); translation from Differ. Uravn. 32, No. 9, 1259-1264 (1996).
MSC:  65R20 45B05 45C05
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Integral convergence of approximate solutions of the Prandtl equation to the exact solution. (English. Russian original) Zbl 0892.65082

Differ. Equations 32, No. 9, 1237-1245 (1996); translation from Differ. Uravn. 32, No. 9, 1237-1245 (1996).
MSC:  65R20 76G25 45E10
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Fredholm theory and approximate solution of Wiener-Hopf integro-differential equations with kernels depending on the difference and the sum of the arguments. (English. Russian original) Zbl 0892.65084

Differ. Equations 32, No. 9, 1228-1236 (1996); translation from Differ. Uravn. 32, No. 9, 1227-1236 (1996).
MSC:  65R20 45J05 45E10
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Approximation of functions in generalized Hölder spaces and approximate solution of singular integral equations. (English. Russian original) Zbl 0892.65081

Differ. Equations 32, No. 9, 1223-1227 (1996); translation from Differ. Uravn. 32, No. 9, 1222-1226 (1996).
MSC:  65R20 45E05
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Solvability of an integral equation of fractional order in generalized Hölder classes. (English. Russian original) Zbl 0889.45006

Differ. Equations 32, No. 8, 1107-1114 (1996); translation from Differ. Uravn. 32, No. 8, 1102-1109 (1996).
MSC:  45G10 45P05 26A33
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The solution of a system of integro-functional equations for contact problems with nonlinear friction. (English. Russian original) Zbl 0889.45007

Differ. Equations 32, No. 8, 1097-1106 (1996); translation from Differ. Uravn. 32, No. 8, 1093-1101 (1996).
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The Tricomi problem with a nonlocal matching condition for the generalized Tricomi equation. (English. Russian original) Zbl 0886.35100

Differ. Equations 32, No. 3, 413-416 (1996); translation from Differ. Uravn. 32, No. 3, 409-412 (1996).
MSC:  35M10 35A05 45B05
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Numerical solution of supersingular integral equations by a method of the type of that of rectangles. (English. Russian original) Zbl 0879.65095

Differ. Equations 32, No. 2, 241-251 (1996); translation from Differ. Uravn. 32, No. 2, 238-248 (1996).
MSC:  65R20 45E05
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A regularization method for systems with unstable spectral value of the kernel of the integral operator. (English. Russian original) Zbl 0852.65136

Differ. Equations 31, No. 4, 647-656 (1995); translation from Differ. Uravn. 31, No. 4, 696-706 (1995).
MSC:  65R20 65R30 45J05
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New solvability theorems for Hammerstein equations with potential nonlinearities. (English. Russian original) Zbl 0856.47043

Differ. Equations 31, No. 4, 641-646 (1995); translation from Differ. Uravn. 31, No. 4, 690-695 (1995).
MSC:  47H30 45P05 47J20
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Convergence of collocation and mechanical quadrature methods for nonlinear singular integral equations in the space \(L_ p\). (English. Russian original) Zbl 0852.65135

Differ. Equations 30, No. 12, 2009-2012 (1994); translation from Differ. Uravn. 30, No. 12, 2183-2185 (1994).
MSC:  65R20 45G05
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Stability of the equations describing the interaction of viscoelastic plates with liquid. (English. Russian original) Zbl 0856.73061

Differ. Equations 30, No. 11, 1815-1828 (1994); translation from Differ. Uravn. 30, No. 11, 1966-1981 (1994).
MSC:  74F10 74K20 45D05
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An approximate method for solving the Prandtl integral equation for a foil with corner. (English. Russian original) Zbl 0851.76027

Differ. Equations 30, No. 9, 1486-1495 (1994); translation from Differ. Uravn. 30, No. 9, 1607-1616 (1994).
MSC:  76G25 65R20 45E05
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Theory of singular solutions to singular integral equations and its application to diffraction problems. (English. Russian original) Zbl 0852.45007

Differ. Equations 30, No. 9, 1436-1442 (1994); translation from Differ. Uravn. 30, No. 9, 1553-1560 (1994).
MSC:  45E05 78A45
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The Banach-Cacciopolli principle and the implicit function theorem in binormed spaces with applications to differential equations. (English. Russian original) Zbl 0824.47049

Differ. Equations 30, No. 3, 352-361 (1994); translation from Differ. Uravn. 30, No. 3, 381-392 (1994).
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An operational method for solving some classes of integro-differential equations. (English. Russian original) Zbl 0827.44004

Differ. Equations 30, No. 2, 247-256 (1994); translation from Differ. Uravn. 30, No. 2, 269-280 (1994).
MSC:  44A40 45J05 34A25
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