ÝÉÔÉÒÄÁÉÓ ÉÍÃÄØÓÉ (1994-2003 ßËÄÁÉ)

ÖÝáÏÖÒ ÓÀÌÄÝÍÉÄÒÏ ÂÀÌÏÝÄÌÄÁÛÉ ÝÉÔÉÒÄÁÀÈÀ ÒÀÏÃÄÍÏÁÀ (1994-2003 ßËÄÁÉ) - 129

ÓÀØÀÒÈÅÄËÏÓ ÓÀÌÄÝÍÉÄÒÏ ÂÀÌÏÝÄÌÄÁÛÉ ÝÉÔÉÒÄÁÀÈÀ ÒÀÏÃÄÍÏÁÀ (1994-2003 ßËÄÁÉ) - 0

ãÀÌÖÒÉ ÉÍÃÄØÓÉ - 129

ÝÉÔÉÒÄÁÀÈÀ ÍÖÓáÀ (1994-2003 ßËÄÁÉ)

1. G. Mastroianni and G. Monegato, Nystrom interpolants based on the zeros of Legendre polynomials for a noncompact integral operator equation. IMA J. Numer. Anal. 14 (1994), No. 1, 81-95.

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2. G. Mastroianni and G. Monegato, Polynomial approximations of functions with end-point singularities and product integration formulas. Math. Comp. 62 (1994), No. 206, 725-738.

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3. A. Bottcher and I. M. Spitkovsky, Pseudodifferential-operators with heavy spectrum. Integral Equations Operator Theory 19 (1994), No. 3, 251-269.

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4. A. Bottcher, Y. I. Karlovich, and I. M. Spitkovsky, Toeplitz-operators with semi-almost periodic symbols on spaces with Muckenhoupt weight. Integral Equations Operator Theory 18 (1994), No. 3, 261-276.

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5. M. C. Camara and A. F. Dossantos, Generalized factorization for a class of  matrix functions – partial indexes and explicit formulas. Integral Equations Operator Theory 20 (1994), No. 2, 198-230.

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6. V. M. Deundyak, I. B. Simonenko, and V. A. Stukopin, The index of families of noetherian singular and bisingular integral-operators with piecewise continuous coefficients on composed curves. Dokl. Akad Nauk 338 (1994), No. 2, 158-161.

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7. L. Jentsch, On the boundary transmission problem of thermoelastostatics in a plane domain with interface corners. Math. Meth. Appl. Sci. 17 (1994), No. 14, 1089-1114.

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8. L. I. Sazonov,. On bisingular operators in the space L(P)(R(2)) with some invariance conditions. Math. Notes 55 (1994), No. 3-4, 387-393.

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9. N. G. Moiseyev and G. Y. Popov, The antiplane problem of a crack with edges touching planes where the constants of elasticity change. PMM J. Appl. Math. Mech. 58 (1994), No. 4, 713-725.

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10. L. Jentsch and D. Natroshvili, Nonclassical interface problems for piecewise homogeneous anisotropic elastic bodies. Math. Methods Appl. Sci. 18 (1995), No. 1, 27-49.

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11. P. Junghanns, S. Roch, and U. Weber, Finite sections for singular integral-operators by weighted Chebyshev polynomials. Integral Equations Operator Theory 21 (1995), No. 3, 319-333.

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 12. O. O. Chkadua, The nonclassical boundary-contact problems of elasticity for homogeneous anisotropic media. Math. Nachr. 172 (1995), 49-64.

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13. D. Mirschinka, The Double-layer potential method for a boundary transmission problem for the Laplace operator in an infinite wedge. Math. Methods Appl. Sci. 18 (1995), No. 7, 515-528.

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14. V. D. Didenko, S. Roch, and B. Silbermann, approximation methods for singular integral-equations with conjugation on curves with corners. SIAM J. Numer. Anal. 32 (1995), No. 6, 1910-1939.

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15. V. B. Vasilev, Many-dimensional Riemann problem and related singular internal equations. Differential Equations 31 (1995), No. 3, 492-494.

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16. V. G. Popov, Vertical vibrations of a rigid edge inclusion under a harmonic load. Internat. Appl. Mech. 31 (1995), No. 7, 542-550.

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17. A. Bottcher and B. Silbermann, Infinite Toeplitz and Hankel matrices with operator-valued entries. SIAM J. Math. Anal. 27 (1996), No. 3, 805-822.

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18. G. Monegato, A stable Nystrom interpolant for some Mellin convolution equations. Numer. Algorithms 11 (1996), No. 1-4, 271-283.

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19. L. Jentsch and D. Natroshvili, Non-classical mixed interface problems for anisotropic bodies. Math. Nachr. 179 (1996), 161-186.

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20. L. I. Sazonov, On bisingular operators with measurable coefficients. Siberian Math. J. 37 (1996), No. 2, 335-343.

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21. V. Didenko and E. Venturino, Approximate solutions of some Mellin equations with conjugation. Integral Equations Operator Theory 25 (1996), No. 2, 163-181.

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22. A. Bottcher, Y. I. Karlovich, and V. S. Rabinovich, Emergence, persistence, and disappearance of logarithmic spirals in the spectra of singular integral operators. Integral Equations Operator Theory 25 (1996), No. 4, 406-444.

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23. L. Sigua, Screen problem for vector Helmholtz equation in non-smooth domains. Z. Angew. Math. Mech. 76 (1996), 129-132.

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24. D. Natroshvili, Steady state oscillation problems in anisotropic elasticity. Z. Angew. Math. Mech. 76 (1996), 125-128.

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25. V. Kirvalidze, The Dirichlet problem for the Stokes equation in a domain exterior to an open surface. Z. Angew. Math. Mech. 76 (1996), 121-124.

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26. D. Natroshvili and G. Sadunishvili, Interaction of elastic and scalar fields. Math. Methods Appl. Sci. 19 (1996), No. 18, 1445-1469.

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27. V. S. Rabinovich, Algebras of singular integral operators on compound contours with nodes that are logarithmic whirl points. Izv. Math. 60 (1996), No. 6, 1261-1292.

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28. D. Natroshvili, Boundary integral equation method in the steady state oscillation problems for anisotropic bodies. Math. Methods Appl. Sci. 20 (1997), No. 2, 95-119.

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29. M. A. Efendiev and W. L. Wendland, Nonlinear Riemann-Hilbert problems without transversality. Math. Nachr. 183 (1997), 73-89.

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30. A. B. Lebre, A. M. Santos, and F. O. Speck, Factorization of a class of matrices generated by Sommerfeld diffraction problems with oblique derivatives. Math. Methods Appl. Sci. 20 (1997), No. 14, 1185-1198.

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31. V. G. Popov, Interaction of a plane harmonic Rayleigh wave with a thin rigid edge inclusion coupled with an elastic medium. PMM J. Appl. Math. Mech. 61 (1997), No. 2, 245-252.

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32. V. Kirvalidze, The Dirichlet problem for Stokes equation in a domain exterior to an open surface. Math. Methods Appl. Sci. 20 (1997), No. 15, 1257-1269.

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33. O. Chkadua, Some boundary-contact problems of the elasticity theory with mixed boundary conditions outside the contact surface. Math. Nachr. 188 (1997), 23-48.

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34. B. A Plamenevskii, On pseudodifferential operators with symbols having discontinuities in coordinates and momentum. Dokl. Akad. Nauk 356 (1997), No. 5, 599-601.

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35. O. Chkadua, The Dirichlet, Neumann and mixed boundary value problems of the theory of elasticity in n-dimensional domains with boundaries containing closed cuspidal edges. Math. Nachr. 189 (1998), 61-105.

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36. C. B. Schneider, Inversion formulas for the discretized Hilbert transform on the unit circle. SIAM J. Numer. Anal. 35 (1998), No. 1, 71-77.

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37. A. N. Galybin, Propagation of a shear crack in a compressed plane with a circular hole. Int. J. Numer. Anal. Methods Geomech. 22 (1998), No. 3, 175-196.

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38. M. Brokate and A. M. Khludnev, Regularization and existence of solutions of three-dimensional elastoplastic problems. Math. Methods Appl. Sci. 21 (1998), No. 6, 551-564.

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39. L. Jentsch, D. Natroshvili, and W. L. Wendland, General transmission problems in the theory of elastic oscillations of anisotropic bodies (basic interface problems). J. Math. Anal. Appl. 220 (1998), No. 2, 397-433.

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40. D. Quint, L. Rodman, and I. M. Spitkovsky, New cases of almost periodic factorization of triangular matrix functions. Michigan Math. J. 45 (1998), No. 1, 73-102.

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 41. M. A. Bastos, Y. I. Karlovich, A. F. dos Santos, and P.M. Tishin, The corona theorem and the canonical factorization of triangular AP matrix functions – effective criteria and explicit formulas. J. Math. Anal. Appl. 223 (1998), No. 2, 523-550.

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42. M. A. Bastos, Y. I. Karlovich, A. F. dos Santos, and P. M. Tishin, The corona theorem and the existence of canonical factorization of triangular AP-matrix functions. J. Math. Anal. Appl. 223 (1998), No. 2, 494-522.

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43. A. M. Khludnev, Regularization and existence of solutions in the equilibrium problem for an elastoplastic plate. Siberian Math. J. 39 (1998), No. 3, 582-593.

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44. S. P. Mitin, Representation of solutions of anisotropic elasticity. Differential Equations 34 (1998), No. 1, 95-102.

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45. A. M. Santos, F. O. Speck, and F. S. Teixeira, Minimal normalization of Wiener-Hopf operators in spaces of Bessel potentials. J. Math. Anal. Appl. 225 (1998), No. 2, 501-531.

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46. A. M. Khludnev and J. Sokolowski, On solvability of boundary value problems in elastoplasticity. Control Cybernet. 27 (1998), No. 2, 311-330.

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47. V. A. Kovtunenko, Variational and boundary value problems in the presence of friction on the inner boundary. Siberian Math. J. 39 (1998), No. 5, 913-926.

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48. L. Jentsch and D. Natroshvili, Non-local approach in mathematical problems of fluid-structure interaction. Math. Methods Appl. Sci. 22 (1999), No. 1, 13-42.

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49. N. Krupnik and Y. Spigel, Critical points of essential norms of singular integral operators in weighted spaces. Integral Equations Operator Theory 33 (1999), No. 2, 211-220.

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50. Y. A. Antipov, An exact solution of the 3-D-problem of an interface semi- infinite plane crack. J. Mech. Phys. Solids 47 (1999), No. 5, 1051-1093.

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51. P. R. Johnston, Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals. Internat. J. Numer. Methods Engrg. 45 (1999), No. 10, 1333-1348.

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52. L. Jentsch, D. Natroshvili, and W. L. Wendland, General transmission problems in the theory of elastic oscillations of anisotropic bodies – (Mixed interface problems). J. Math. Anal. Appl. 235 (1999), No. 2, 418-434.

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53. L. I. Sazonov, C*-algebras of bisingular operators with discontinuous coefficients. Izv. Math. 63 (1999), No. 2, 367-399.

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54. S. Nicaise and A. M. Sandig, Transmission problems for the Laplace and elasticity operators: Regularity and boundary integral formulation. Math. Models Methods Appl. Sci. 9 (1999), No. 6, 855-898.

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55. Sigua, L. Screen problem for vector Helmholtz equation. Math. Nachr. 206 (1999), 147-161.

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56. K. K. Boimatov and G. Dzhangibekov, On some singular integral operators with matrix coefficients. Dokl. Akad. Nauk 369 (1999), No. 3, 299-302.

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57. M. S. Agranovich, B. A. Amosov, and M. Levitin, Spectral problems for the Lame system with spectral parameter in boundary conditions on smooth or nonsmooth boundary. Russian J. Math. Phys. 6 (1999), No. 3, 247-281.

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58. N. G. Moiseev, Analogs of a spectral ratio for Wiener-Hopf operators with Mellin convolution. Dokl. Akad. Nauk 365 (1999), No. 1, 17-21.

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59. P. R. Johnston, Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals. Internat. J. Numer. Methods Engrg. 47 (2000), No. 10, 1709-1730.

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60. F. Cakoni, F. Boundary integral method for thermoelastic screen scattering problem in R-3. Math. Methods Appl. Sci. 23 (2000), No. 5, 441-466.

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61. K. H. Hoffmann and A. M. Khludnev, On cracks of minimal opening in thermoelastic plates. ZAMM Z. Angew. Math. Mech. 80 (2000), No. 4, 253-258.

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62. P. R. Johnston and D. Elliott, Error estimation of quadrature rules for evaluating singular integrals in boundary element problems. Internat. J. Numer. Methods Engrg. 48 (2000), No. 7, 949-962.

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63. A. L. Sakhnovich, Diffraction problems and inversion of infinite structured matrices. J. Math. Anal. Appl. 247 (2000), No. 2, 410-425.

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64. L. P. Castro and F. O. Speck, Relations between convolution type operators on intervals and on the half-line. Integral Equations Operator Theory 37 (2000), No. 2, 169-207.

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65. P. A. Santos and B. Silbermann, Galerkin method for Wiener-Hopf operators with piecewise continuous symbol. Integral Equations Operator Theory 38 (2000), No. 1, 66-80.

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66. A. Y. Karlovich, On the essential norm of the Cauchy singular integral operator in weighted rearrangement-invariant spaces. Integral Equations Operator Theory 38 (2000), No. 1, 28-50.

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67. P. A. Lopes and A. F. dos Santos, New results on the invertibility of the finite interval convolution operator. Integral Equations Operator Theory 38 (2000), No. 3, 317-333.

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68. A. Bottcher and M. Seybold, Discrete Wiener-Hopf operators on spaces with Muckenhoupt weight. Studia Math. 143 (2000), No. 2, 121-144.

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69. N. K. Karapetiants and S. G. Samko, On multi-dimensional integral equations of convolution type with shift. Integral Equations Operator Theory 39 (20001), No. 3, 305-328.

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70. Y. I. Karlovich and E. R. De Arellano, A shift-invariant algebra of singular integral operators with oscillating coefficients. Integral Equations Operator Theory 39 (2001), No. 4, 441-474.

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71. A. Bottcher, Y. I. Karlovich, and I. Spitkovsky, Toeplitz operators with semi-almost-periodic matrix symbols on Hardy spaces Acta Appl. Math. 65 (2001), No. 1-3, 115-136.

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72. X. Li, Complete plane strain problem of a nonhomogeneous elastic body with a doubly-periodic set of cracks. ZAMM Z. Angew. Math. Mech. 81 (2001), No. 6, 377-391.

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73. N. Krupnik and Y. Spigel, Matrix symbol of order two for some Banach algebras. Integral Equations Operator Theory 40 (2001), No. 4, 465-480.

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74. M. A. Efendiev and W. L. Wendland, Nonlinear Riemann-Hilbert problems with Lipschitz-continuous boundary data without transversality. Nonlinear Anal. 47 (2001), No. 1, 457-466.

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75. Y. I. Karlovich and A. B. Lebre, Algebra of singular integral operators with a Carleman backward slowly oscillating shift. Integral Equations Operator Theory 41 (2001), No. 3, 288-323.

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76. W. Weikl, H. Andra, and E. Schnack, An alternating iterative algorithm for the reconstruction of internal cracks in a three-dimensional solid body. Inverse Problems 17 (2001), No. 6, 1957-1975.

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77. M. Mitrea, The initial Dirichlet boundary value problem for general second order parabolic systems in nonsmooth manifolds. Comm. Partial Differential Equations 26 (2001), No. 11-12, 1975-2036.

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78. P. A. Santos, Spline approximation methods with uniform meshes in algebras of multiplication and convolution operators. Math. Nachr. 232 (2001), 95-127.

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79. M. Costabel and M. Dauge, Crack singularities for general elliptic systems. Math. Nachr. 235 (2002), 29-49.

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80. G. Dzhangibekov, Some two-dimensional singular integral operators in a bounded domain. Dokl. Math. 65 (2002), No. 2, 149-151.

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81. P. Junghanns and A. Rathsfeld, On polynomial collocation for Cauchy singular integral equations with fixed singularities. Integral Equations Operator Theory 43 (2002), No. 2, 155-176.

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82. V. A. Kovtunenko, Sensitivity of interfacial cracks to non-linear crack front perturbations. ZAMM Z. Angew. Math. Mech. 82 (2002), No. 6, 387-398.

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83. V. D. Didenko and B. Silbermann, On stability of approximation methods for the Muskhelishvili equation. J. Comput. Appl. Math. 146 (2002), No. 2, 419-441.

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84. I. I. Argatov and S. A. Nazarov, Energy release caused by the kinking of a crack in a plane anisotropic solid. PMM J. Appl. Math. Mech. 66 (2002), No. 3, 491-503.

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85. M. A. Bastos, Y. I. Karlovich, and A. F. dos Santos, Oscillatory Riemann-Hilbert problems and the corona theorem. J. Funct. Anal. 197 (2003), No. 2, 347-397.

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 86. G. Mastroianni, C. Frammartino, and A. Rathsfeld, On polynomial collocation for second kind integral equations with fixed singularities of Mellin type. Numer. Math. 94 (2003), No. 2, 333-365.

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87. V. A. Kovtunenko, Sensitivity of curvilinear cracks on interface to non-linear perturbations. ZAMM Z. Angew. Math. Mech. 54 (2003), No. 3, 410-423.

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