Source: J. Integral Equations Appl.
Volume 18, Number 1
M.A. Abdou, Integral equation of mixed type and integrals of orthogonal polynomials, J. Comput. Appl. Math. 138 (2002), 273-285.
M. Abramowitz and I.A. Stegun, eds., Handbook of mathematical functions, Dover, New York, 1965.
J.F. Ahner and C.S. Kahane, On an integral equation for the electrified disk, Tech. Report, Dept. of Mathematics, Vanderbilt University, November, 1978.
H.W. Arthurs, R.A. Blais and J. Thompson, Integrity in scholarship: A report to Concordia University, April 1994. Available at: http://www.uwaterloo.ca/web-docs/documents/arthurs.
K.E. Atkinson and F. de Hoog, Collocation methods for a boundary integral equation on a wedge, in Treatment of integral equations by numerical methods (C.T.H. Baker and G.F. Miller, eds.), Academic Press, London, 1982, pp. 253-260.
Mathematical Reviews (MathSciNet): MR755360
J. Boersma and E. Danicki, On the solution of an integral equation arising in potential problems for circular and elliptic disks, SIAM J. Appl. Math. 53 (1993), 931-941.
H.F. Bueckner, Field singularities and related integral representations, in Mechanics of fracture 1, Methods of analysis and solutions of crack problems (G.C. Sih, ed.), Noordhoff, Leyden, 1973, pp. 239-314.
H.D. Bui, Application des potentiels élastiques à l'étude des fissures planes de forme arbitraire en milieu tridimensionnel, C.R. Acad. Sci. Paris, Sér. A 280 (1975), 1157-1160.
Mathematical Reviews (MathSciNet): MR378542
V.I. Fabrikant, Applications of potential theory in mechanics, Kluwer, Dordrecht, 1989.
--------, Mixed boundary value problems of potential theory and their applications in engineering, Kluwer, Dordrecht, 1991.
V.I. Fabrikant and T.S. Sankar, On contact problems in an inhomogeneous half-space, Internat. J. Solids Structures 20 (1984), 159-166.
V.I. Fabrikant, T.S. Sankar and M.N.S. Swamy, On the generalized potential problem for a surface of revolution, Proc. Amer. Math. Soc. 90 (1984), 47-56.
Mathematical Reviews (MathSciNet): MR722414
M.H. Fahmy, M.A. Abdou and M.A. Darwish, Integral equations and potential-theoretic type integrals of orthogonal polynomials, J. Comput. Appl. Math. 106 (1999), 245-254.
I.S. Gradshteyn and I.M. Ryzhik, Table of integrals, series, and products, Academic Press, New York, 1980.
J.T. Guidera and R.W. Lardner, Penny-shaped cracks, J. Elasticity 5 (1975), 59-73.
N.I. Ioakimidis, Application of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity, Acta Mech. 45 (1982), 31-47.
Mathematical Reviews (MathSciNet): MR679178
C.S. Kahane, The solution of mildly singular integral equation of the first kind on a disk, Integral Equations Operator Theory 4 (1981), 548-595.
Mathematical Reviews (MathSciNet): MR634172
E. Kossecka, Defects as surface distributions of double forces, Arch. Mech. 23 (1971), 481-494.
Mathematical Reviews (MathSciNet): MR302019
X.-F. Li and E.-Q. Rong, Solution of a class of two-dimensional integral equations, J. Comput. Appl. Math. 145 (2002), 335-343.
E.R. Love and J.B. Miller, On a method of Fabrikant, Sankar and Swamy for a generalized potential problem, Mathematika 35 (1988), 72-86.
Mathematical Reviews (MathSciNet): MR962737
P.A. Martin, Mapping flat cracks onto penny-shaped cracks, with application to somewhat circular tensile cracks, Quart. Appl. Math. 54 (1996), 663-675.
P.A. Martin and F.J. Rizzo, On boundary integral equations for crack problems, Proc. Roy. Soc. London Ser. A 421 (1989), 341-355.
Mathematical Reviews (MathSciNet): MR985268
V.V. Panasyuk, Limiting equilibrium of brittle solids with fractures, Management Information Services, Detroit, 1970. [Library of Congress No. 70-135093] (transl. from Russian ed., Naukova Dumka, Kiev, 1968).
F. Penzel, Sobolev space methods for the Laplace equation in the exterior of the disk, Integral Equations Operator Theory 17 (1993), 123-136.
A.G. Ramm and V.I. Fabrikant, Justification of Fabrikant's method for solving mixed problems of potential theory, Comput. Math. Appl. 22 6 (1991), 97-103.
T.S. Sankar and V. Fabrikant, Asymmetric contact problem including wear for nonhomogeneous half space, J. Appl. Math. Mech. 49 (1982), 43-46.
Mathematical Reviews (MathSciNet): MR653974
P. Wolfe, Eigenfunctions of the integral equation for the potential of the charged disk, J. Math. Phys. 12 (1971), 1215-1218.
Mathematical Reviews (MathSciNet): MR284082