Integral equations with difference kernels on finite intervals

Integral equations with difference kernels on finite intervals
HTML articles powered by AMS MathViewer

Trans. Amer. Math. Soc. 116 (1965), 465-473

DOI: https://doi.org/10.1090/S0002-9947-1965-0188735-3

PDF | Request permission

References

S. Chandrasekhar, Radiative transfer, Dover Publications, Inc., New York, 1960. MR 0111583
B. Davison and J. B. Sykes, Neutron transport theory, Oxford, at the Clarendon Press, 1957. MR 0095716

On the theory of boundary refraction of electromagnetic waves, investigations on the propagation of radio waves

Integral equations on a half-line with kernel depending upon the difference of the arguments

22

A. Leonard and T. W. Mullikin, Spectral analysis of the anisotropic neutron transport kernel in slab geometry with applications, J. Mathematical Phys. 5 (1964), 399–411. MR 170688, DOI 10.1063/1.1704132
T. W. Mullikin, Chandrasekhar’s $X$ and $Y$ equations, Trans. Amer. Math. Soc. 113 (1964), 316–332. MR 166577, DOI 10.1090/S0002-9947-1964-0166577-1
T. W. Mullikin, Estimates of critical dimensions of spherical and slab reactors, J. Math. Anal. Appl. 5 (1962), 184–199. MR 197155, DOI 10.1016/S0022-247X(62)80003-1
N. I. Muskhelishvili, Singular integral equations, Wolters-Noordhoff Publishing, Groningen, 1972. Boundary problems of functions theory and their applications to mathematical physics; Revised translation from the Russian, edited by J. R. M. Radok; Reprinted. MR 0355494
F. G. Tricomi, Integral equations, Pure and Applied Mathematics, Vol. V, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1957. MR 0094665

Über eine Klasse Singularer Integralgleichungen

Comparison of kinetic theory analyses of linearized Couette flow

5

A. Leonard and T. W. Mullikin, An application of singular integral equation theory to a linearized problem in Couette flow, Ann. Physics 30 (1964), 235–248. MR 181415, DOI 10.1016/0003-4916(64)90117-4
A. Leonard and T. W. Mullikin, Green’s functions for one-velocity neutron transport in a one-dimensional slab and sphere, Proc. Nat. Acad. Sci. U.S.A. 52 (1964), 683–688. MR 170689, DOI 10.1073/pnas.52.3.683

Jahre Grenzschichtforschung

Richard Latter, Approximate solutions for a class of integral equations, Quart. Appl. Math. 16 (1958), 21–31. MR 104128, DOI 10.1090/S0033-569X-1958-0104128-0
V. Hutson, Asymptotic solutions of integral equations with convolution kernels, Proc. Edinburgh Math. Soc. (2) 14 (1964/65), 5–19. MR 166570, DOI 10.1017/S0013091500011172