The radiative transport equation and operator Wiener-Hopf equation. (English. Russian original) Zbl 0232.45022
Funct. Anal. Appl. 5, 262-264 (1972); translation from Funkts. Anal. Prilozh. 5, No. 3, 106-108 (1971).
MSC:
| 45M99 | Qualitative behavior of solutions to integral equations |
| 45E10 | Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) |
| 45M05 | Asymptotics of solutions to integral equations |
References:
| [1] | S. Chandrasekar, Radiative Transfer, Oxford University Press, London (1950). |
| [2] | M. V. Maslennikov, The Milne Problem with Anisotropic Scattering [in Russian], Trudy V. A. Steklov Matem. Inst. Akad. Nauk SSSR, No. 97 (1968). · Zbl 0187.07901 |
| [3] | I. A. Fel’dman, ”The asymptotics of solutions of systems of integral equations of Wiener-Hopf type,” Sibirsk. Matem. Zh.,6, No. 3, 596–615 (1965). |
| [4] | M. V. Keldysh, ”On the characteristic values and characteristic functions of certain classes of nonself-adjoint equations,” Dokl. Akad. Nauk SSSR,77, No. 1, 11–14 (1951). |
| [5] | V. M. Eni, ”Stability of the root number of an analytic operator-function and perturbations of its characteristic numbers and eigenvectors,” Dokl. Akad. Nauk SSSR,173, No. 6, 1251–1254 (1967). · Zbl 0157.45302 |
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