Literature cited
Yu. A. Surinov, “Integral equations of thermal radiation and methods of calculating radiant heatexchange in systems of gray bodies, separated by a diathermal medium,”Izv. Akad. Nauk SSSR, Otdel. Tekh. Nauk, No. 7 (1948).
N. R. Sidenko, Nonlinear Problems for Systems of Two Thermally Radiating Gray Bodies Separated by a Diathermal Medium. Boundary-Value Problems of Mathematical Physics [in Russian], Izd. Institute Matematika Akad, Nauk Ukrainian SSR, Kiev (1971).
O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type [in Russian], Nauka, Moscow (1967).
W. Pogorzelski, “Study of the fundamental solution of the parabolic equation,” Richerche di Matem. Napoli,5 (1956).
W. Pogorzelski, “Properties of integrals of the standard parabolic equation,” Ann. Polon. Math.,4, No. 1 (1957).
A. M. Il'in, A. S. Kalashnikov, and O. A. Oleinik, “Linear second-order equations of parabolic type,” Uspekhi Matem. Nauk,17, No. 3 (1962).
J. Leray and J. Schauder, “Topology and functional equations,” Uspekhi Matem. Nauk,1, No. 3–4 (1946).
M. A. Krasnosel'skii, Positive Solutions of Operator Equations [in Russian], Fizmatgiz, Moscow (1962).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 25, No. 4, pp. 492–501, July–August, 1973.
Rights and permissions
About this article
Cite this article
Sidenko, N.R. Nonstationary problem of thermal conductivity in a system of diathermally separated bodies. Ukr Math J 25, 406–413 (1973). https://doi.org/10.1007/BF01085453
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01085453