Variational formulation of stochastic linear boundary-value problems of the theory of elasticity

Springer Science and Business Media LLC - Tập 18 - Trang 494-498 - 1982
V. M. Goncharenko

Tài liệu tham khảo

V. V. Bolotin, Statistical Methods in Structural Mechanics [in Russian], Gosstroizdat, Moscow (1965). V. M. Goncharenko, “Certain classes of generalized vector functions and their application to boundaryvalue problems in random functions,” Ukr. Mat. Zh.,27, No. 2, 158–166 (1975). V. M. Goncharenko, “Generalized solutions of boundary-value problems of the theory of elasticity with random loads,” Prikl. Mat. Mekh.,40, No. 3, 573–576 (1976). V. M. Goncharenko, “Traces at the boundary of a region for some classes of functions that take their values in Hilbert space,” in: Mathematical Symposium, Nauk. Dumka, Kiev (1976), pp. 207–210. V. M. Goncharenko, “Solvability and approximate methods of solving boundary-value problems of the theory of elasticity of plates and shells with random loads,” Prikl. Mekh.,12, No. 12, 46–54 (1976). S. G. Krein, Linear Equations in a Banach Space, Amer. Math. Soc. (1972). J. L. Lions and E. Magenes, Non-homogeneous Boundary Value Problems and Applications, Springer-Verlag (1972). V. A. Lomakin, Statistical Problems of the Mechanics of Deformable Solids [in Russian], Nauka, Moscow (1970). S. G. Mikhlin, Variational Methods in Mathematical Physics, Nauka, Moscow (1970). J. P. Oben, Approximate Solution of Elliptic Boundary-Value Problems [Russian translation], Mir, Moscow (1977). G. Fiker, Existence Theorems in the Theory of Elasticity [in Russian], Mir, Moscow (1974). V. M. Gontscharenko, “Uber die Losbarkeit der linearen stochastischen Randwertaufgaben der Elastizitätstheorie,” Wiss. Beitrage Ingeniurhochschul Zwickau, No. 1, 72–89 (1977). J. L. Lions, Equations Differentielles Operationelles, Springer-Verlag, Berlin-Gottingen-Heidelberg (1961).