Literature Cited
S. Spagnolo, “Sulla convergenza di soluzioni di equazioni paraboliche ed ellittiche,” Ann. Scuola Norm. Sup. Pisa, Cl. Sci.,22, 571–597 (1968).
S. Spagnolo, “Convergence of parabolic equations,” Boll. Unione Mat. Ital.,14-B, No. 2, 547–568 (1977).
V. V. Zhikov, S. M. Kozlov, and O. A. OLeinik, “On G-convergence of parabolic operators,” Usp. Mat. Nauk,36, No. 1, 11–58 (1981).
A. Bensoussan, J.-L. Lions, and G. Papanicolaou, Asymptotic Analysis for Periodic Structures, North-Holland, Amsterdam (1978).
N. S. Bakhvalov, “Averaging of nonlinear partial differential equations with rapidly oscillating coefficients,” Dokl. Akad. Nauk SSSR,225, No. 2, 249–252 (1975).
F. Colombini and S. Spagnolo “Sur la convergence de solutions d'équations paraboliques,” J. Math. Pures Appl.,56, No. 3, 263–306 (1977).
A. G. Kolpakov, “Averaging in a second-order differential equation,” Differents. Uravn., No., 10, 1680–1684 (1982).
H. Gajewski, K. Gröger, and K. Zacharias, Nonlinear Operator Equations and Differential Operator Equations [Russian translation], Mir, Moscow (1977). [German original: Operatorgleichungen und Operatordifferentialgleichungen., Akademie-Verlag, Berlin, (1984)]
J. L. Lions and E. Magenes, Nonhomogeneous Boundary Value Problems and Applications, 3 Vols., Springer-Verlag, New York (1972–1973).
J. L. Lions Some Methods of Solving Nonlinear Boundary-Value Problems [Russian translation], Mir, Moscow (1972) [French original: Quelques Méthodes de Resolution des Problèmes aux Limites non Linéaires, Dunod, Paris (1969)]
L. Boccardo and P. Marcellini, “Sulla convergenza delle soluzioni di disequazioni variazionale,” Ann. Mat. Pura Appl.,55, No. 4, 137–159 (1976).
A. G. Kolpakov, “Averaging of some systems of ordinary differential equations,” Mat. Sb.,119, No. 4, 534–547 (1982).
Additional information
Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 29, No. 2, pp. 90–104, March–April, 1988.
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Kolpakov, A.G. G-convergence of a class of evolution operators. Sib Math J 29, 233–244 (1988). https://doi.org/10.1007/BF00969735
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DOI: https://doi.org/10.1007/BF00969735