Geodesic
On approximate methods of solving nonlinear boundary value problems with a~small parameter
Sbornik. Mathematics, Tome 28 (1976) no. 4, pp. 491-500

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Variational inequalities with a small parameter are considered, together with closely related nonlinear operator equations. The penalty method as applied to variational inequalities is studied, and Galerkin's method relative to nonlinear equations. Under conditions of monotonicity, coerciveness and hemicontinuity on the operators, uniform convergence (with respect to the small parameter) of the approximate solutions thus obtained to the exact solution is demonstrated. Bibliography: 12 titles. 
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     author = {L. A. Kalyakin},
     title = {On approximate methods of solving nonlinear boundary value problems with a~small parameter},
     journal = {Sbornik. Mathematics},
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     volume = {28},
     number = {4},
     year = {1976},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1976_28_4_a3/}
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L. A. Kalyakin. On approximate methods of solving nonlinear boundary value problems with a~small parameter. Sbornik. Mathematics, Tome 28 (1976) no. 4, pp. 491-500. http://geodesic.mathdoc.fr/item/SM_1976_28_4_a3/