Geodesic
An uniformization and successive approximation of solutions of nonlinear equations with vector parameter
The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 3, pp. 116-123

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We consider a nonlinear operator equation with a Fredholm linear operator in the leading part, depending on small vector parameter. We have proposed the way of construction the solutions. Theory is applied for investigation of the boundary problem of buckling imperfection sensitivity of columns.
Mots-clés : ramification of solutions
Keywords: Fredholm operator, asymptotics, successive approximations, boundary problem. 
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     title = {An uniformization and successive approximation of solutions of nonlinear equations with vector parameter},
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R. Y. Leontyev; N. A. Sidorov. An uniformization and successive approximation of solutions of nonlinear equations with vector parameter. The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 3, pp. 116-123. http://geodesic.mathdoc.fr/item/IIGUM_2011_4_3_a10/