Successive approximations to the solutions to nonlinear equations with a vector parameter in a nonregular case

被引：0
|
作者：
Sidorov, N.A. [1 ,2 ]
Sidorov, D.N. [3 ]
Leont'ev, R. Yu. [2 ]
机构：
[1] Institute of Mathematics, Economics and Computer Science, Irkutsk State University, ul. K. Marksa 1, Irkutsk 664003, Russia
[2] Melentiev Energy Systems Institute, SB RAS, ul. Lermontova 130, Irkutsk 664033, Russia
[3] Irkutsk State University, ul. K. Marksa 1, Irkutsk 664003, Russia
来源：
Journal of Applied and Industrial Mathematics | 2012年 / 6卷 / 03期
关键词：
The authors were supported by the Federal Target Program Scientific and Scientific-Pedagogical Personnel of Innovative Russia for 2009–2013 (State contract no. 696);
D O I：
10.1134/S1990478912030143
中图分类号：
学科分类号：
摘要：
We consider a nonlinear operator equation with a Fredholm linear operator in the principal part. The nonlinear part of the equation depends on the functionals defined on an open set in a normed vector space. We propose a method of successive asymptotic approximations to branching solutions. The method is used for studying the nonlinear boundary value problem describing the oscillations of a satellite in the plane of its elliptic orbit.
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页码：387 / 392
页数：5
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