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.

引用

页码：387 / 392

页数：5

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