Successive approximations to the solutions to nonlinear equations with a vector parameter in a nonregular caseстатья
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Дата последнего поиска статьи во внешних источниках: 20 декабря 2019 г.
Аннотация: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.