|
Trudy Petrozavodskogo Gosudarstvennogo Universiteta. Seriya Matematika, 2005, Issue 12, Pages 22–36
(Mi pa60)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
The theorem on existence of singular solutions to nonlinear equations
A. Prusińskaa, A. A. Tret'yakovb a Podlasie University
b System Research Institute, Polish Academy of Sciences
Abstract:
The aim of this paper is to present some applications of $p$-regularity theory to investigations of nonlinear multivalued mappings. The main result addresses to the problem of existence of solutions to nonlinear equations in the degenerate case when the linear part is singular at the considered initial point. We formulate conditions for existence of solutions of equation $F(x)=0$ when first $p-1$ derivatives of $F$ are singular.
Citation:
A. Prusińska, A. A. Tret'yakov, “The theorem on existence of singular solutions to nonlinear equations”, Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2005, no. 12, 22–36
Linking options:
https://www.mathnet.ru/eng/pa60 https://www.mathnet.ru/eng/pa/y2005/i12/p22
|
Statistics & downloads: |
Abstract page: | 90 | Full-text PDF : | 87 |
|