THE THEOREM ON EXISTENCE OF SINGULAR SOLUTIONS TO NONLINEAR EQUATIONS
Journal Title: Проблемы анализа-Issues of Analysis - Year 2005, Vol 12, Issue
Abstract
The aim of this paper is to present some applications of pregularity 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.
Authors and Affiliations
A. PRUSINSKA
Keywords
Related Articles
- EP ID EP243934
- DOI -
- Views 92
- Downloads 0
О ХАУСДОРФОВОЙ МЕРЕ ОДНОРОДНОГО ТРЕУГОЛЬНОГО (С, θ)-КОВРА СЕРПИНСКОГО
В работе рассматривается однородный треугольный (с,θ)-ковер Серпинского. Для значений параметра с ⊂(0,1/3] при θ⊂(π/3, π) получено точное значение хаусдорфовой s-меры, а при θ⊂(0, π/3] её оценка.
Sobolev-Orthonormal System of Functions Generated by the System of Laguerre Functions
We consider the system of functions λ α r,n (x) (r ∈ N, n = 0, 1, 2, . . .), orthonormal respect to the Sobolev-type inner product f, g = Σ r-1 ν=0 f (υ) (0) g (υ) (0)+ I ∞ 0 f (r) (x) g (r) (x) dx and generated by the o...
ОЦЕНКИ РАЗНОСТЕЙ РЕШЕНИЙ НЕЛИНЕЙНЫХ ИНТЕГРАЛЬНЫХ УРАВНЕНИЙ В БАНАХОВОМ ПРОСТРАНСТВЕ
In this paper we consider estimations of difference of nonlinear integral equations in Banach space.
ВЗАИМНЫЕ МУЛЬТИФРАКТАЛЬНЫЕ СПЕКТРЫ I. ТОЧНЫЕ СПЕКТРЫ
It has introduced the fine mutual multifractal spectra for Borel probability measures and received the estimations for these spectra.
INEQUALITIES CONNECTING GENERALIZED TRIGONOMETRIC FUNCTIONS WITH THEIR INVERSES
Motivated by the recent work [1], in this paper we study the relations of generalized trigonometric and hyperbolic functions of two parameters with their inverse functions.