Results 41 to 50 of about 13,676,050 (240)

On extension of functions, being integrable with weight on interval and satisfying conditions of Lipschitz type

Researches in Mathematics, 2016
We show the method to expand functions being integrable with a weight on the interval, and satisfying conditions of integral Lipschitz type, on the whole line. We prove that the differential properties of such functions are kept at the expansion.
openaire   +2 more sources

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano   +2 more
wiley   +1 more source

CONVERGENCE OF EXTRAGRADIENT ALGORITHM WITH MONOTONE STEP-SIZE STRATEGY FOR VARIATIONAL INEQUALITIES AND OPERATOR EQUATIONS

Міжнародний науково-технічний журнал "Проблеми керування та інформатики"
A variational inequalities and operator equations in an infinite dimensional Hilbert space with additional conditions for the type of inclusion in the set of fixed points of a given operator are considered. For an approximate solution of the problems, a
С.В. Денисов, Д.А. Номіровський, Б.В. Рубльов, В.В. Семенов   +3 more
doaj   +1 more source

Regularity Estimates for Fully Nonlinear Dead‐Core Problems With a Hamiltonian Term

Mathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we present a problem involving fully nonlinear elliptic operators with Hamiltonian, which can present a singularity or degenerate as the gradient approaches the origin. The model studied here, allows the appearance of plateau zones, i.e., unknown regions of the domain in which the non‐negative solutions vanishes.
Rafael R. Costa, Ginaldo S. Sá
wiley   +1 more source

On the Local Convergence of Two-Step Newton Type Method in Banach Spaces under Generalized Lipschitz Conditions

Mathematics, 2021
The motive of this paper is to discuss the local convergence of a two-step Newton-type method of convergence rate three for solving nonlinear equations in Banach spaces.
Akanksha Saxena, Ioannis K. Argyros, Jai P. Jaiswal, Christopher Argyros, Kamal R. Pardasani   +4 more
doaj   +1 more source

On the extension of functions, being integrable with a weight on $[-1;1]$ and satisfying condition of Lipschitz type

Researches in Mathematics, 2013
We show the method to expand functions being integrable with a weight on the interval, and satisfying condition of integral Lipschitz type, on the whole line.
openaire   +2 more sources

Boundedness of Composition Operators in Orlicz–Morrey Spaces

Mathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we investigate the necessary and sufficient conditions for the boundedness of composition operators on Orlicz–Morrey spaces. Our results encompass Lebesgue and generalized Morrey spaces as special cases. In addition, we characterize the boundedness of composition operators on weak Orlicz–Morrey spaces, which include the Orlicz ...
Masahiro Ikeda, Isao Ishikawa, Ryota Kawasumi   +2 more
wiley   +1 more source

Convergence Conditions for the Secant Method

Cubo, 2010
We provide new sufficient convergence conditions for the convergence of the Secant method to a locally unique solution of a nonlinear equation in a Banach space.
Ioannis K Argyros, Sa<img width=10 height=18 src="http:/fbpe/img/cubo/v12n1/img40.jpg">d Hilout   +1 more
doaj  

Strong Convergence of a Modified Euler—Maruyama Method for Mixed Stochastic Fractional Integro—Differential Equations with Local Lipschitz Coefficients

Fractal and Fractional
This paper presents a modified Euler—Maruyama (EM) method for mixed stochastic fractional integro—differential equations (mSFIEs) with Caputo—type fractional derivatives whose coefficients satisfy local Lipschitz and linear growth conditions.
Zhaoqiang Yang, Chenglong Xu
doaj   +1 more source

On convergence rates for iteratively regularized Newton-type methods under a Lipschitz-type nonlinearity condition

Journal of Inverse and Ill-posed Problems, 2014
Abstract We investigate a generalization of the well-known iteratively regularized Gauss–Newton method where the Newton equations are regularized variationally using general data fidelity and penalty terms. To obtain convergence rates, we use a general error assumption which has recently been shown to be useful for impulsive and Poisson ...
openaire   +3 more sources