Results 11 to 20 of about 1,155,766 (245)
New Lipschitz–type conditions for uniqueness of solutions of ordinary differential equations
Journal of Mathematical Analysis and Applications, 2022 We present some generalized Lipschitz conditions which imply uniqueness of solutions for scalar ODEs. We illustrate the applicability of our results with examples not covered by earlier Lipschitz–type uniqueness ...
José Ángel Cid +2 more
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A Caputo discrete fractional-order thermostat model with one and two sensors fractional boundary conditions depending on positive parameters by using the Lipschitz-type inequality [PDF]
Journal of Inequalities and Applications, 2022 AbstractA thermostat model described by a second-order fractional difference equation is proposed in this paper with one sensor and two sensors fractional boundary conditions depending on positive parameters by using the Lipschitz-type inequality. By means of well-known contraction mapping and the Brouwer fixed-point theorem, we provide new results on ...
Jehad Alzabut +5 more
semanticscholar +4 more sources
On the Local Convergence of Two-Step Newton Type Method in Banach Spaces under Generalized Lipschitz Conditions [PDF]
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 +4 more
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Lipschitz-type conditions on homogeneous Banach spaces of analytic functions
Journal of Mathematical Analysis and Applications, 2017 Let \(\mathcal H(\mathbb D)\) be the space of all analytic functions on the unit disk \(\mathbb D \subset \mathbb C\) with the topology of uniform convergence on compact subsets of \(\mathbb D\).
Oscar Blasco, Georgios Stylogiannis
semanticscholar +3 more sources
Abstract and Applied Analysis, 2013 We first introduce the new real function class ℱ satisfying an implicit Lipschitz-type condition. Then, by using ℱ-type real functions, some common fixed point theorems for a pair of self-mappings satisfying an implicit Lipschitz-type condition in fuzzy ...
Ming-Liang Song, Xiu-Juan Zhu
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Lipschitz and Fourier type conditions with moduli of continuity in rank 1 symmetric spaces [PDF]
Monatshefte für Mathematik (Print), 2021 Sufficient and necessary results have been proven on Lipschitz type integral conditions and bounds of its Fourier transform for an L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
Arran Fernandez +2 more
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Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains [PDF]
, 2008 We study generalized Robin boundary conditions, Robin-to-Dirichlet maps, and Krein-type resolvent formulas for Schr\"odinger operators on bounded Lipschitz domains in $\bbR^n$, $n\ge 2$. We also discuss the case of bounded $C^{1,r}$-domains, $(1/2)
Fritz Gesztesy, Marius Mitrea
core +6 more sources
Researches in Mathematics, 2014 We obtain generalization of Hardy and Littlewood inclusion theorem for some classes of functions being integrable with a weight on $[-1;1]$.
S.V. Goncharov
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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.
S.V. Goncharov
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Mathematics, 2019 We present a local convergence of the combined Newton-Kurchatov method for solving Banach space valued equations. The convergence criteria involve derivatives until the second and Lipschitz-type conditions are satisfied, as well as a new center-Lipschitz-
Ioannis K. Argyros, Stepan Shakhno
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