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 ...
J. 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 A 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.
J. Alzabut +5 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 \(\mathbb D\).
Ó. Blasco, G. Stylogiannis
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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, J. P. Jaiswal
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Abstract and Applied Analysis, 2013 We first introduce the new real function class satisfying an implicit Lipschitz-type condition. Then, by using -type real functions, some common fixed point theorems for a pair of self-mappings satisfying an implicit Lipschitz-type condition in fuzzy ...
Mingliang Song, Xiujuan Zhu
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A compactness result for the div-curl system with inhomogeneous mixed boundary conditions for bounded Lipschitz domains and some applications [PDF]
Annali dell?Università di Ferrara, 2021 For a bounded Lipschitz domain with Lipschitz interface we show the following compactness theorem : Any $$\mathsf {L}_{}^{2}$$ L 2 -bounded sequence of vector fields with $$\mathsf {L}_{}^{2}$$ L 2 -bounded rotations and $$\mathsf {L}_{}^{2}$$ L 2 ...
Dirk Pauly, Nathanael Skrepek
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Lipschitz Stability and Hadamard Directional Differentiability for Elliptic and Parabolic Obstacle-Type Quasi-variational Inequalities [PDF]
SIAM Journal of Control and Optimization, 2021 This paper is concerned with the sensitivity analysis of a class of parameterized fixed-point problems that arise in the context of obstacle-type quasi-variational inequalities.
C. Christof, G. Wachsmuth
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Mathematics, 2022 As is known to all, Lipschitz condition, which is very important to guarantee existence and uniqueness of solution for differential equations, is not frequently satisfied in real-world problems.
Fan Zhang, H. Lan, Haina Xu
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Common fixed points under Lipschitz type condition [PDF]
Kathmandu University Journal of Science, Engineering and Technology, 1970 The present paper is aimed at obtaining common fixed point theorems for a pair of selfmaps satisfying nonexpansive or Lipschitz type condition by using the notion of pointwise R- weak commutativity but without assuming the completeness of the space or continuity of the mappings involved. Mathematics Subject Classification: 54 H 25.
openaire +2 more sources
Elliptic fourth-order operators with Wentzell boundary conditions on Lipschitz domains [PDF]
Journal of evolution equations (Printed ed.)For bounded domains Ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document ...
D. Ploss
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