Results 31 to 40 of about 4,822 (250)

The equivalent condition of G-asymptotic tracking property and G-Lipschitz tracking property

open access: yesOpen Mathematics, 2022
In this paper, we introduce the concepts of GG-Lipschitz tracking property and GG-asymptotic tracking property in metric GG-space and obtain the equivalent conditions of GG-asymptotic tracking property in metric GG-space.
Ji Zhanjiang
doaj   +1 more source

Lipschitz Stability in Terms of Two Measures for Kurzweil Equations and Applications

open access: yesMathematics, 2023
For generalized ordinary differential equations, sufficient criteria are given for the Lipschitz stability in terms of two measures of the trivial solutions.
Yingying Wang, Zhinan Xia
doaj   +1 more source

BSDEs with stochastic Lipschitz condition: A general result

open access: yesProbability, Uncertainty and Quantitative Risk, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Xinying, Lai, Yuru, Fan, Shengjun
openaire   +2 more sources

Conditional Lipschitz Shadowing for Ordinary Differential Equations

open access: yesJournal of Dynamics and Differential Equations, 2023
AbstractWe introduce the notion of conditional Lipschitz shadowing, which does not aim to shadow every pseudo-orbit, but only those which belong to a certain prescribed set. We establish two types of sufficient conditions under which certain nonautonomous ordinary differential equations have such a property.
Lucas Backes   +3 more
openaire   +3 more sources

A convergence analysis of an iterative algorithm of order \(1.839\ldots\) under weak assumptions

open access: yesJournal of Numerical Analysis and Approximation Theory, 2003
We provide new and weaker sufficient local and semilocal conditions for the convergence of a certain iterative method of order 1.839\(\ldots\) to a solution of an equation in a Banach space.
Ioannis K. Argyros
doaj   +2 more sources

A lower lipschitz condition for the stable subordinator [PDF]

open access: yesZeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1971
lim sup _ 1 ~ o oz ...
openaire   +3 more sources

Pinning Synchronization of One-Sided Lipschitz Complex Networks

open access: yesDiscrete Dynamics in Nature and Society, 2014
This paper studies the pinning synchronization in complex networks with node dynamics satisfying the one-sided Lipschitz condition which is less conservative than the well-known Lipschitz condition.
Fang Liu   +3 more
doaj   +1 more source

“It Is Much Safer to Be Sparse than Connected”: Safe Control of Robotic Swarm Density Dynamics with PDE Optimization with State Constraints

open access: yesAdvanced Intelligent Systems, EarlyView.
This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley   +1 more source

Developments on the Convergence Analysis of Newton-Kantorovich Method for Solving Nonlinear Equations

open access: yesEuropean Journal of Mathematical Analysis, 2023
Developments are presented for the semi-local convergence of Newton’s method to solve Banach space-valued nonlinear equations. By utilizing a new methodology, we provide a finer convergence analysis with no additional conditions than in earlier results ...
Samundra Regmi   +3 more
doaj   +1 more source

A goodness‐of‐fit test for regression models with discrete outcomes

open access: yesCanadian Journal of Statistics, EarlyView.
Abstract Regression models are often used to analyze discrete outcomes, but classical goodness‐of‐fit tests such as those based on the deviance or Pearson's statistic can be misleading or have little power in this context. To address this issue, we propose a new test, inspired by the work of Czado et al.
Lu Yang   +2 more
wiley   +1 more source

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