Results 91 to 100 of about 560,829 (251)

Discretization methods for nonconvex differential inclusions

Electronic Journal of Qualitative Theory of Differential Equations, 2009
We prove the existence of solutions for the differential inclusion $\dot x(t)\in F(t,x(t)) + f(t,x(t))$ for a multifunction $F$ upper semicontinuous with compact values contained in the generalized Clarke gradient of a regular locally Lipschitz function ...
M. Yarou
doaj   +1 more source

A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces

International Statistical Review, EarlyView.
Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri, Bernardo Nipoti, Emilio Porcu, Philip White   +3 more
wiley   +1 more source

Existence of fixed points on compact epilipschitz sets without invariance conditions

Fixed Point Theory and Applications, 2005
We provide a new result of existence of equilibria of a single-valued Lipschitz function f on a compact set K of ℝn which is locally the epigraph of a Lipschitz functions (such a set is called epilipschitz set).
Marc Quincampoix, Mikhail Kamenskii
doaj   +1 more source

LOCAL BI-LIPSCHITZ CLASSIFICATION OF SEMIALGEBRAIC SURFACES

Dalat University Journal of Science
We provide bi-Lipschitz invariants for finitely determined map germs f: (Kn, 0) → (Kp, 0), where K = R or C. The aim of the paper is to provide partial answers to the following questions: Does the bi-Lipschitz type of a map germ f: (Rn, 0) → (Rp, 0) determine the bi-Lipschitz type of the link of f and the double point set of f?
Jean-Paul Brasselet, Maria Aparecida Soares Ruas, Thuy Nguyen   +2 more
openaire   +3 more sources

Topologically, quasiconformally or Lipschitz locally flat approximation of embeddings

, 2001
Let CAT denote either the category LIP of locally bi-Lipschitz embeddings or the category LQC of locally quasiconformal embeddings. The following theorem consists of representative special cases of our main results: For range manifolds not of dimension 4,
Luukkainen, Jouni
core   +1 more source

Line Search Algorithms for Locally Lipschitz Functions on Riemannian Manifolds [PDF]

, 2016
This paper presents line search algorithms for finding extrema of locally Lipschitz functions defined on Riemannian manifolds. To this end we generalize the so-called Wolfe conditions for nonsmooth functions on Riemannian manifolds.
Yousefpour, Rohollah, Hosseini, Somayeh, Huang, Wen, S. Hosseini, R. Yousefpour, W. Huang   +5 more
core   +1 more source

Sequential Outlier Detection in Nonstationary Time Series

Journal of Time Series Analysis, EarlyView.
ABSTRACT A novel method for sequential outlier detection in nonstationary time series is proposed. The method tests the null hypothesis of “no outlier” at each time point, addressing the multiple testing problem by bounding the error probability of successive tests, using extreme‐value theory. The asymptotic properties of the test statistic are studied
Florian Heinrichs, Patrick Bastian, Holger Dette   +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  

Testing Distributional Granger Causality With Entropic Optimal Transport

Journal of Time Series Analysis, EarlyView.
ABSTRACT We develop a novel nonparametric test for Granger causality in distribution based on entropic optimal transport. Unlike classical mean‐based approaches, the proposed method directly compares the full conditional distributions of a response variable with and without the history of a candidate predictor.
Tao Wang
wiley   +1 more source

Exponential Bounds for the Density of the Law of the Solution of an SDE with Locally Lipschitz Coefficients

Mathematics
Under the uniform Hörmander hypothesis, we study the smoothness and exponential bounds of the density of the law of the solution of a stochastic differential equation (SDE) with locally Lipschitz drift that satisfies a monotonicity condition.
Cristina Anton
doaj   +1 more source