Results 121 to 130 of about 67,051 (221)

Moderate Deviation Principles for Lacunary Trigonometric Sums

Mathematische Nachrichten, Volume 299, Issue 5, Page 1028-1044, May 2026.
ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
wiley   +1 more source

Gradual Changes in Functional Time Series

Journal of Time Series Analysis, Volume 47, Issue 3, Page 632-650, May 2026.
ABSTRACT We consider the problem of detecting gradual changes in the sequence of mean functions from a not necessarily stationary functional time series. Our approach is based on the maximum deviation (calculated over a given time interval) between a benchmark function and the mean functions at different time points.
Patrick Bastian, Holger Dette
wiley   +1 more source

Nonparametric Detection of a Time‐Varying Mean

Journal of Time Series Analysis, Volume 47, Issue 3, Page 597-611, May 2026.
ABSTRACT We propose a nonparametric portmanteau test for detecting changes in the unconditional mean of a univariate time series which may display either long or short memory. Our approach is designed to have power against, among other things, cases where the mean component of the series displays abrupt level shifts, deterministic trending behaviour ...
Fabrizio Iacone, A. M. Robert Taylor
wiley   +1 more source

Boundary unique continuation in planar domains by conformal mapping

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
wiley   +1 more source

Two Positive Solutions for Elliptic Differential Inclusions

AppliedMath
The existence of two positive solutions for an elliptic differential inclusion is established, assuming that the nonlinear term is an upper semicontinuous set-valued mapping with compact convex values having subcritical growth.
Gabriele Bonanno, Valeria Morabito, Donal O’Regan, Bruno Vassallo   +3 more
doaj   +1 more source

Continuity of the solutions sets for parametric set optimization problems

Journal of Inequalities and Applications
The current study focuses on exploring the stability of solution sets pertaining to set optimization problems, particularly with regard to the set order relation outlined by Karaman et al. 2018.
Manli Yang, Taiyong Li, Guanghui Xu
doaj   +1 more source

Infinitely Many Solutions for a Boundary Value Problem with Discontinuous Nonlinearities

Boundary Value Problems, 2009
The existence of infinitely many solutions for a Sturm-Liouville boundary value problem, under an appropriate oscillating behavior of the possibly discontinuous nonlinear term, is obtained. Several special cases and consequences are pointed out and some
doaj   +1 more source

Local Lipschitz continuity in the initial value and strong completeness for nonlinear stochastic differential equations

Recently, Hairer et. al (2012) showed that there exist SDEs with infinitely often differentiable and globally bounded coefficient functions whose solutions fail to be locally Lipschitz continuous in the strong L^p-sense with respect to the initial value ...
Cox, Sonja, Hutzenthaler, Martin, Jentzen, Arnulf   +2 more
core  

An existence result for hemivariational inequalities

Electronic Journal of Differential Equations, 2004
We present a general method for obtaining solutions for an abstract class of hemivariational inequalities. This result extends many results to the nonsmooth case. Our proof is based on a nonsmooth version of the Mountain Pass Theorem with Palais-Smale or
Zsuzsanna Dalyay, Csaba Varga
doaj  

Distributional Sectional Curvature Bounds for Riemannian Metrics of Low Regularity. [PDF]

J Geom Anal
Erös D, Kunzinger M, Ohanyan A, Vardabasso A.   +3 more
europepmc   +1 more source