Results 31 to 40 of about 39,546 (135)

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

On a new approach to the study of plane boundary-value problems

Доповiдi Нацiональної академiї наук України
We give a short description of our recent results obtained by a new approach to the boundary-value problems, such as the Dirichlet, Hilbert, Neumann, Poincaré and Riemann problems, for the Beltrami equations and for analogs of the Laplace equation in ...
V.Ya. Gutlyanskiĭ, V.I. Ryazanov, A.S. Yefimushkin   +2 more
doaj   +1 more source

Convergent Interpolation to Cauchy Integrals over Analytic Arcs with Jacobi-Type Weights [PDF]

, 2009
We design convergent multipoint Pade interpolation schemes to Cauchy transforms of non-vanishing complex densities with respect to Jacobi-type weights on analytic arcs, under mild smoothness assumptions on the density. We rely on our earlier work for the
Baratchart, Laurent, Yattselev, Maxim
core   +2 more sources

Band‐Pass Filtering With High‐Dimensional Time Series. A Synthetic Indicator of the Medium‐to‐Long Run Component of Growth

Journal of Time Series Analysis, EarlyView.
ABSTRACT The paper deals with the construction of a synthetic indicator of economic growth, obtained by projecting a quarterly measure of aggregate economic activity, namely gross domestic product (GDP), into the space spanned by a finite number of smooth principal components, representative of the medium‐to‐long‐run component of economic growth of a ...
Alessandro Giovannelli, Marco Lippi, Tommaso Proietti   +2 more
wiley   +1 more source

Riemann–Hilbert technique scattering analysis of metamaterial-based asymmetric 2D open resonators

EPJ Applied Metamaterials, 2017
The scattering properties of metamaterial-based asymmetric two-dimensional open resonators excited by an electric line source are investigated analytically.
Kamiński Piotr M., Ziolkowski Richard W., Arslanagić Samel   +2 more
doaj   +1 more source

Change Point Analysis for Functional Data Using Empirical Characteristic Functionals

Journal of Time Series Analysis, Volume 47, Issue 3, Page 612-631, May 2026.
ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth, Gregory Rice, Jeremy VanderDoes   +2 more
wiley   +1 more source

Dynamical Behavior Analysis of Generalized Chen–Lee–Liu Equation via the Riemann–Hilbert Approach

Fractal and Fractional
In this paper, we investigate the dynamics of the generalized Chen–Lee–Liu (gCLL) equation utilizing the Riemann–Hilbert method to derive its N-soliton solution.
Wenxia Chen, Chaosheng Zhang, Lixin Tian
doaj   +1 more source

Riemann-Hilbert problem for the small dispersion limit of the KdV equation and linear overdetermined systems of Euler-Poisson-Darboux type

, 2001
We study the Cauchy problem for the Korteweg de Vries (KdV) equation with small dispersion and with monotonically increasing initial data using the Riemann-Hilbert (RH) approach.
?abat, Beals, Bender, Cohen, Deift, Deift, Deift, Dubrovin, Dubrovin, El, El, Fay, Flaschka, Grava, Grava, Gurevich, Gurevich, Kappeler, Krichever, Kudashev, Kuijlaars, Lax, Levermore, Muskhelishvili, Springer, Tian, Tian, Tsarëv, Venakides, Venakides, Whitham, Zverovich   +31 more
core   +1 more source

Elucidating the Physical and Mathematical Properties of the Prouhet‐Thue‐Morse Sequence in Quantum Computing

Annalen der Physik, Volume 538, Issue 4, April 2026.
The Prouhet‐Thue‐Morse (PTM) sequence emerges as a unifying thread across quantum error correction, noise‐resistant memories, spin‐chain dynamics, quantum chaos, and Dirichlet links to the Riemann zeta function. Mapping PTM‐encoded logical states onto qubit and qudit architectures uncovers symmetry‐protected resilience and multifractal signatures ...
Denis Janković, Rémi Pasquier, Jean‐Gabriel Hartmann, Paul‐Antoine Hervieux   +3 more
wiley   +1 more source

Solitonic asymptotics for the Korteweg-de Vries equation in the small dispersion limit

, 2009
We study the small dispersion limit for the Korteweg-de Vries (KdV) equation $u_t+6uu_x+\epsilon^{2}u_{xxx}=0$ in a critical scaling regime where $x$ approaches the trailing edge of the region where the KdV solution shows oscillatory behavior.
Claeys T., Deift P., Fujiié S., Gurevich A.G., Mo M.Y., Tamara Grava, Tom Claeys, Tsarev S.P.   +7 more
core   +1 more source