Results 151 to 160 of about 3,258,064 (367)

Boundary Value Problems for the Perturbed Dirac Equation

Axioms
The perturbed Dirac operators yield a factorization for the well-known Helmholtz equation. In this paper, using the fundamental solution for the perturbed Dirac operator, we define Cauchy-type integral operators (singular integral operators with a Cauchy
Hongfen Yuan, Guohong Shi, Xiushen Hu
doaj   +1 more source

Characterization of Besov spaces with dominating mixed smoothness by differences

Mathematische Nachrichten, EarlyView.
Abstract Besov spaces with dominating mixed smoothness, on the product of the real line and the torus as well as bounded domains, are studied. A characterization of these function spaces in terms of differences is provided. Applications to random fields, like Gaussian fields and the stochastic heat equation, are discussed, based on a Kolmogorov ...
Paul Nikolaev, David J. Prömel, Mathias Trabs   +2 more
wiley   +1 more source

Kalman and Cauchy clustering for anomaly detection based authentication of IoMTs using extreme learning machine

IET Communications, EarlyView., 2022
Abstract The vulnerabilities of the Internet of Things (IoTs) in general and the Internet of Mobile Things (IoMTs) in particular motivate researchers to equip them with security systems against intruders and attacks. The integration of anomaly detection with intrusion detection for IoMTs has not been addressed adequately.
Tamara Saad Mohamed, Sezgin Aydin, Ahmed Alkhayyat, Rami Q. Malik   +3 more
wiley   +1 more source

Sur l'\'equation fonctionnelle de Cauchy pour les matrices [PDF]

, 1962
Par Akira KUWAGAKI
openalex   +1 more source

Solvent and Ion‐Mediated Behavior of a Thermoresponsive Brush: Specific Ion Effects in Methanol‐Water Electrolytes

Macromolecular Rapid Communications, EarlyView.
The manifestation of specific ion effects in methanol‐water mixtures on polymer brush exemplars is explored. Spectroscopic ellipsometry and neutron reflectometry revealed solvent‐driven LCST changes in a thermoresponsive brush, which is also readily influenced by the presence of electrolytes.
Hayden Robertson, Joshua D. Willott, Andrew R.J. Nelson, Stuart W. Prescott, Erica J. Wanless, Grant, B. Webber   +6 more
wiley   +1 more source

On difference methods for the solution of a Cauchy problem for a hyperbolic equation with data on a parabolic line [PDF]

, 1961
Hajimu Ogawa
openalex   +1 more source

Cauchy problem for p-evolution equations

Bulletin des Sciences Mathématiques, 2002
AbstractWe consider p-evolution equations with real characteristics. We give a condition, on the lower order terms, that is sufficient for well-posedness of the Cauchy problem in Sobolev spaces.
openaire   +3 more sources

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Uniqueness of the Cauchy Problem for Linear Partial Differential Equations with Variable Coefficients [PDF]

, 1969
E. C. Zachmanoglou
openalex   +1 more source

A HYPERSTABILITY RESULT FOR THE CAUCHY EQUATION

Bulletin of the Australian Mathematical Society, 2013
J. Brzdȩk
semanticscholar   +1 more source