Results 131 to 140 of about 130,034 (274)

Stability of the Cauchy-Jensen Functional Equation in -Algebras: A Fixed Point Approach

Fixed Point Theory and Applications, 2008
we prove the Hyers-Ulam-Rassias stability of -algebra homomorphisms and of generalized derivations on -algebras for the following Cauchy-Jensen functional equation , which was introduced and investigated by Baak (2006).
An JongSu, Park Choonkil
doaj  

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

On Bounds for Norms of Reparameterized ReLU Artificial Neural Network Parameters: Sums of Fractional Powers of the Lipschitz Norm Control the Network Parameter Vector

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2135-2160, 15 March 2026.
ABSTRACT It is an elementary fact in the scientific literature that the Lipschitz norm of the realization function of a feedforward fully connected rectified linear unit (ReLU) artificial neural network (ANN) can, up to a multiplicative constant, be bounded from above by sums of powers of the norm of the ANN parameter vector.
Arnulf Jentzen, Timo Kröger
wiley   +1 more source

Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2510-2531, 15 March 2026.
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin, Simone Nati Poltri, Clair Poignard   +2 more
wiley   +1 more source

Tests of Exponential Stabilization Through Floquet Theory and Act‐And‐Wait Control

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3303-3316, 15 March 2026.
ABSTRACT In this paper, we propose tests of exponential stability based on a version of the Floquet theory for delay differential equations of the first order. Our approach allows researchers to preserve the order of equation and to use the classical methods of the Floquet theory for ordinary differential equations.
Alexander Domoshnitsky, Tsahi Shavit
wiley   +1 more source

Fuzzy Stability of Quadratic Functional Equations

Advances in Difference Equations, 2010
The fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated by Moslehian et al.
Jang Sun-Young, Shin DongYun, Park Choonkil, Lee JungRye   +3 more
doaj  

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Ghost effect from Boltzmann theory

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito, Yan Guo, Rossana Marra, Lei Wu   +3 more
wiley   +1 more source

Simple 3‐Designs of PSL ( 2 , 2 n ) With Block Size 13

Journal of Combinatorial Designs, Volume 34, Issue 3, Page 119-138, March 2026.
ABSTRACT This paper focuses on the investigation of simple 3‐( 2 n + 1 , 13 , λ ) designs admitting PSL ( 2 , 2 n ) as an automorphism group. Such designs arise from the orbits of 13‐element subsets under the action of PSL ( 2 , 2 n ) on the projective line X = GF ( 2 n ) ∪ { ∞ }, and any union of these orbits also forms a 3‐design.
Takara Kondo, Yuto Nogata
wiley   +1 more source

Fixed Points and Hyers-Ulam-Rassias Stability of Cauchy-Jensen Functional Equations in Banach Algebras

Fixed Point Theory and Applications, 2007
We prove the Hyers-Ulam-Rassias stability of homomorphisms in real Banach algebras and of generalized derivations on real Banach algebras for the following Cauchy-Jensen functional equations: , , which were introduced and investigated by Baak (2006 ...
Park Choonkil
doaj