Results 71 to 80 of about 24,678 (193)

Stability of quartic functional equations in 2-Banach space

International Journal of Mathematical Analysis, 2013
Summary: In this paper, we investigate the generalized Hyers-Ulam stability of the functional equation \[ f(2x+y)+f(2x-y)=4f(x+y)+4f(x-y)+24f(x)-6f(y) \] in 2-Banach space.
Patel, B. M., Patel, A. B.
openaire   +1 more source

Triggered Ferroelectricity in HfO2 From Hybrid Phonons and Higher‐Order Dynamical Charges

Advanced Materials, Volume 38, Issue 19, 1 April 2026.
We combine first‐principles calculations, LGD theory and group theory to demonstrate the mechanism of hybrid‐triggered ferroelectricity in HfO2${\rm HfO}_2$, enabled by trilinear and quadlinear couplings between stable polar and nonpolar modes. HfO2${\rm HfO}_2$ hosts unconventional interplay between structure modes where substantial contribution to ...
Seongjoo Jung, Turan Birol
wiley   +1 more source

Path-integral quantization of Galilean Fermi fields

, 2015
The Galilei-covariant fermionic field theories are quantized by using the path-integral method and five-dimensional Lorentz-like covariant expressions of non-relativistic field equations.
Abreu, Abrikosov, Banks, Bazeia, Crawford, Crawford, Das, de Montigny, de Montigny, de Montigny, de Montigny, de Montigny, del Olmo, Duval, Duval, Duval, Duval, Duval, Duval, F.C. Khanna, F.M. Saradzhev, Fetter, Greiner, Hassaïne, Hassaïne, Horvathy, Horvathy, Horvathy, Horzela, Horzela, Jackiw, Jackiw, Jackiw, Jackiw, Jackiw, Kapuścik, Kapuścik, Kapuścik, Kogut, Kogut, Künzle, Le Bellac, Lifshitz, Lukierski, Lévy-Leblond, Lévy-Leblond, M. de Montigny, Nambu, Nambu, Omote, Peskin, Pinski, Santos, Santos, Soper, Susskind, Takahashi, Takahashi, Tsvelik, Weinberg, Weinberg, Zwiebach   +61 more
core   +1 more source

Hyers-Ulam stability of an \(n\)-variable quartic functional equation

AIMS Mathematics, 2021
In this note we investigate the general solution for the quartic functional equation of the form $\left(n\in \mathbb{N}, \, \, n > 4 \right)$ and also investigate the Hyers-Ulam stability of the quartic functional equation in random normed spaces using the direct approach and the fixed point approach.
Vediyappan Govindan, Inho Hwang, Choonkil Park   +2 more
openaire   +2 more sources

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory

, 2013
We review equivalent formulations of nonlinear and higher derivatives theories of electromagnetism exhibiting electric-magnetic duality rotations symmetry.
E Cremmer, E Cremmer, E Cremmer, MK Gaillard, S Cecotti, S Deser, S Ferrara, SM Kuzenko, SV Ketov   +8 more
core   +1 more source

Approximate mixed type additive and quartic functional equation

Boletim da Sociedade Paranaense de Matemática, 2017
In the current work, we introduce a general form of a mixed additive and quartic functional equation. We determine all solutions of this functional equation. We also establish the generalized Hyers-Ulam stability of this new functional equation in quasi-$\beta$-normed spaces.
openaire   +4 more sources

Global Spatial and Temporal Variability of the Oceanic Cool Skin Effect

Journal of Geophysical Research: Oceans, Volume 131, Issue 4, April 2026.
Abstract The oceanic cool skin effect is characterized by a temperature depression between the ocean's submillimeter thermal skin layer (SSTskin) and the underlying water (SSTdepth). This study evaluates the ability of the widely used Fairall et al. (1996), https://doi.org/10.1029/95jc03190 model (F96) to simulate the cool skin effect using surface ...
Chong Jia, Peter J. Minnett
wiley   +1 more source

New Stability Results of Multiplicative Inverse Quartic Functional Equations

Turkish Journal of Computer and Mathematics Education (TURCOMAT), 2021
The purpose of this investigation is to introduce different forms of multiplicative inverse functional equations, to solve them and to establish the stability results of them in the framework of matrix normed spaces. A suitable counter-example is also provided to prove the instability of the results for a singular case.
openaire   +1 more source

Bifurcation Analysis of a Resource–Consumer System With Explicit Spatiotemporal Memory

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT In ecological systems, animal movement is often influenced by memory and spatial cognition, especially in advanced species. This paper investigates the dynamics of a diffusive resource–consumer model incorporating explicit spatiotemporal distributed memory, where memory effects are modeled as distributed delays in both time and space.
Luhong Ye, Hao Wang
wiley   +1 more source