TY  - Type of reference 
TI  - [FORTHCOMING] Measure zero stability problem for multi-dimensional cubic functional equations 
AU  - Abasalt Bodaghi 
AB  - This work aims to present a novel fashion of the multi-dimensional cubic functional equations and to investigate its Hyers-Ulam stability in the setting of Banach spaces on the restricted domains under a condition as (C). Moreover, a subset $$$\Omega\subset\mathbb R^d$$$ of Lebesgue measure zero satisfying the mentioned condition is constructed. Lastly, applying this construction and by means of the Baire category theorem, an asymptotic behavior for an approximate solution of the d-dimension cubic functional equations on real numbers, is presented. 
DO  - TBA 
JF  - Advances in Pure and Applied Mathematics 
KW  - space, Hyers-Ulam stability, Lebesgue measure zero, multi-dimensional cubic mapping, space, Hyers-Ulam stability, Lebesgue measure zero, multi-dimensional cubic mapping,  
L1  -  
LA  - en 
PB  - ISTE OpenScience 
DA  - 2026/09/21 
SN  - 1869-6090 
TT  - [FORTHCOMING] Problème de stabilité presque partout pour les équations fonctionnelles cubiques multidimensionnelles  
UR  - https://www.openscience.fr/Measure-zero-stability-problem-for-multi-dimensional-cubic-functional-equations 
IS  - Forthcoming papers<br> 
VL  -  
ER  -