Results 41 to 50 of about 1,424 (201)

On the operator equations ABA = A2 and BAB = B2 on non-Archimedean Banach spaces

Topological Algebra and its Applications, 2023
Let XX and YY be non-Archimedean Banach spaces over K{\mathbb{K}}, A∈B(X,Y)A\in B\left(X,Y) and B∈B(Y,X)B\in B\left(Y,X) such that ABA=A2ABA={A}^{2} and BAB=B2.BAB={B}^{2}.
Ettayb Jawad
doaj   +1 more source

Approximation of two general functional equations in 2-Banach spaces

Journal of Mathematical Inequalities, 2023
The authors study the Ulam stability and hyperstability of two general functional equations in several variables in 2-Banach spaces, thus improving \textit{K. Ciepliński}'s result [J. Fixed Point Theory Appl. 23, No. 3, Paper No. 33, 14 p. (2021; Zbl 1473.39047)] and their consequences.
Park, Choonkil, Najati, Abbas, Moghimi, Mohammad B., Noori, Batool   +3 more
openaire   +1 more source

Uniqueness for Neumann Problems for Nonlinear Elliptic Equations With Lower Order Terms

Mathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we prove uniqueness results for weak solutions to a class of Neumann problems, whose prototype is λ(1+u2)(p−2)/2u−div((1+|∇u|2)(p−2)/2∇u)−div(c(x)(1+|u|2)(τ+1)/2)+b(x)(1+|∇u|2)(σ+1)/2=finΩ(1+|∇u|2)(p−2)/2∇u+c(x)(1+|u|2)(τ+1)/2)·n̲=0on∂Ω,$$\begin{equation*} {\begin{cases} {}\lambda {(1+ u^2)}^{(p-2)/2}u-{\operatorname{div}}({(1+|\
Maria Francesca Betta, Olivier Guibé, Anna Mercaldo, Maria Rosaria Posteraro   +3 more
wiley   +1 more source

Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different Methods

Journal of Function Spaces, 2022
This paper introduces a new dimension of an additive functional equation and obtains its general solution. The main goal of this study is to examine the Ulam stability of this equation in IFN-spaces (intuitionistic fuzzy normed spaces) with the help of ...
N. Uthirasamy, K. Tamilvanan, Masho Jima Kabeto   +2 more
doaj   +1 more source

On Approximate Multi-Cubic Mappings in 2-Banach Spaces

Symmetry
The present article presents a system of symmetric equations defining multi-cubic mappings (M-CMs). Next, we describe how these mappings are structured and obtain an equation for describing them. Moreover, we Address the Hyers-Ulam stability (H-UStab) in the sense of Găvruţa for a symmetric multi-cubic equation through the application of the so-called ...
El-Sayed El-Hady, Ghazyiah Alsahli, Abasalt Bodaghi, Mehdi Dehghanian   +3 more
openaire   +1 more source

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

Mathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source

Fixed Point for Asymptotically Non-Expansive Mappings in 2-Banach Space

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
  In  this  paper, we  introduced   some  fact  in   2-Banach  space. Also, we define  asymptotically  non-expansive  mappings  in  the  setting  of  2-normed  spaces analogous  to  asymptotically non-expansive mappings  in  usual  normed spaces.
Salwa S. Abed, Rafah S. Abed Ali
doaj  

STABILITY OF QUADRATIC MAPPINGS IN A NON-ARCHIMEDEAN 2-BANACH SPACES AND RELATED TOPICS

, 2022
ABSTRACT In this paper, we investigate Hyers-Ulam-Rassias stability of the following quadratic functional equation:  in a non Archimedean 2-Banach spaces, and we prove the generalized Hyers-Ulam stability of functional quadratic functional equation in a non Archimedean 2-Banach spaces.
Fadi S. Abu Zenada, Eltayeb A. Abed Elmaged   +1 more
openaire   +3 more sources

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

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source