Results 61 to 70 of about 513,304 (193)

Der Satz von Hahn-Banach per Disjunktionselimination [PDF]

, 2019
The Hahn-Banach extension theorem is at once main pillar of functional analysis and — due to its notorious nature as consequence of the axiom of choice — prime example of a pure existential statement. By way of a general syntactic conservation result for
Konstantin Schlagbauer, Schlagbauer, Konstantin, Daniel Wessel, Peter Schuster, Wessel, Daniel, Schuster, Peter   +5 more
core   +2 more sources

Ramified Asymptotic Expansions for Some Linear Initial Value Problem With Mahler Transforms

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
We focus on a linear partial differential initial value problem in complex time t and complex space combined with time acting Mahler transforms. Bounded holomorphic solutions on bounded sectors edged at the origin in time and on horizontal strips in space are constructed by means of infinite sums of Fourier–Laplace transforms.
Stéphane Malek, Deepali Deepali
wiley   +1 more source

Uniformly Continuous Functionals and Operators Commuting with Lebesgue–Fourier Algebras

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Let G be a locally compact group. This paper investigates the space of uniformly continuous functionals associated with the Lebesgue–Fourier algebra on G. Our aim is to describe the dual of this space in terms of bounded operators on the dual of the Lebesgue–Fourier algebra that commute with the natural module action, and to determine exactly when this
Maryam Esfandani, Mehdi Rostami, Feras Yousef   +2 more
wiley   +1 more source

On ℬ‐Analog of the Sumudu Transform Associated With the General Quantum ℬ‐Difference Operator

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We present here a B‐analog of the Sumudu transform defined via a general quantum B‐difference operator which generalizes classical difference operators in the context of quantum calculus, is employed to study the proposed problem. We explore the core characteristics of the B‐Sumudu transform and illustrate its applications in solving B‐initial value ...
Karima M. Oraby, Youssri Hassan Youssri, Smritijit Sen   +2 more
wiley   +1 more source

Analytical method for solving linear abstract differential equations of order n

Partial Differential Equations in Applied Mathematics
In this paper, the concept of point-wise independent set of closed operators is introduced. The new concept together with the use of Hahn–Banach Theorem enable us to reduce an inhomogeneous linear abstract differential equation of order n namely, Anu(n ...
Waseem Ghazi Alshanti, Ma’mon Abu Hammad, Ahmad Alshanty, Roshdi Khalil   +3 more
doaj   +1 more source

On Hermite–Hadamard Inequalities for Generalized Quantum Interval Calculus

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we develop the theory of β,gH‐calculus for interval‐valued functions by combining the β‐functions with the generalized Hukuhara difference. Within this framework, we establish various properties related to β,gH‐differentiation and β,gH‐integration.
Muhammad Umer Azam, Awais Younus, Muhammad Asif, Cemil Tunç, Smritijit Sen   +4 more
wiley   +1 more source

Existence, Uniqueness, Stability, and Numerical Solution of Second‐Order Quantum Difference Equations: A General Approach via the Riccati Method and Chebyshev Collocation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the stability and numerical solution of second‐order linear nonhomogeneous equations with the general quantum B‐difference operator. We prove Hyers–Ulam stability (HU s) and Hyers–Ulam–Rassias stability (HUR s) for these equations using a Riccati equation approach and variation of parameters technique.
Karima M. Oraby, Amna Mohamed, Youssri Hassan Youssri, Smritijit Sen   +3 more
wiley   +1 more source

The Hahn Banach theorem in convex programming

, 2022
Separation theorems are the fundamentals of convex programming.They are important consequences of Hahn-Banach theorem. This work begins considering vector spaces, in broad sense, then normed spaces and finally Hilbert spaces. It ends with the application
Ferreira, M.
core  

Weak solutions for a singular beam equation

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 12, December 2025.
Abstract This paper deals with a dynamic Gao beam of infinite length subjected to a moving concentrated Dirac mass. Under appropriate regularity assumptions on the initial data, the problem possesses a weak solution which is obtained as the limit of a sequence of solutions of regularized problems.
Olena Atlasiuk, Arnaud Heibig, Adrien Petrov   +2 more
wiley   +1 more source

HAHN-BANACH THEOREM AS A CHOICE PRINCIPLE

, 2004
El teorema de Hahn–Banach implica el axioma de elección para familias de conjuntos convexos cerrados en espacios reflexivos y para familias más generales de convexos en espacios localmente convexos.
Enciso, Germán, Caicedo, Xavier
core   +1 more source