Results 51 to 60 of about 1,163,773 (213)

Convolution Algebraic Structures Defined by Hardy-Type Operators

Journal of Function Spaces and Applications, 2013
The main aim of this paper is to show that certain Banach spaces, defined via integral kernel operators, are Banach modules (with respect to some known Banach algebras and convolution products on ℝ+).
Pedro J. Miana, Juan J. Royo, Luis Sánchez-Lajusticia   +2 more
doaj   +1 more source

Fragmentation–Coagulation Processes With Advection or Diffusion in Space

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley   +1 more source

Non-solid cone b-metric spaces over Banach algebras and fixed point results of contractions with vector-valued coefficients

Open Mathematics, 2023
In this article, without requiring solidness of the underlying cone, a kind of new convergence for sequences in cone bb-metric spaces over Banach algebras and a new kind of completeness for such spaces, namely, wrtn-completeness, are introduced.
Xu Shaoyuan, Cheng Suyu, Han Yan
doaj   +1 more source

On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
wiley   +1 more source

Fixed Point Technique: Stability Analysis of Quadratic Functional Equation in Various Quasi-Banach Spaces

Journal of Mathematics
In this present work, we derive the solution of a quadratic functional equation and investigate the Ulam stability of this equation in Banach spaces using fixed point and direct techniques.
Kandhasamy Tamilvanan, Faruk Özger, S. A. Mohiuddine, Naeem Ahmad, Masho Jima Kabeto   +4 more
doaj   +1 more source

Intersection Properties of Balls in Banach Spaces

Journal of Function Spaces and Applications, 2013
We introduce a weaker notion of central subspace called almost central subspace, and we study Banach spaces that belong to the class (GC), introduced by Veselý (1997). In particular, we prove that if is an almost central subspace of a Banach space such
C. R. Jayanarayanan
doaj   +1 more source

On $T$-orthogonality in Banach spaces

Colloquium Mathematicum, 2023
Let $\mathbb{X}$ be a Banach space and let $\mathbb{X}^*$ be the dual space of $\mathbb{X}.$ For $x,y \in \mathbb{X},$ $ x$ is said to be $T$-orthogonal to $y$ if $Tx(y) =0,$ where $T$ is a bounded linear operator from $\mathbb{X}$ to $\mathbb{X}^*.$ We study the notion of $T$-orthogonality in a Banach space and investigate its relation with the ...
Sain, Debmalya, Ghosh, Souvik, Paul, Kallol   +2 more
openaire   +2 more sources

An All‐At‐Once Solver for Visco‐Acoustic Full Waveform Inversion in the Time‐Domain

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Full waveform inversion (FWI) is the cutting‐edge seismic imaging technique used to reconstruct subsurface material properties such as wave velocities, mass density, and attenuation from measurements of reflected wavefields. In this article, we present the first implementation of FWI in the visco‐acoustic regime, based on a new time‐domain all‐
Christian Rheinbay, Andreas Rieder
wiley   +1 more source

Observations on the Separable Quotient Problem for Banach Spaces

Axioms, 2020
The longstanding Banach−Mazur separable quotient problem asks whether every infinite-dimensional Banach space has a quotient (Banach) space that is both infinite-dimensional and separable.
Sidney A. Morris, David T. Yost
doaj   +1 more source

Existence and Stability Analysis of Classical and Fractional‐Order Generalized Brusselator Reaction‐Diffusion System

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The present work is devoted to establishing existence results and examining the stability properties of solutions associated with a generalized Brusselator reaction–diffusion system in both the classical and fractional‐order settings. The corresponding ODE and PDE formulations are considered to establish the global existence of solutions in ...
Fadia Haouam, Lamia Djebara, Salem Abdelmalek, Mokhtar Kirane   +3 more
wiley   +1 more source