Results 41 to 50 of about 519,001 (206)

A Symbolic Method for Solving a Class of Convolution-Type Volterra–Fredholm–Hammerstein Integro-Differential Equations under Nonlocal Boundary Conditions

Algorithms, 2023
Integro-differential equations involving Volterra and Fredholm operators (VFIDEs) are used to model many phenomena in science and engineering. Nonlocal boundary conditions are more effective, and in some cases necessary, because they are more accurate ...
Efthimios Providas, Ioannis Nestorios Parasidis   +1 more
doaj   +1 more source

A metric approach to limit operators

, 2017
We extend the limit operator machinery of Rabinovich, Roch, and Silbermann from Z^N to (bounded geometry, strongly) discrete metric spaces. We do not assume the presence of any group structure or action on our metric spaces.
Spakula, Jan, Willett, Rufus
core   +1 more source

Perturbation Results on Semi-Fredholm Operators and Applications

Journal of Inequalities and Applications, 2009
We give some results concerning stability in the Fredholm operators and Browder operators set, via the concept of measure of noncompactness. Moreover, we prove some localization results on the essential spectra of bounded operators on Banach space.
Boulbeba Abdelmoumen, Hamadi Baklouti
doaj   +2 more sources

Unbounded generalized B-Fredholm operators

Extracta Mathematicae
In this paper, we investigate a new class of unbounded linear operators, that is, the unbounded generalized B-Fredholm operators in Banach space. More explicitly, we provide a characterization of this class of operators and some of its basic properties ...
M. Boudhief
doaj   +1 more source

Factorization of Fredholm operators

Matematychni Studii, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Grothendieck and ℓ∞$\ell _\infty$‐Grothendieck Subspaces of ℓ∞$\ell _\infty$

Mathematische Nachrichten, EarlyView.
ABSTRACT Let c=2ℵ0$\mathfrak {c}=2^{\aleph _0}$. We prove that ℓ∞$\ell _\infty$ contains 2c$2^{\mathfrak {c}}$ pairwise non‐isomorphic non‐reflexive Grothendieck subspaces. They may all be chosen to contain the canonical copy of c0$c_0$ and to have an infinite‐dimensional reflexive quotient. This is optimal and answers Problem 24 of González and Kania [
Manuel González, Tomasz Kania
wiley   +1 more source

Tauberian operators in p-adic analysis

International Journal of Mathematics and Mathematical Sciences, 2000
In archimedean analysis Tauberian operators and operators having property N were defined by Kalton and Wilansky (1976). We give several characterizations of p-adic Tauberian operators and operators having property N in terms of basic sequences.
Takemitsu Kiyosawa
doaj   +1 more source

Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion

Mathematische Nachrichten, EarlyView.
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng, Hao Shen, Ranchao Wu, Hao Wang   +3 more
wiley   +1 more source

Toeplitz operators and Wiener-Hopf factorisation: an introduction

Concrete Operators, 2017
Wiener-Hopf factorisation plays an important role in the theory of Toeplitz operators. We consider here Toeplitz operators in the Hardy spaces Hp of the upper half-plane and we review how their Fredholm properties can be studied in terms of a Wiener-Hopf
Câmara M. Cristina
doaj   +1 more source

Multiplication Operators on Cesàro Sequence Spaces

Demonstratio Mathematica, 2016
In this paper we characterize the compact, invertible and Fredholm multiplication operators on Cesàro sequence spaces.
Komal B. S., Pandoh Suruchi, Raj Kuldip
doaj   +1 more source