Results 71 to 80 of about 9,818 (190)

Measure of noncompactness for an infinite system of fractional Langevin equation in a sequence space

Advances in Difference Equations, 2021
A new sequence space related to the space ℓ p $\ell _{p}$ , 1 ≤ p < ∞ $1\leq ...
Ahmed Salem, Hashim M. Alshehri, Lamya Almaghamsi   +2 more
doaj   +1 more source

Exact and Approximate Controllability for Backward Fractional Integro‐Differential Equations With History‐Dependent Operators

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper is devoted to the analysis of controllability for a class of backward fractional integro‐differential equations involving history‐dependent operators, which arise naturally in systems with memory effects. The study begins with the formulation of an appropriate functional framework, within which the concept of approximate controllability is ...
Ghadah Albeladi, Hasanen A. Hammad, Baowei Feng   +2 more
wiley   +1 more source

On the Domain of the Pell-Lucas Matrix in the Spaces c and c_0

Dera Natung Government College Research Journal
In this study, we introduce new Banach sequence spaces $c(\Theta), c_0(\Theta)$, defined via a regular infinite matrix $ \Theta = (\lambda_{nk})$, where \[ \Theta_{nk} = \begin{cases} \dfrac{2\lambda_k}{3\lambda_n+\lambda_{n-1}} & 0 \leq k \leq n ...
Shiva Shah
doaj   +1 more source

Bounded time computation on metric spaces and Banach spaces

, 2017
We extend the framework by Kawamura and Cook for investigating computational complexity for operators occurring in analysis. This model is based on second-order complexity theory for functions on the Baire space, which is lifted to metric spaces by means
Schröder, Matthias, Steinberg, Florian
core   +1 more source

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions

Journal of Approximation Theory, 2019
The main result of the article is the construction of an orthogonal trigonometric Schauder basis in the space of all continuous functions on the torus \(C(T^2)\) with the smallest growth of the polynomial degree. This is achieved by using ideas involving a dyadic anisotropic periodic multiresolution analysis.
Derevianko, Nadiia, Myroniuk, Vitalii, Prestin, Jürgen   +2 more
openaire   +3 more sources

Factorizations and minimality of the Calkin Algebra norm for C(K)$C(K)$‐spaces

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract For a scattered, locally compact Hausdorff space K$K$, we prove that the essential norm on the Calkin algebra B(C0(K))/K(C0(K))$\mathcal {B}(C_0(K))/\mathcal {K}(C_0(K))$ is a minimal algebra norm. The proof relies on establishing a quantitative factorization for the identity operator on c0$c_0$ through noncompact operators T:C0(K)→X$T: C_0(K)
Antonio Acuaviva
wiley   +1 more source

The g_E-Approximation Property Determined by the Banach Space E = ℓ_q(ℓ_p)

Mathematics
We study the gE-approximation property for the Banach space E=ℓq(ℓp), which is an extension of Saphar’s p-approximation property. We establish some characterizations of the gE-approximation property using the space of E-summing operators, which is an ...
Ju Myung Kim
doaj   +1 more source

A Schauder Basis for Multiparameter Persistence

Certain classes of multiparameter persistence modules may be encoded as signed barcodes, represented as points in a polyhedral subset of Euclidean space, we refer to as signed persistence diagrams. These signed persistence diagrams exist in the dual space of compactly supported, Lipschitz functionals on a polyhedral pair.
Bubenik, Peter, Ross, Zachariah
openaire   +2 more sources

A Schauder basis for $L_{1}(0,\infty)$ consisting of non-negative functions [PDF]

Illinois Journal of Mathematics, 2015
We construct a Schauder basis for $L_1$ consisting of non-negative functions and investigate unconditionally basic and quasibasic sequences of non-negative functions in $L_p$, $1\le p < \infty$.
Johnson, William B., Schechtman, Gideon
openaire   +4 more sources