Results 51 to 60 of about 269 (133)
Hausdorff measure of noncompactness of certain matrix operators on absolute norlund spaces
, 2021 The absolute Norlund spaces vertical bar N-p(u)vertical bar(k), k >= 1, have more recently been introduced and studied by Hazar and Sargol [On absolute Norlund spaces and matrix operators, Acta Math. Sin. (Engl. Ser.), 34 (5) (2018), 812-826].
Sarigol, Mehmet Ali, Gulec, Canan Hazar
core
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 +3 more
wiley +1 more source
Some inequalities and superposition operator in the space of regulated functions
Advances in Nonlinear Analysis, 2019 Some inequalities connected to measures of noncompactness in the space of regulated function R(J, E) were proved in the paper. The inequalities are analogous of well known estimations for Hausdorff measure and the space of continuous functions.
Olszowy Leszek, Zając Tomasz
doaj +1 more source
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
Journal of Function Spaces, 2018 In this article, we prove the existence of solutions for the generalized Bagley-Torvik type fractional order differential inclusions with nonlocal conditions. It allows applying the noncompactness measure of Hausdorff, fractional calculus theory, and the
Lizhen Chen, Gang Li
doaj +1 more source
Compact operators on sequence spaces associated with the Copson matrix of order α
Journal of Inequalities and Applications, 2021 In this work, we study characterizations of some matrix classes ( C ( α ) ( ℓ p ) , ℓ ∞ ) $(\mathcal{C}^{(\alpha )}(\ell ^{p}),\ell ^{\infty })$ , ( C ( α ) ( ℓ p ) , c ) $(\mathcal{C}^{(\alpha )}(\ell ^{p}),c)$ , and ( C ( α ) ( ℓ p ) , c 0 ) $(\mathcal{
M. Mursaleen, Osama H. H. Edely
doaj +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13456-13474, 30 September 2025.ABSTRACT We present sufficient conditions to obtain a generalized (φ,D)$$ \left(\varphi, \mathfrak{D}\right) $$‐pullback attractor for evolution processes on time‐dependent phase spaces, where φ$$ \varphi $$ is a given decay function and D$$ \mathfrak{D} $$ is a given universe.
Matheus Cheque Bortolan +3 more
wiley +1 more source
Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1656-1702, September 2025.Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli +2 more
wiley +1 more source
Characterizations of compact operators on ℓp−type fractional sets of sequences
Demonstratio Mathematica, 2019 Among the sets of sequences studied, difference sets of sequences are probably the most common type of sets. This paper considers some ℓp−type fractional difference sets via the gamma function.
Özger Faruk
doaj +1 more source
Stabilizability of nonlinear infinite dimensional switched systems by measures of noncompactness in the space [PDF]
, 2017 This article studies the problem of stabilizability of nonlinear infinite dimensional switched systems. The switching rule is arbitrary and takes place between a countably infinite number of subsystems, each of which is represented by a differential ...
Radosław Zawiski, Zawiski, R
core +1 more source