Results 61 to 70 of about 813 (141)

Characterizations of compact operators on ℓp−type fractional sets of sequences

open access: yesDemonstratio 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

Uniform Asymptotic Stability of a PDE'S System Arising From a Flexible Robotics Model

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11242-11251, 30 July 2025.
ABSTRACT In this paper, we investigate the uniform asymptotic stability of a fourth‐order partial differential equation with a fading memory forcing term and boundary conditions arising from a flexible robotics model. To achieve this goal, the model is reformulated in an abstract framework using the C0$$ {C}_0 $$‐semigroup theory.
Tiziana Cardinali   +2 more
wiley   +1 more source

Compact operators on sequence spaces associated with the Copson matrix of order α

open access: yesJournal 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

Removing scalar curvature assumption for Ricci flow smoothing

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 7, Page 1968-1989, July 2025.
Abstract In recent work of Chan–Huang–Lee, it is shown that if a manifold enjoys uniform bounds on (a) the negative part of the scalar curvature, (b) the local entropy, and (c) volume ratios up to a fixed scale, then there exists a Ricci flow for some definite time with estimates on the solution assuming that the local curvature concentration is small ...
Adam Martens
wiley   +1 more source

Neutral functional differential equations of second-order with infinite delays

open access: yesElectronic Journal of Differential Equations, 2010
This work shows the existence of mild solutions to neutral functional differential equations of second-order with infinite delay. The Hausdorff measure of noncompactness and fixed point theorem are used, without assuming compactness on the associated
Runping Ye, Guowei Zhang
doaj  

On approximate solutions for a class of semilinear fractional-order differential equations in Banach spaces

open access: yesFixed Point Theory and Applications, 2017
We apply the topological degree theory for condensing maps to study approximation of solutions to a fractional-order semilinear differential equation in a Banach space. We assume that the linear part of the equation is a closed unbounded generator of a C
Mikhail Kamenskii   +3 more
doaj   +1 more source

Noncompact surfaces, triangulations and rigidity

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 7, Page 2097-2115, July 2025.
Abstract Every noncompact surface is shown to have a (3,6)‐tight triangulation, and applications are given to the generic rigidity of countable bar‐joint frameworks in R3${\mathbb {R}}^3$. In particular, every noncompact surface has a (3,6)‐tight triangulation that is minimally 3‐rigid. A simplification of Richards' proof of Kerékjártó's classification
Stephen C. Power
wiley   +1 more source

Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces

open access: yesJournal of Function Spaces, 2014
We study the spaces w0p, wp, and w∞p of sequences that are strongly summable to 0, summable, and bounded with index p≥1 by the Cesàro method of order 1 and establish the representations of the general bounded linear operators from the spaces wp into the ...
E. Malkowsky, A. Alotaibi
doaj   +1 more source

Existence, Uniqueness, and Mittag–Leffler–Ulam Stability Results for Cauchy Problem Involving ψ-Caputo Derivative in Banach and Fréchet Spaces

open access: yesInternational Journal of Differential Equations, 2020
Our aim in this paper is to investigate the existence, uniqueness, and Mittag–Leffler–Ulam stability results for a Cauchy problem involving ψ-Caputo fractional derivative with positive constant coefficient in Banach and Fréchet Spaces.
Choukri Derbazi   +3 more
doaj   +1 more source

On interpolation of the measure of noncompactness [PDF]

open access: yes, 2006
We revised the known results on interpolation of the measure of noncompactness and we announce a new approach to establishing the interpolation formula for the real ...
Cobos, Fernando   +2 more
core   +2 more sources

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