Zobrazeno 1 - 10
of 111
pro vyhledávání: '"47h08"'
Autor:
Kečkić, Dragoljub J., Lazović, Zlatko
Consider a countably generated Hilbert $C^*$-module $\mathcal M$ over a $C^*$-algebra $\mathcal A$. There is a measure of noncompactness $\lambda$ defined, roughly as the distance from finitely generated projective submodules, which is independent of
Externí odkaz:
http://arxiv.org/abs/2409.02514
This paper deals with the controllability for a class of non-autonomous neutral differential equations of fractional order with infinite delay in an abstract space. The semi-group theory of bounded linear operators, fractional calculus, and stochasti
Externí odkaz:
http://arxiv.org/abs/2403.08825
We develop a new method suitable for establishing lower bounds on the ball measure of noncompactness of operators acting between considerably general quasinormed function spaces. This new method removes some of the restrictions oft-presented in the p
Externí odkaz:
http://arxiv.org/abs/2402.01250
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 552-566 (2024)
The objective of this study is to determine the criteria under which the infinite system of integral equations in three variables has a solution in the Banach tempering sequence space c0β{c}_{0}^{\beta } and ℓ1β{\ell }_{1}^{\beta }, utilizing the
Externí odkaz:
https://doaj.org/article/24aa0ab1c01040bda00dc6140ced568c
Autor:
Lins, Brian
We consider maps defined on the interior of a normal, closed cone in a real Banach space that are nonexpansive with respect to Thompson's metric. With mild compactness assumptions, we prove that the Krasnoselskii iterates of such maps converge to a f
Externí odkaz:
http://arxiv.org/abs/2306.10333
In this paper we are concerned with existence results for a coupled system of quadratic functional differential equations. This system is reduced to a fixed point problem for a block operator matrix with nonlinear inputs. To prove the existence we ar
Externí odkaz:
http://arxiv.org/abs/2301.03336
We propose a new approach to the study of (nonlinear) growth and instability for semilinear evolution equations with compact nonlinearities. We show, in particular, that compact nonlinear perturbations of a linear evolution equation can be treated as
Externí odkaz:
http://arxiv.org/abs/2211.15121
In this paper we estimate the Kuratowski and the Hausdorff measures of noncompactness of bounded subsets of spaces of vector-valued bounded functions and of vector-valued bounded differentiable functions. To this end, we use a quantitative characteri
Externí odkaz:
http://arxiv.org/abs/2210.13176
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 32, Iss 1, Pp 65-84 (2024)
In this article, we study the existence of mild solutions of a non-instantaneous integrodi erential equations on unbounded domain via resolvent operators in Banach space. For our proofs, we employ the semigroups theory and Schauder’s fixed point th
Externí odkaz:
https://doaj.org/article/b103629e41c149d6a7c0ee528a0e5d63
Autor:
Lins, Brian
Let $C$ be a closed cone with nonempty interior $C^\circ$ in a Banach space. Let $f:C^\circ \rightarrow C^\circ$ be an order-preserving subhomogeneous function with a fixed point in $C^\circ$. We introduce a condition which guarantees that the iterat
Externí odkaz:
http://arxiv.org/abs/2207.14098