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Resolvent Positive Operators and Positive Fractional Resolvent Families [PDF]

open access: yesJournal of Function Spaces, 2021
This paper is concerned with positive α-times resolvent families on an ordered Banach space E (with normal and generating cone), where ...
Nan-Ding Li, Ru Liu, Miao Li
doaj   +3 more sources

A Note on Approximate Controllability of Fractional Semilinear Integrodifferential Control Systems via Resolvent Operators

open access: yesFractal and Fractional, 2022
This article primarily focuses on the approximate controllability of fractional semilinear integrodifferential equations using resolvent operators. Two alternative sets of necessary requirements have been studied.
Velusamy Vijayakumar   +6 more
doaj   +3 more sources

Integrated Resolvent Operators [PDF]

open access: yesJournal of Integral Equations and Applications, 1995
Der Autor betrachtet die Integro-Differential-Gleichung \[ u'(t)=Au (t)+\int^t_0 B(t-s) u(s) ds+f(t), \quad t\in [ 0,T ], \quad u(0) =x. \tag{VE} \] Dabei ist \(A\) ein linearer abgeschlossener Operator mit (nicht notwendig dichtem) Definitionsbereich \(D(A)\) in einem Banachraum \(X\), der die Hille-Yoshida-Bedingung erfüllt. Es gibt reelle Konstanten
exaly   +3 more sources

The Structure of the Resolvent of Elliptic Pseudodifferential Operators

open access: yesJournal of Functional Analysis, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paul Loya
exaly   +3 more sources

Properties of the resolvent of singular q-Dirac operators

open access: yesElectronic Journal of Differential Equations, 2020
In this article, we investigate the resolvent operator of a singular q-Dirac system. We obtain an integral representations for the resolvent of this system, in terms of the spectral function.
Bilender P. Allahverdiev, Huseyin Tuna
doaj   +4 more sources

An Introduction to Spectral Theory of Bounded Linear Operators in Intuitionistic Fuzzy Pseudo Normed Linear Space [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
In this paper, focus is on the study of spectrum and the spectral properties of bounded linear operators in intuitionistic fuzzy pseudo normed linear spaces(IFPNLS).
Bivas Dinda   +2 more
doaj   +1 more source

Spectral theory of C-symmetric non-selfadjoint differential operators of order 2n

open access: yesElectronic Journal of Differential Equations, 2023
We continue the spectral analysis of differential operators with complex coefficients, extending some results for Sturm-Liouville operators to higher order operators.
Horst Behncke, Don Hinton
doaj   +1 more source

A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators

open access: yesAdvances in Difference Equations, 2021
The approximate controllability of second-order integro-differential evolution control systems using resolvent operators is the focus of this work. We analyze approximate controllability outcomes by referring to fractional theories, resolvent operators ...
Velusamy Vijayakumar   +4 more
doaj   +1 more source

Investigation of the Spectral Properties of a Non-Self-Adjoint Elliptic Differential Operator

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2021
Non-self-adjoint operators have many applications, including quantum and heat equations. On the other hand, the study of these types of operators is more difficult than that of self-adjoint operators.
Arezoo Ghaedrahmati, Ali Sameripour
doaj   +1 more source

On One Method of Studying Spectral Properties of Non-selfadjoint Operators

open access: yesAbstract and Applied Analysis, 2020
In this paper, we explore a certain class of Non-selfadjoint operators acting on a complex separable Hilbert space. We consider a perturbation of a nonselfadjoint operator by an operator that is also nonselfadjoint.
Maksim V. Kukushkin
doaj   +1 more source

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