Results 21 to 30 of about 1,075,287 (378)
Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal Conditions
Journal of Function Spaces, 2021 This paper is devoted to a class of impulsive fractional semilinear integrodifferential equations with nonlocal initial conditions. Based on the semigroup theory and some fixed point theorems, the existence theory of PC-mild solutions is established ...
Xue Wang, Bo Zhu
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Iterative Methods for Computing the Resolvent of Composed Operators in Hilbert Spaces
Mathematics, 2019 The resolvent is a fundamental concept in studying various operator splitting algorithms. In this paper, we investigate the problem of computing the resolvent of compositions of operators with bounded linear operators.
Yixuan Yang, Yuchao Tang, Chuanxi Zhu
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Operators in Rigged Hilbert spaces: some spectral properties [PDF]
, 2013 A notion of resolvent set for an operator acting in a rigged Hilbert space $\D \subset \H\subset \D^\times$ is proposed. This set depends on a family of intermediate locally convex spaces living between $\D$ and $\D^\times$, called interspaces.
Bellomonte, G. +2 more
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Integrated Resolvent Operators [PDF]
Journal 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
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Resolvents of $\mathscr{R}$-diagonal operators [PDF]
Transactions of the American Mathematical Society, 2010 Summary: We consider the resolvent \((\lambda-a)^{-1}\) of any \(\mathcal R\)-diagonal operator \(a\) in a \(\Pi_1\)-factor. Our main theorem (Theorem 1.1) gives a universal asymptotic formula for the norm of such a resolvent. En route to its proof, we calculate the \(\mathcal R\)-transform of the operator \(|\lambda-c|^2\), where \(c\) is Voiculescu's
Uffe Haagerup +2 more
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Resonance fluorescence in the resolvent-operator formalism [PDF]
Physical Review A, 2017 The Mollow spectrum for the light scattered by a driven two-level atom is derived in the resolvent operator formalism. The derivation is based on the construction of a master equation from the resolvent operator of the atom-field system. We show that the natural linewidth of the excited atomic level remains essentially unmodified, to a very good level ...
Debierre, V., Harman, Z.
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On some local spectral theory and bounded local resolvent of operator matrices [PDF]
Mathematica Bohemica, 2018 We extend and generalize some results in local spectral theory for upper triangular operator matrices to upper triangular operator matrices with unbounded entries.
Abdelaziz Tajmouati +2 more
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RESOLVENT ESTIMATES OF THE DIRAC OPERATOR
Analysis, 1995 We shall investigate the asymptotic behavior of the extended resolvent R(s) of the Dirac operator as |s| increases to infinity, where s is a real parameter. It will be shown that the norm of R(s), as a bounded operator between two weighted Hilbert spaces of square integrable functions on the 3-dimensional Euclidean space, stays bounded.
Pladdy, Chris +2 more
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Resolvent operator of singular Dirac system with transmission conditions
Rad Hrvatske akademije znanosti i umjetnosti Matematičke znanosti, 2019 This paper is concerned with the resolvent operator of one dimensional singular Dirac operator with transmission conditions. We study the Titchmarsh-Weyl function of this problem.
B. Allahverdiev, H. Tuna
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The resolvent operator of singular conformable fractional Dirac system
Gulf Journal of Mathematics, 2019 We discuss the resolvent operator of a singular conformable fractional Dirac system. We obtain integral representations for the resolvent of this system in terms of the spectral function.
B. Allahverdiev, H. Tuna
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