Abstract Impulsive Volterra Integro-Differential Inclusions
Fractal and Fractional, 2023 In this work, we provide several applications of (a, k)-regularized C-resolvent families to the abstract impulsive Volterra integro-differential inclusions.
Wei-Shih Du +2 more
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On some local spectral theory and bounded local resolvent of operator matrices [PDF]
, 2017 summary: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 +5 more
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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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A New Identity for Resolvents of Operators [PDF]
International Journal of Analysis, 2013 A new identity for resolvents of operators is suggested. We show that in appropriate situations it is more convenient than the Hilbert identity. In particular, we establish a new invertibility condition for perturbed operators as well as new bounds for the spectrum of perturbed operators.
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Schrödinger operators with δ and δ′-potentials supported on hypersurfaces [PDF]
, 2013 Self-adjoint Schrödinger operators with δ and δ′-potentials supported on a smooth compact hypersurface are defined explicitly via boundary conditions.
Lotoreichik, Vladimir +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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Nonlocal Problems for Fractional Differential Equations via Resolvent Operators
International Journal of Differential Equations, 2013 We discuss the continuity of analytic resolvent in the uniform operator topology and then obtain the compactness of Cauchy operator by means of the analytic resolvent method.
Zhenbin Fan, Gisèle Mophou
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RESOLVENT DAN SPEKTRUM DARI OPERATOR LINEAR TERTUTUP DI RUANG HILBERT [PDF]
, 2018 Teori spektral merupakan salah satu topik pembahasan dari analisis fungsional. Teori ini menjelaskan hubungan antara suatu operator linear dengan operator inversinya.
Indirasari, Dian
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Uniqueness of DRS as the 2 operator resolvent-splitting and impossibility of 3 operator resolvent-splitting [PDF]
Mathematical Programming, 2019 Published in Mathematical Programming (updated version with corrected typo)
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A representation formula for the resolvent of conformable fractional Sturm-Liouville operator [PDF]
In this study, the resolvent of the conformable fractional Sturm–Liouville operator is considered.
Allahverdiev, Bilender P. +2 more
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