Results 11 to 20 of about 76,730 (232)
Fractional resolvent family generated by normal operators
AIMS Mathematics, 2023 <abstract><p>The main focus of this paper is on the relationship between the spectrum of generators and the regularity of the fractional resolvent family. We will give a counter-example to show that the point-spectral mapping theorem is not valid for $ \{S_{\alpha}(t)\} $ if $ \alpha \neq 1 $; and we show that if $ \{S_{\alpha}(t)\} $ is ...
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(F, G, C)-Resolvent Operator Families and Applications
Mathematics, 2023 In this paper, we introduce and investigate several new classes of (F,G,C)-regularized resolvent operator families subgenerated by multivalued linear operators in locally convex spaces. The known classes of (a,k)-regularized C-resolvent operator-type families are special cases of the classes introduced in this paper. We provide certain applications of (
Vladimir E. Fedorov, Marko Kostić
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DUALITY THEORY OF REGULARIZED RESOLVENT OPERATOR FAMILY
Journal of Applied Analysis & Computation, 2011 Let \( k \in C(R^+)\), A be a closed linear densely defined operator in the Banach space \(X\) and \( \{R(t)\}_{t\geq 0} \) be an exponentially bounded \(k\)-regularized resolvent operator families generated by A. In this paper, we mainly study pseudo k-resolvent and duality theory of k-regularized resolvent operator families.
null Jizhou Zhang, null Yeping Li
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Threshold approximations with corrector for the resolvent of a factorized selfadjoint operator family [PDF]
St. Petersburg Mathematical Journal, 2006 In a Hilbert space we consider the family of operators admitting a factorization A(t) = X(t)∗X(t), where X(t) = X0 + tX1, t ∈ R. We suppose that the subspace N = KerA(0) is finite-dimensional. For the resolvent (A(t) + e2I)−1, we obtain an approximation in the operator norm on a fixed interval |t| ≤ t0 for small values of e. This approximation contains
M. Sh. Birman, T. A. Suslina
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Известия Иркутского государственного университета: Серия "Математика", 2019 We investigates the unique solvability of a class of linear inverse problems with a time-independent unknown coefficient in an evolution equation in Banach space, which is resolved with respect to the fractional Gerasimov – Caputo derivative.
V.E. Fedorov, A. V. Nagumanova
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Solvability of fractional differential inclusions with nonlocal initial conditions via resolvent family of operators [PDF]
International Journal of Nonlinear Sciences and Numerical Simulation, 2020 Abstract In this paper, we consider mild solutions to fractional differential inclusions with nonlocal initial conditions. The main results are proved under conditions that (i) the multivalued term takes convex values with compactness of resolvent family of operators; (ii) the multivalued term takes nonconvex values with compactness of ...
Yong-Kui Chang +2 more
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The dilogarithmic central extension of the Ptolemy-Thompson group via the Kashaev quantization [PDF]
, 2016 Quantization of universal Teichm\"uller space provides projective representations of the Ptolemy-Thompson group, which is isomorphic to the Thompson group $T$.
Kim, Hyun Kyu
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Construction of aggregation operators with noble reinforcement [PDF]
, 2007 This paper examines disjunctive aggregation operators used in various recommender systems. A specific requirement in these systems is the property of noble reinforcement: allowing a collection of high-valued arguments to reinforce each other while ...
Beliakov, Gleb, Calvo, Tomasa
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Mathematics, 2019 We consider a class of linear inhomogeneous equations in a Banach space not solvable with respect to the fractional Caputo derivative. Such equations are called degenerate.
Dumitru Baleanu +3 more
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On an extension of the Trotter-Kato theorem for resolvent families of operators [PDF]
Journal of Integral Equations and Applications, 1990 The Trotter-Kato theorem on convergence and approximation of \(C_ 0\)- semigroups, proved in the context of resolvent families of operators is generalized to the Volterra equations \[ R(t)x=x+\int_ 0^ t k(t- s)AR(s)x ds, \qquad x\in D(A) \] \(R(t)\) commutes with the infinitesimal generator \(A\).
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