Results 11 to 20 of about 76,601 (257)
Integro-differential equations in Banach spaces and analytic resolving families of operators
Contemporary Mathematics. Fundamental Directions, 2023 We study a class of equations in Banach spaces with a Riemann–Liouville-type integro-differential operator with an operator-valued convolution kernel. The properties of \(k\)-resolving operators of such equations are studied and the class \(\mathcal A_{m,K,\chi}\) of linear closed operators is defined such that the belonging to this class is ...
Fedorov, V. E., Godova, A. D.
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Degenerate Multi-Term Equations with Gerasimov–Caputo Derivatives in the Sectorial Case
Mathematics, 2022 The unique solvability for the Cauchy problem in a class of degenerate multi-term linear equations with Gerasimov–Caputo derivatives in a Banach space is investigated.
Vladimir E. Fedorov, Kseniya V. Boyko
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Generators of Analytic Resolving Families for Distributed Order Equations and Perturbations
Mathematics, 2020 Linear differential equations of a distributed order with an unbounded operator in a Banach space are studied in this paper. A theorem on the generation of analytic resolving families of operators for such equations is proved.
Vladimir E. Fedorov
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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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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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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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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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Smooth quantum-classical transition in photon subtraction and addition processes [PDF]
, 2009 Recently Parigi et al. [Science 317, 1890 (2007)] implemented experimentally the photon subtraction and addition processes from/to a light field in a conditional way, when the required operations were produced successfully only upon the positive outcome ...
A. V. Dodonov +4 more
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Iterative Schemes for Finite Families of Maximal Monotone Operators Based on Resolvents
Abstract and Applied Analysis, 2014 The purpose of this paper is to present two iterative schemes based on the relative resolvent and the generalized resolvent, respectively. And, it is shown that the iterative schemes converge weakly to common solutions for two finite families of maximal monotone operators in a real smooth and uniformly convex Banach space and one example is ...
Wei, Li, Tan, Ruilin
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Symmetries and entanglement features of inner-mode resolved correlations of interfering nonidentical photons [PDF]
, 2018 Multiphoton quantum interference underpins fundamental tests of quantum mechanics and quantum technologies. Consequently, the detrimental effect of photon distinguishability in multiphoton interference experiments can be catastrophic.
Laibacher, Simon, Tamma, Vincenzo
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