Results 1 to 10 of about 25,030 (204)
Analytic Resolving Families for Equations with Distributed Riemann–Liouville Derivatives
Mathematics, 2022 Some new necessary and sufficient conditions for the existence of analytic resolving families of operators to the linear equation with a distributed Riemann–Liouville derivative in a Banach space are established.
Vladimir E. Fedorov +3 more
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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.
openaire +1 more source
Analytic Resolving Families for Equations with the Dzhrbashyan–Nersesyan Fractional Derivative
Fractal and Fractional, 2022 In this paper, a criterion for generating an analytic family of operators, which resolves a linear equation solved with respect to the Dzhrbashyan–Nersesyan fractional derivative, via a linear closed operator is obtained.
Vladimir E. Fedorov +2 more
doaj +1 more source
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
doaj +1 more source
The Lévy–Khintchine type operators with variable Lipschitz continuous coefficients generate linear or nonlinear Markov processes and semigroups [PDF]
, 2011 Ito's construction of Markovian solutions to stochastic equations driven by a Lévy noise is extended to nonlinear distribution dependent integrands aiming at the effective construction of linear and nonlinear Markov semigroups and the corresponding ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
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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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Loop corrections for Kaluza-Klein AdS amplitudes [PDF]
, 2014 Recently we conjectured the four-point amplitude of graviton multiplets in ${\rm AdS}_5 \times {\rm S}^5$ at one loop by exploiting the operator product expansion of $\mathcal{N}=4$ super Yang-Mills theory.
George L. Delclos (606780) +10 more
core +6 more sources
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
doaj +1 more source
On Fields with Finite Information Density [PDF]
, 2004 The existence of a natural ultraviolet cutoff at the Planck scale is widely expected. In a previous Letter, it has been proposed to model this cutoff as an information density bound by utilizing suitably generalized methods from the mathematical theory ...
A. Kempf +25 more
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