Results 21 to 30 of about 461 (64)
, 2019 This is a critical note sent to Editor-in-Chief of the journal. The comments are based on a personal view of the author, on whose works the discussed paper is based in parts.
A. R. Aliev
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On Markovian cocycle perturbations in classical and quantum probability
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 54, Page 3443-3467, 2003., 2003 We introduce Markovian cocycle perturbations of the groups of transformations associated with classical and quantum stochastic processes with stationary increments, which are characterized by a localization of the perturbation to the algebra of events of the past. The Markovian cocycle perturbations of the Kolmogorov flows associated with the classical
G. G. Amosov
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C0‐continuity of the Fröbenius‐Perron semigroup
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 5, Page 307-319, 2002., 2002 We consider the Fröbenius‐Perron semigroup of linear operators associated to a semidynamical system defined in a topological space X endowed with a finite or a σ‐finite regular measure. We prove that if there exists a faithful invariant measure for the semidynamical system, then the Fröbenius‐Perron semigroup of linear operators is C0‐continuous in the
Andrés Navas, Sergio Plaza
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International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 9, Page 573-578, 2002., 2002 In a Banach space, if u is a Stepanov almost periodic solution of a certain nth‐order infinitesimal generator and time‐dependent operator differential equation with a Stepanov almost periodic forcing function, then u, u′, …, u (n−2) are all strongly almost periodic and u (n−1) is weakly almost periodic.
Aribindi Satyanarayan Rao
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Existence results for an impulsive neutral integro-differential equations in Banach spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this manuscript we investigate the existence of mild solution for a abstract impulsive neutral integro-differential equation by using semi-group theory and Krasnoselskii-Schaefer fixed point theorem in different approach.
Usha Venkatesh +2 more
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On the approximation of C_0-semigroups on the dual of a Banach space
, 2017 The main purpose of this paper is to present satisfactory versions of the Chernoff product formula and of the Lie-Trotter product formula for C0 -semigroups on the dual of a Banach space.
L. D. Lemle
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On a Product Formula for Unitary Groups [PDF]
, 2004 For any nonnegative self‐adjoint operators A and B in a separable Hilbert space, the Trotter‐type formula [(ei2tA/n+ei2tB/n)/2]n is shown to converge strongly in the norm closure of dom (A1/2) ∩ dom (B1/2 for some subsequence and for almost every t ∈ R ...
V. Cachia
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A note on the spectral operators of scalar type and semigroups of bounded linear operators
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 10, Page 635-640, 2002., 2002 It is shown that, for the spectral operators of scalar type, the well‐known characterizations of the generation of C0‐ and analytic semigroups of bounded linear operators can be reformulated exclusively in terms of the spectrum of such operators, the conditions on the resolvent of the generator being automatically met and the corresponding semigroup ...
Marat V. Markin
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THE $M$-HYPERCYCLICITY CRITERION OF $C_{0}$-SEMIGROUPS
, 2017 The goal in this paper is to give a sufficient conditions for a C0-semigroup acting on complex separable infinite dimensional Banach space X to be M -hypercyclic, this is the M -hypercyclicity criterion.
A. Tajmouati, A. E. Bakkali, A. Toukmati
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International Journal of Stochastic Analysis, Volume 13, Issue 2, Page 171-179, 2000., 2000 Two theorems about the existence and uniqueness of mild and classical solutions of a semilinear functional‐differential evolution nonlocal Cauchy problem in a general Banach space are proved. Methods of semigroups and the Banach contraction theorem are applied.
Katarzyna Kolodziej
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