Results 1 to 10 of about 3,328,865 (187)
On the Adjoint of a Strongly Continuous Semigroup [PDF]
Abstract and Applied Analysis, 2008 Using some techniques from vector integration, we prove the weak measurability of the adjoint of strongly continuous semigroups which factor through Banach spaces without isomorphic copy of l1; we also prove the strong continuity away from zero of the ...
Diómedes Bárcenas +1 more
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Mathematics, 2020 We investigate the stability and stabilization concepts for infinite dimensional time fractional differential linear systems in Hilbert spaces with Caputo derivatives.
Hanaa Zitane +2 more
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On the construction of the square root for some differential operators
Современная математика: Фундаментальные направленияUsing the Balakrishnan-Yosida approach to constructing fractional powers of linear operators in a Banach space by means of strongly continuous semigroups with densely defined generating operators, in this paper, a similar scheme is presented for ...
V. A. Kostin +2 more
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Transport operator on phase spaces with finite time of sojourn property
Electronic Journal of Differential Equations, 2010 In this article, the transport operator with general boundary conditions is discussed. According to a smallness hypothesis on the boundary operator and to finite time of sojourn property of phase spaces, we prove that the transport operator generates
Mohamed Boulanouar
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Lie generators for semigroups of transformations in a Polish space
Electronic Journal of Differential Equations, 1993 We characterize completely the infinitesimal generators of semigroups of linear transformations in $C_b(X)$, the bounded real-valued continuous functions on $X$, that are induced by strongly continuous semigroups of continuous transformations in $X$.
J. R. Dorroh, J. W. Neuberger
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Mixed-Type Functional Differential Equations: A $C_{0}$-Semigroup Approach
Communications in Advanced Mathematical Sciences, 2018 In this paper we study certain systems of mixed-type functional differential equations, from the point of view of the $C_{0}$-semigroup theory. In general, this type of equations are not well-posed as initial value problems.
Luis Gerardo Mármol +1 more
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On Two-parameter Dynamical Systems and Applications [PDF]
Journal of Sciences, Islamic Republic of Iran, 2004 In this note some useful properties of strongly continuous two-parameter semigroups of operators are studied, an exponential formula for two-parameter semigroups of operators on Banach spaces is obtained and some applied examples of two-parameter ...
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Shift-invariant measures on infinite-dimensional spaces: Integrable functions and random walks
Учёные записки Казанского университета: Серия Физико-математические науки, 2018 Averaging of random shift operators on a space of the square integrable by shift-invariant measure complex-valued functions on linear topological spaces has been studied. The case of the l∞ space has been considered as an example.
V.Zh. Sakbaev, D.V. Zavadsky
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Total Positivity: an application to positive linear operators and to their limiting semigroups
Journal of Numerical Analysis and Approximation Theory, 2007 Some shape-preserving properties of positive linear operators, involving higher order convexity and Lipschitz classes, are investigated from the point of view of weak Tchebycheff systems and total positivity in the sense of Karlin [8].
Antonio Attalienti, Ioan Raşa
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Particular case of operator calculus for generalized functions with supports in cone
Karpatsʹkì Matematičnì Publìkacìï, 2009 In this work the construction of functional calculus for strongly continuous semigroups of operators in Schwartz distribution algebra on some cone is generalized.
A. V. Solomko
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