Results 11 to 20 of about 85 (83)
On the decoupled Markov group conjecture
Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 240-247, February 2021., 2021 Abstract The Markov group conjecture, a long‐standing open problem in the theory of Markov processes with countable state space, asserts that a strongly continuous Markov semigroup T=(Tt)t∈[0,∞) on ℓ1 has bounded generator if the operator T1 is bijective. Attempts to disprove the conjecture have often aimed at glueing together finite‐dimensional matrix
Jochen Glück
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Datko criteria for uniform instability in Banach spaces
, 2021 The main objective of this paper is to present some necessary and sufficient conditions of Datko type for the uniform exponential and uniform poly- nomial instability concepts for evolution operators in Banach spaces.
BORUGA (TOMA), Rovana, MEGAN, Mihail
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Admissible and weakly admissible observation operators for the right shift semigroup [PDF]
, 2002 In this note we show that two conjectures of George Weiss on admissible and weakly admissible observation operators fail to hold in general for the right shift semigroup in the case that the output space is infinite dimensional.AMS 2000 Mathematics ...
Partington, JR +5 more
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Continuous convolution hemigroups integrating a sub-multiplicative function [PDF]
, 2009 Unifying and generalizing previous investigations for vector spaces and for locally compact groups, E. Siebert obtained the following remarkable result: A Lévy process on a completely metrizable topological group G, resp.
Hazod, Wilfried
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On the uniform exponential stability of linear skew‐product semiflows
Journal of Function Spaces, Volume 4, Issue 2, Page 145-161, 2006., 2006 The problem of uniform exponential stability of linear skew‐product semiflows on locally compact metric space with Banach fibers, is discussed. It is established a connection between the uniform exponential stability of linear skewproduct semiflows and some admissibility‐type condition.
Ciprian Preda, Björn Birnir
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Method of semidiscretization in time for quasilinearintegrodifferential equations
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 9, Page 469-478, 2004., 2004 We consider a class of quasilinear integrodifferential equations in a reflexive Banach space. We apply the method of semidiscretization in time to establish the existence, uniqueness, and continuous dependence on the initial data of strong solutions.
D. Bahuguna, Reeta Shukla
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Existence, uniqueness, and regularity of solutions to semilinear retarded differential equations
International Journal of Stochastic Analysis, Volume 2004, Issue 3, Page 213-219, 2004., 2004 In the present work, we consider a semilinear retarded differential equation in a Banach space. We first establish the existence and uniqueness of a mild solution and then prove its regularity under different additional conditions. Finally, we consider some applications of the abstract results.
D. Bahuguna
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Modulation type spaces for generators of polynomially bounded groups and Schrödinger equations [PDF]
, 2018 We introduce modulation type spaces associated with the generators of polynomially bounded groups. Besides strongly continuous groups we study in detail the case of bi-continuous groups, e.g. weak-continuous groups in dual spaces.
Kunstmann, Peer Christian
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The fundamental solutions for fractional evolution equations of parabolic type
International Journal of Stochastic Analysis, Volume 2004, Issue 3, Page 197-211, 2004., 2004 The fundamental solutions for linear fractional evolution equations are obtained. The coefficients of these equations are a family of linear closed operators in the Banach space. Also, the continuous dependence of solutions on the initial conditions is studied. A mixed problem of general parabolic partial differential equations with fractional order is
Mahmoud M. El-Borai
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Laplace transform generation theorems and local Cauchy problems
Abstract and Applied Analysis, Volume 2004, Issue 1, Page 69-90, 2004., 2004 We give new criterions to decide if some vector‐valued function is a local Laplace transform and apply this to the theory of local Cauchy problems. This leads to an improvement of known results and new Hille‐Yosida‐type theorems for local convoluted semigroups.
Claus Müller
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