Results 11 to 20 of about 215 (160)

Strongly Continuous Semigroups [PDF]

, 2012
In Chapter 2 we showed that the examples of Chapter 1, which were described by ordinary differential equations, can be written as a first-order differential equation $$\dot{x}(t) = Ax(t) + Bu(t), \quad \quad y(t) = C_x(t) = Du(t),$$ (5.1) where x(t) is a vector in Rn or Cn.
Birgit Jacob, Hans J. Zwart
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SEMIGROUPS N TIMES INTEGRATED AND AN APPLICATION TO A PROBLEM OF CAUCHY TYPE

Selecciones Matemáticas, 2016
The theory of semigroups n times integrated is a generalization of strongly continuous semigroups, which was developed from 1984, and is widely used for the study of the existence and uniqueness of problems such Cauchy in which the operator domain is ...
Danessa Chirinos Fernández, Ulices Zavaleta Calderón   +1 more
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The Critical Spectrum of a Strongly Continuous Semigroup

Advances in Mathematics, 2000
\textit{A. Lyapunov} showed in [``General problem of the stability of motion'' (Russian), Charkov (1892; JFM 24.0876.02); French translation in Ann. Fac. Sci. Toulouse Sci. Math. Sci. Phys. (2) 9, 203-474 (1907; JFM 38.0738.07)] that the asymptotic behavior as \(t \to \infty\) of the exponential function \(\exp[tA]\) for a matrix \(A\) can be described
Nagel, Rainer, Poland, Jan
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Exponential dichotomy of strongly discontinuous semigroups [PDF]

Bulletin of the Australian Mathematical Society, 1984
In this paper we give necessary and sufficient conditions for exponential dichotomy of a general class of strongly continuous semigroups of operators defined on a Banach space. As a particular case we obtain a Datko theorem for exponential stability of a strongly continuous semigroup of class C0 defined on a Banach space.
Preda, P., Megan, M.
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Particular case of operator calculus for generalized functions with supports in cone

Karpatsʹkì Matematičnì Publìkacìï, 2012
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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Spectral inclusions and stability results for strongly continuous semigroups

International Journal of Mathematics and Mathematical Sciences, 2003
We prove some spectral inclusions for strongly continuous semigroups. Some stability results are also established.
Abdelkader Elkoutri, Mohamed Aziz Taoudi
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On the global existence of mild solutions of nonlinear delay systems associated with continuous and analytic semigroups

Electronic Journal of Qualitative Theory of Differential Equations, 2008
In this paper we prove sufficient conditions for the existence of global solutions of nonlinear functional-differential evolution equations whose linear parts are infinitesimal generators of strongly continuous and analytic semigroups.
Milan Medved
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Common fixed points of one-parameter nonexpansive semigroups in strictly convex Banach spaces

Abstract and Applied Analysis, 2006
One of our main results is the following convergence theorem for one-parameter nonexpansive semigroups: let C be a bounded closed convex subset of a Hilbert space E, and let {T(t):t∈ℝ+} be a strongly continuous semigroup of nonexpansive mappings on C ...
Tomonari Suzuki
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Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem [PDF]

Sahand Communications in Mathematical Analysis
The primary purpose of this paper is to investigate the existence of two distinct types of fuzzy mild solutions for fuzzy fractional evolution equations under Caputo's $gH-$differentiability.
Ismail Airou, Ali El Mfadel, Elomari Mhamed   +2 more
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The Stability and Stabilization of Infinite Dimensional Caputo-Time Fractional Differential Linear Systems

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, Ali Boutoulout, Delfim F. M. Torres   +2 more
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