Results 21 to 30 of about 3,328,865 (187)
The Perron Problem for C-Semigroups [PDF]
, 2004 <p>Characterizations of Perron-type for the exponential stability of exponentially bounded C-semigroups are given. Also, some applications for the asymptotic behavior of the integrated semigroups are obtained.</p>
Prada, Petre +2 more
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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 +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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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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A photon transport problem with a time-dependent point source [PDF]
, 2009 We consider a time-dependent problem of photon transport in an interstellar cloud with a point photon source modeled by a Dirac δ functional. The existence of a unique distributional solution to this problem is established by using the theory of ...
McBride, A.C. +2 more
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On equicontinuity and tightness of bi-continuous semigroups [PDF]
, 2022 In contrast to classical strongly continuous semigroups, the study of bi-continuous semigroups comes with some freedom in the properties of the associated locally convex topology.
Schwenninger, Felix L.; id_orcid +6 more
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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 AnalysisThe 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 +2 more
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