Results 1 to 10 of about 385 (40)
Approximate solvability method for nonlocal impulsive evolution equation
Open Mathematics, 2023 In this article, without assuming the compactness of semigroup, we deal with the existence and uniqueness of a mild solution for semilinear impulsive evolution equation with nonlocal condition in a reflexive Banach space by applying the approximate ...
Ma Weifeng, Li Yongxiang
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M-hypercyclicity of C0-semigroup and Svep of its generator
Concrete Operators, 2021 Let šÆ = (Tt)tā„0 be a C0-semigroup on a separable infinite dimensional Banach space X, with generator A. In this paper, we study the relationship between the single valued extension property of generator A, and the M-hypercyclicity of the C0-semigroup ...
Toukmati A.
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Monoids, their boundaries, fractals and C*-algebras
Topological Algebra and its Applications, 2020 In this note we establish some connections between the theory of self-similar fractals in the sense of John E. Hutchinson (cf. [3]), and the theory of boundary quotients of C*-algebras associated to monoids.
dal Verme Giulia, Weigel Thomas
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A modification to the conformable fractional calculus with some applications
Alexandria Engineering Journal, 2020 In the conformable fractional calculus, TĪ±TĪ²ā TĪ²TĪ± and IĪ±IĪ²ā IĪ²IĪ±, where TĪ± and IĪ± are conformable fractional differential and integral operators, respectively. Also, TĪ²ā TnĪ± and IĪ²ā InĪ±, where Ī²=nĪ± for some nāN.
Ahmad El-Ajou
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Joint numerical ranges: recent advances and applications minicourse by V. MĆ¼ller and Yu. Tomilov
Concrete Operators, 2020 We present a survey of some recent results concerning joint numerical ranges of n-tuples of Hilbert space operators, accompanied with several new observations and remarks.
MĆ¼ller V., Tomilov Yu.
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Continuous spectrum of the 3D Euler equation is a solid annulus [PDF]
, 2010 In this note we give a description of the continuous spectrum of the linearized Euler equations in three dimensions. Namely, for all but countably many times $t\in \R$, the continuous spectrum of the evolution operator $G_t$ is given by a solid annulus ...
Shvydkoy, Roman
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Upper estimates of transition densities for stable-dominated semigroups [PDF]
, 2012 We derive upper estimates of transition densities for Feller semigroups with jump intensities lighter than that of the rotation invariant stable Levy processComment: arXiv admin note: text overlap with arXiv:0903 ...
Kaleta, Kamil, Sztonyk, PaweÅ
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On a higherāorder evolution equation with a Stepanovābounded solution
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 72, Page 3959-3964, 2004., 2004 We study strong solutions u : ā ā X, a Banach space X, of the nthāorder evolution equation u(n) ā Au(nā1) = f, an infinitesimal generator of a strongly continuous group A : D(A)āX ā X, and a given forcing term f : ā ā X. It is shown that if X is reflexive, u and u(nā1) are Stepanovābounded, and f is Stepanov almost periodic, then u and all derivatives ...
Aribindi Satyanarayan Rao
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 45, Page 2401-2422, 2004., 2004 Necessary and sufficient conditions for a scalar type spectral operator in a Banach space to be a generator of an infinite differentiable or a Gevrey ultradifferentiable C0āsemigroup are found, the latter formulated exclusively in terms of the operatorā²s spectrum.
Marat V. Markin
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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 vectorāvalued 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 HilleāYosidaātype theorems for local convoluted semigroups.
Claus MĆ¼ller
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