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pro vyhledávání: '"Xu, Guixin"'
This paper focuses on the asymptotic stability of the spectra of generalized indefinite strings (GISs). A unitarily equivalent linear relation is introduced for GISs. It is shown that the solutions of the corresponding differential equations are cont
Externí odkaz:
http://arxiv.org/abs/2412.00022
Autor:
Xu, Guixin, Ren, Guojing
This paper investigates quasi-selfadjoint extensions of dual pairs of linear relations in Hilbert spaces. Some properties of dual pairs of linear relations are given and an Hermitian linear relation associated with a dual pair of linear relations is
Externí odkaz:
http://arxiv.org/abs/2404.02355
Autor:
Ren, Guojing, Xu, Guixin
This paper is concerned with the characterizations of the Friedrichs extension for a class of singular discrete linear Hamiltonian systems. The existence of recessive solutions and the existence of the Friedrichs extension are proved under some condi
Externí odkaz:
http://arxiv.org/abs/2311.08665
Publikováno v:
In Biochemistry and Biophysics Reports March 2024 37
The works of V. A. Vinokurov have shown that eigenvalues and normalized eigenfunctions of Sturm-Liouville problems are analytic in potentials, considered as mappings from the Lebesgue space to the space of real numbers and the Banach space of continu
Externí odkaz:
http://arxiv.org/abs/1903.07794
Autor:
Xu, Guixin
Publikováno v:
Linear & Multilinear Algebra; Oct2024, Vol. 72 Issue 15, p2619-2632, 14p
This paper studies boundedness and closedness of linear relations, which include both single-valued and multi-valued linear operators. A new (single-valued) linear operator induced by a linear relation is introduced, and its relationships with other
Externí odkaz:
http://arxiv.org/abs/1604.07979
Autor:
Xu, Guixin1 (AUTHOR), Zhang, Meirong2 (AUTHOR)
Publikováno v:
Discrete Dynamics in Nature & Society. 12/14/2022, p1-12. 12p.
Akademický článek
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Autor:
Xu, Guixin, Shi, Yuming
Publikováno v:
In Linear Algebra and Its Applications 15 October 2017 531:547-574