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Spectral Properties, Including Spectral Singularities, of a Quadratic Pencil of Schrödinger Operators on the Whole Real Axis
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Elgiz Bairamov Öner Çakar AllanM. KrallWe consider the Quadratic Pencil of Schr¨ odinger Operator L generated in L 2 (R) by the differential expression -
ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM, II
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: D.B. Hinton --- Department of Mathematics, J.K. Shaw --- Department of Mathematics Virginia Tech,In this paper we connect the pole structure of the Titchmarsh-Weyl m-coefficients with the spectrum of a Hamiltonian system which is singular at each end of an interval. Characterizations are given for the resolvent set, point spectrum, continuous spectrum and... -
Curvature properties of metric and semi-symmetric linear connections
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Miloš Z. Petrović --- , Serbia Nenad O. Vesić --- , Serbia Milan Lj. Zlatanović --- , SerbiaConsidering a non-symmetric linear connection and its dual one appear 6 independent curvature tensors [15]. In the present paper we study properties of curvature tensors of semi-symmetric metric connections on a generalized Riemannian manifold. -
Normal ordering in the shift algebra and the dual of Spivey’s identity
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Matthias Schork --- , GermanySpivey’s Bell number identity involving Stirling numbers of the second kind was derived by Spivey considering set partitions. Since its original derivation it has been derived (and generalized) by many authors using different techniques. In particular, Katriel gave a proof... -
A new insight to the Hamiltonian systems with a finite number of spectral parameters
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Ekin Uğurlu --- Çankaya University, TurkeyIn this article, we introduce a new first-order differential equation containing a finite number of spectral parameters and some results on the solutions of this equation. In particular, with the aid of the nested-circles approach we share a lower bound... -
Concircularly semi-symmetric metric connection
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Miroslav D. Maksimović --- University of Priština in Kosovska Mitrovica, Serbia Miloš Z. Petrović --- University of Niš, Serbia Nenad O. Vesić --- Mathematical Institute of Serbian Academy of Sciences and Arts, University of Belgrade, Milan Lj. Zlatanović --- University of Niš, SerbiaResults on a concircularly semi-symmetric metric connection on a Riemannian manifold are presented. Six linearly independent curvature tensors with respect to this non-symmetric linear connection are studied, and the tensors coincident with the Weyl projective curvature tensor and the concircular... -
Weyl double-measure pseudo almost periodic functions and Weyl double-measure pseudo almost periodic solutions to semilinear evolution equations
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Yongkun Li --- Department of Mathematics, Yunnan University, People’s Republic of ChinaThis paper aims to address significant gaps in the theory of almost periodic functions and their applications in differential equations. Although Weyl almost periodic functions generalize Bohr almost periodic functions and Stepanov almost periodic functions, the incompleteness of the space...