Accumulation of complex eigenvalues of a class of analytic operator functions [PDF]
For analytic operator functions, we prove accumulation of branches of complex eigenvalues to the essential spectrum. Moreover, we show minimality and completeness of the corresponding system of eigenvectors and associated vectors.
Torshage, Johan Axel +1 more
core +1 more source
A COMPUTATION PERSPECTIVE FOR THE EIGENVALUES OF CIRCULANT MATRICES INVOLVING GEOMETRIC PROGRESSION
In this article, the eigenvalues and inverse of circulant matrices with entries in the first row having the form of a geometric sequence are formulated explicitly in a simple form in one theorem. The method for deriving the formulation of the determinant
SISWANDI SISWANDI +3 more
doaj +1 more source
Design of Multi-Loop Modal Control Systems for Plants Having Complex Eigenvalues
In this paper a design procedure is developed which makes it possible to alter both the real and imaginary parts of any number of pairs of conjugate complex plant eigenvalues: this procedure alters one pair of conjugate eigenvalues at a time by the ...
B. Porter MA, PhD, CEng, AMIMechE +1 more
doaj +1 more source
Transformation of Eigenvalues of the Zakharov–Shabat Problem under the Effect of Soliton Collision [PDF]
Background and Objectives: The Zakharov–Shabat spectral problem allows to find soliton solutions of the nonlinear Schrodinger equation. Solving the Zakharov–Shabat problem gives both a discrete set of eigenvalues λj and a continuous one.
Konyukhov, Andrey Ivanovich
doaj +1 more source
On the eigenvalue problems for differential operators with coupled boundary conditions
In the paper, the eigenvalue problems for one- and two-dimensional second order differential operators with nonlocal coupled boundary conditions are considered.
S. Sajavičius
doaj +1 more source
Digital Cognitive Phenotyping for Differential Diagnosis and Monitoring in Neurological Conditions
ABSTRACT Objective To assess the utility, accessibility, and equivalence to supervised scales of online cognitive assessment in older individuals with cognitive impairment. Methods Patients with Alzheimer's disease (AD, n = 31), idiopathic normal pressure hydrocephalus (iNPH, n = 26), and traumatic brain injury (TBI, n = 23) completed online cognitive ...
Martina Del Giovane +10 more
wiley +1 more source
In this paper the algorithm of finding eigenvalues and eigenfunctions for the leaky modes in a three-layer planar dielectric waveguide is considered.
Divakov Dmitriy +2 more
doaj +1 more source
White Matter and Perivascular Imaging Changes in Alzheimer's Disease and Cerebral Amyloid Angiopathy
ABSTRACT Objective Peak‐width of skeletonized mean diffusivity (PSMD) and diffusion tensor imaging–analysis along the perivascular space (DTI‐ALPS), reflecting white matter integrity and glymphatic function, are altered in Alzheimer's disease (AD).
Debina Laishram +3 more
wiley +1 more source
THE PROCESS OF HEAT TRANSFER IN TWO-LAYERED CYLINDRICAL BODY
Determination of thermal regimes of composite cylindrical bodies by analytical methods leads to the appearance of complex characteristic equations, the solution of which is the determination of eigenvalues.
U. V. Vidin, R. V. Kazakov, V. S. Zlobin
doaj +1 more source
Boundary‐Dependent Sleep–Wake Dysregulation in Idiopathic Hypersomnia
ABSTRACT Objective Idiopathic hypersomnia (IH) presents with excessive daytime sleepiness (EDS) despite apparently preserved nocturnal sleep, challenging traditional models of hypersomnolence based on sleep loss or fragmentation. We aimed to test the hypothesis that EDS in IH reflects excessive stabilization of the sleep state, consistent with ...
Samantha Mombelli +13 more
wiley +1 more source

