Results 11 to 20 of about 1,194 (210)

On existence of the resolvent and discreteness of the spectrum of a class of differential operators of hyperbolic type [PDF]

Electronic Journal of Qualitative Theory of Differential Equations, 2013
The existence and compactness of the resolvent are studied in this paper. One of the main results is the criterion of discreteness of the spectrum of a hyperbolic singular differential operator.
Mussakan Muratbekov, Madi Muratbekov, Akbota Abylayeva   +2 more
doaj   +2 more sources

Spectrum and resolvent of multi-channel systems with internal energies and common boundary conditions

Қарағанды университетінің хабаршысы. Математика сериясы
In the article the spectrum and resolvent of the so-called multichannel systems with nonzero internal energies were investigated. The spectrum and resolvent of multichannel Sturm-Liouville systems with non-zero internal energies mi2 and general boundary
A.A. Valiyev, M.B. Valiyev, E.H. Huseynov   +2 more
doaj   +3 more sources

On the Spectrum of Non-Selfadjoint Schrödinger Operators with Compact Resolvent [PDF]

Communications in Partial Differential Equations, 2015
We determine the Schatten class for the compact resolvent of Dirichlet realizations, in unbounded domains, of a class of non-selfadjoint differential operators. This class consists of operators that can be obtained via analytic dilation from a Schrödinger operator with magnetic field and a complex electric potential.
Almog, Yaniv, Helffer, B
core   +4 more sources

Spectrum of a family of operators [PDF]

Surveys in Mathematics and its Applications, 2011
Having as start point the classic definitions of resolvent set and spectrum of a linear bounded operator on a Banach space, we introduce the resolvent set and spectrum of a family of linear bounded operators on a Banach space.
Simona Macovei
doaj   +1 more source

Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential [PDF]

Abstract and Applied Analysis, 2016
A resolvent for a non-self-adjoint differential operator with a block-triangular operator potential, increasing at infinity, is constructed. Sufficient conditions under which the spectrum is real and discrete are obtained.
Aleksandr Mikhailovich Kholkin
doaj   +2 more sources

B-Weyl spectrum and poles of the resolvent

Journal of Mathematical Analysis and Applications, 2002
A bounded linear operator \(T\) on a Banach space \(X\) is called a \(B\)-Fredholm operator if for some integer \(n\), the range space \(R(T^n)\) is closed and \(T: R(T^n) \rightarrow R(T^n)\) is a Fredholm operator. When the index is \(0\), \(T\) is called a \(B\)-Weyl operator. In this case, the \(B\)-Weyl spectrum is defined by \(\sigma_{BW}(T) = \{
Berkani, M., M. Berkani
openaire   +2 more sources

On the Spectrum of a Morphism of Quotient Hilbert Spaces [PDF]

Surveys in Mathematics and its Applications, 2006
In this paper we define the notion of spectrum for a morphism of quotient Hilbert spaces. The definition is the same with the one given by L.Waelbroeck but the proofs that the spectrum is a compact and nonempty set are different.
Sorin Nadaban
doaj   +1 more source

On the adjoint of a symmetric operator [PDF]

, 2007
In general it is a non-trivial task to determine the adjoint S* of an unbounded symmetric operator S in a Hilbert or Krein space. We propose a method to specify S* explicitly which makes use of two boundary mappings that satisfy an abstract Green's ...
Meda S., Nelly Villamizar, CATALISANO, MARIA VIRGINIA, E. CARLINI, Matilde Lalín, Saito, Morihiko, Mauceri G., Fernandes de Oliveira, GM, Yuzvinsky, Sergey, Nero Budur, Vallarino, Maria, PICCIONE, P., Matthias Langer, Behrndt, Jussi, Frank Sottile (7161257), Morihiko Saito, Hynek Kovařík, PEREIRA, Antonio L., M. V. CATALISANO, Budur, Nero, Langer, Matthias, Elisa Postinghel, Stefano Meda, Lotoreichik, Vladimir, JAVALOYES, M. A., Catalisano M.V, Carlini, Enrico, Mauceri, G., Giancarlo Mauceri, Sergey Yuzvinsky, CATALISANO M. V., PEREIRA, Marcone C., Jussi Behrndt, MAUCERI, GIANCARLO, Wadim Zudilin, Veys, Willem, S. Meda, Detchat Samart, M. Vallarino, Catalisano, M.V., G. Mauceri, Frank Sottile, Elisa Postinghel (2887796), BILIOTTI, L., Meda, S., Kovarik, Hynek, Maria Vallarino, Nelly Villamizar (7161260)   +47 more
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The analysis of intensity fluctuations for a fully resolved spectrum: Pyrazine [PDF]

The Journal of Chemical Physics, 1988
Intensity fluctuations in the recently published fluorescence excitation spectrum of pyrazine in the 1B3u←1Ag 000 band are analyzed. A numerical study of a model Hamiltonian of a bright state coupled to a manifold of dark states is performed as an aid to the interpretation of the results. The distribution of fluctuations in the intensities computed for
Kommandeur, Jan, Meerts, W. l., Engel, Y. M., Levine, R. D.   +3 more
openaire   +2 more sources

Resolvent Modeling of Turbulent Jets [PDF]

, 2021
Optimal control of turbulent flows requires a detailed prediction of the unsteady, three-dimensional turbulent structures that govern quantities of interest like noise, drag, and mixing efficiency.
Pickering, Ethan Marcus
core   +1 more source