Some criteria for the existence of divisors of a holomorphic operator function

1984 ◽  
Vol 18 (1) ◽  
pp. 75-77 ◽  
Author(s):  
D. I. Taragan
Keyword(s):  
Operator Function ◽  
Holomorphic Operator ◽  
Holomorphic Operator Function

Basis property of a part of the system of Eigenvectors of a holomorphic operator-function

1991 ◽  
Vol 50 (1) ◽  
pp. 755-757
Author(s):  
V. A. Grinshtein
Keyword(s):  
Operator Function ◽  
Basis Property ◽  
Holomorphic Operator ◽  
Holomorphic Operator Function

On holomorphic operator function equations

1979 ◽  
Vol 2 (2) ◽  
pp. 244-263 ◽  
Author(s):  
Winfried Kaballo ◽  
G. Philip ◽  
A. Thijsse
Keyword(s):  
Operator Function ◽  
Holomorphic Operator ◽  
Holomorphic Operator Function

Root functions, eigenvectors, associated vectors and the inverse of a holomorphic operator function

1984 ◽  
Vol 42 (5) ◽  
pp. 455-463 ◽  
Author(s):  
Reinhard Mennicken ◽  
Manfred M�ller
Keyword(s):  
Operator Function ◽  
Root Functions ◽  
Holomorphic Operator ◽  
Holomorphic Operator Function

Application of the Augmented Operator Function Model for Developing Cognitive Metrics in Persistent Surveillance

2013 ◽  
Author(s):  
Tiffany M. Paul ◽  
Mary Fendley ◽  
Soloman Gibbs
Keyword(s):  
Operator Function ◽  
Function Model

A Discrete Control Model of Operator Function: A Methodology for Information Display Design

1986 ◽  
Vol 16 (3) ◽  
pp. 343-357 ◽  
Author(s):  
Christine M. Mitchell ◽  
R. A. Miller
Keyword(s):  
Operator Function ◽  
Control Model ◽  
Discrete Control ◽  
Display Design ◽  
Information Display

Operator Function Method in the Problem of Normal Waves in an Inhomogeneous Waveguide

2018 ◽  
Vol 54 (9) ◽  
pp. 1168-1179 ◽  
Author(s):  
Yu. G. Smirnov ◽  
E. Yu. Smol’kin
Keyword(s):  
Function Method ◽  
Operator Function ◽  
Inhomogeneous Waveguide ◽  
Normal Waves

Rigorous Formulation of the Lasing Eigenvalue Problem as a Spectral Problem for a Fredholm Operator Function

2018 ◽  
Vol 39 (8) ◽  
pp. 1148-1157 ◽  
Author(s):  
A. O. Spiridonov ◽  
E. M. Karchevskii ◽  
A. I. Nosich
Keyword(s):  
Eigenvalue Problem ◽  
Spectral Problem ◽  
Fredholm Operator ◽  
Operator Function ◽  
Rigorous Formulation

scholarly journals On the rate of convergence for a class of Markovian queues with group services

2020 ◽  
Vol 28 (3) ◽  
pp. 205-215
Author(s):  
Anastasia L. Kryukova
Keyword(s):  
Rate Of Convergence ◽  
Operator Function ◽  
Computer Network ◽  
Human Life ◽  
Queueing Models ◽  
Differential Inequalities ◽  
Queuing Systems ◽  
Stationary Model ◽  
Logarithmic Norm ◽  
Method Of Differential Inequalities

There are many queuing systems that accept single arrivals, accumulate them and service only as a group. Examples of such systems exist in various areas of human life, from traffic of transport to processing requests on a computer network. Therefore, our study is actual. In this paper some class of finite Markovian queueing models with single arrivals and group services are studied. We considered the forward Kolmogorov system for corresponding class of Markov chains. The method of obtaining bounds of convergence on the rate via the notion of the logarithmic norm of a linear operator function is not applicable here. This approach gives sharp bounds for the situation of essentially non-negative matrix of the corresponding system, but in our case it does not hold. Here we use the method of differential inequalities to obtaining bounds on the rate of convergence to the limiting characteristics for the class of finite Markovian queueing models. We obtain bounds on the rate of convergence and compute the limiting characteristics for a specific non-stationary model too. Note the results can be successfully applied for modeling complex biological systems with possible single births and deaths of a group of particles.

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