10 citations · 23 across the 11 of their papers we have counts for
11 papers
Construction of Pole Cancellation Functions at Ordinary Poles of Operator-Valued Functions
Muhamed Borogovac
A pole of order at of a regular operator valued function is investigated. We provide a charac…
Characterization of Jordan Vectors of Operator-Valued Functions with Applications in Differential Equations
Muhamed Borogovac
A well-known characterization of Jordan vectors of a matrix polynomial is generalized to a characterization of Jordan vectors of the operator-valued function at an ei…
Root functions of a meromorphic matrix function and applications
Muhamed Borogovac
A practical method is presented for determining root and pole cancellation functions of a matrix function meromorphic on the extended complex plane $\bar{\mathbb{C}}:=\mathb…
Novel approach to root functions of matrix polynomials with applications in differential equations and meromorphic matrix functions
Muhamed Borogovac
In the first part of the paper, we address an invertible matrix polynomial and its inverse . We present a method for obtaining a canonical set of r…
Green's boundary relation model in a Krein space
Muhamed Borogovac
Given Krein and Hilbert spaces and , respectively, the concept of the boundary triple $Π=(\mathca…
Characterization of Weyl functions in the class of operator-valued generalized Nevanlinna functions
Muhamed Borogovac
We provide the necessary and sufficient conditions for a generalized Nevanlinna function () to be a Weyl function (also known as a Weyl-Ti…
Reducibility of self-adjoint linear relations and application to generalized Nevanlinna functions
Muhamed Borogovac
Necessary and sufficient conditions for reducidibility of a self-adjoint linear relation in a Krein space are given. Then a generalized Nevanlinna function , represented by a se…
Inverse of generalized Nevanlinna function that is holomorphic at infinity
Muhamed Borogovac
Let be a Hilbert space and let be the linear space of bounded operators in . In this…
Two Applications of Brouwer's Fixed Point Theorem: in Insurance and in Biology Models
Muhamed Borogovac
In the first part of the article, a new interesting system of difference equations is introduced. It is developed for re-rating purposes in general insurance. A nonlinear transform…
Desirable Decompositions of Generalized Nevanlinna Functions
Muhamed Borogovac
For a given generalized Nevanlinna function , we study decompositions that satisfy: ; , and $κ_{1}+…
Characterizations of generalized poles by pole cancellation functions of higher order
Muhamed Borogovac, Annemarie Luger
In this paper the analytic characterization of generalized poles of operator valued generalized Nevanlinna functions (including the length of Jordan chains of the representing rela…