Sanela Halilović- PhD
- Professor (Associate) at University of Tuzla
Sanela Halilović
- PhD
- Professor (Associate) at University of Tuzla
Researching some spectra of nonlinear operators.
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23
Publications
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Introduction
Current institution
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March 2004 - August 2020
University of Tuzla, Tuzla, Bosnia and Herzegovina
Position
- Professor (Associate)
Publications
Publications (23)
In this paper we analyze the connection between the group of rotation
in the complex plane and n-times integrated group of rotation (n \in N).
Later we give and prove a general formula for arbitrary n-times
integrated C_0 group of operators in a Banach space (n \in N).
In this paper we explain our motivation for introducing a new definition
of cosine operator function in Banach space and then, along with an appropriate
explanation, we introduce a new definition of cosine operator function and its infinitesimal
generator. We give relevant comparison and draw a parallel with an earlier
definition of these functions...
Abstract. In this paper, we consider the nonlinear superposition operator F
in lp spaces of sequences, generated by the function
f(s; u) = a(s) + arctan u or f(s; u) = a(s) - arctan u:
We find out the Rhodius spectra \sigma_R(F) and the Neuberger spectra \sigma_N(F)
of these operators and finally the radii of these spectra. The superposition
operat...
In the present paper we consider the nonlinear superposition operator F in Banach spaces l_p, generated by the function f(s,u)=d(s)+a^{ku}-1,
with a>1 and k \in R \{0}. We find out the Rhodius spectra \sigma_R (F) and the Neuberger spectra \sigma_N (F) of these operators, depending on the values of k.
In this article we observe a discrete nonlinear Hammerstein system of equations x=KFx+g, (x,g \in l_p, \sigma) in weighted Banach spaces and establish some results about its unique solvability..
The book was written on the basis of materials that we presented at several faculties, either as lectures or as part of auditory exercises. Aware that there are more books and textbooks in the area in which the topics covered by this book are covered, we tried, based on the mentioned experience, to write a book oriented towards students.
The spectra of superposition operators generated by an exponential functions
In this paper, we consider the topic from the theory of cosine operator functions in 2-dimensional real vector space, which is an interplay between functional analysis and matrix theory. For the various cases of a given real matrix A= [α , β; γ , δ] we find out the appropriate cosine operator function C(t)= [a(t), b(t); c(t), d(t)], (t \in R) in a...
We consider the superposition operator F : lp \to lp (1\leq p \geq \infty)
generated by the function
f (s; u) = a (s) + uˇn or f (s; u) = a (s)* uˇn.
First we show that these operators are Fréchet differentiable operators. Then
we present several new lemmas and theorems about the Neuberger spectra
(\sigma_N (F)) of these operators F. Finally, we co...
In this paper we study the superposition operator F in l_p spaces of sequences, generated by the function f(s,u)=a(s)+b(u), in case that b(u)=u^n or b(u)=u^{1/n}. We find out the Rhodius spectrum of this operator F. We also give a few examples
In this paper we consider the nonlinear superposition operator F in l_p spaces of sequences, generated by the function f(s,u)=a(s)+u^n or f(s,u)=a(s)*u^n. First we show that these operators are Frechet differentiable. Then we find out the Neuberger spectra \sigma_N (F) of these operators. We compare it with some other nonlinear spectra and indicate...
U ovom radu pokazujemo da preslikavajući spektar nelinearnih operatora ne zadržava neke bitne osobine koje ima spektar linearnih operatora. To ilustriramo nizom primjera.
Ključne riječi: spektar, nelinearni operator, bijekcija
We study some possibilities of nonlinear spectral theories for solving nonlinear operator equations. The main aim is to research a spectrum and establish some kind of nonlinear Fredholm alternative for Hammerstein operator KF. It is well-known that the major methods for studying solvability of linear or nonlinear equations in literature are: the va...
