Серија А

SCIENTIFIC PUBLICATIONS OF THE STATE UNIVERSITY OF NOVI PAZAR

Series A:

Applied Mathematics,
Informatics & Mechanics

Published by the State University of Novi Pazar. Supported by the Ministry of Education, Science and Technological Develpoment, Republic of Serbia.

SCIENTIFIC PUBLICATIONS OF THE STATE UNIVERSITY OF NOVI PAZAR

Ravi P. Agarwal (USA)
Vladimir V. Amelkin (Belarus)
Dragan S. Antić (Serbia)
Anatoli B. Antonevich (Belarus)
Alejandro A. Castillo Atoche (Mexico)
Vukota M. Babović (Serbia)
Žarko P. Barbarić (Serbia)
Michael P. Bekakos (Greece)
Dragan S. Đordjević (Serbia)
Jožef Duhovnik (Slovenia)
Ivan V. Gaishun (Belarus)
Miloš Kojić (Serbia)
Joshep Kouneiher (France)
Miloš D. Krstić (Germany)
Miloš S. Kurilić (Serbia)
Miodrag S. Mateljević (Serbia)
Sašo Medved (Slovenia)
Ivan Z. Milentijević (Serbia)
Bratislav D. Milovanović (Serbia)
Igor Ž. Milovanović (Serbia)
Marko Nedeljkov (Serbia)
Predrag Osmokrović (Serbia)
Miroslav Petrović (Serbia)
Miroslava Petrović-Torgašev (Serbia)
Marko Robnik (Slovenia)
Valery G. Romanovsky (Slovenia)
Michael Ruzhansky (UK)
Stanislav G. Sedukhin (Japan)
Hari M. Srivastava (Canada)
Aleksej A. Tihonov (Russia)
Teufik I. Tokić (Serbia)
Miroslav D. Ćirić (Serbia)
Marian Vajtersic (Austria)

Scientific Publications of the State University of Novi Pazar, Series A: Applied Mathematics, Informatics and Mechanics, interdisciplinary in its coverage, is peer-reviewed international journal, that publishes high quality research articles on all aspects of applied mathematics. Contributions may deal with, but are not limited to, design and analysis of algorithms, computational complexity, combinatorics, graph theory, signal processing, image processing, high-performance computing, parallel processing and communications, mathematical biology, dynamical systems, solid and structural mechanics, fluid mechanics, mechanics of materials. Surveys and Review papers are also welcome. The Journal Publishes in both print and online version.

Teodor M. Atanacković
State University of Novi Pazar
Novi Pazar, Serbia
e-mail: atanackovic@uns.ac.rs

Diana Dolićanin Đekić
Faculty of Technical Sciences
Kosovska Mitrovica, Serbia
e-mail: dolicanin_d@yahoo.com

Irfan Fetahović
State University of Novi Pazar
Novi Pazar, Serbia
e-mail: ifetahovic@np.ac.rs

Emina I. Milovanović
Faculty of Electronic Engineering
Niš, Serbia
e-mail: ema@elfak.ni.ac.rs

Enes Kačapor
State University of Novi Pazar
Novi Pazar, Serbia
e-mail: ekacapor@np.ac.rs

Sibela Eminović
State University of Novi Pazar
Novi Pazar, Serbia
e-mail: sibela_np@yahoo.com

Dragan T. Spasić
Solid state mechanics
e-mail: spasic@uns.ac.rs

Teodor M. Atanacković
Applied Analysis, Number Theory,
Fractional Calculus
e-mail:  atanackovic@uns.ac.rs

Gradimir V. Milovanović
Approximation theory
Numerical analysis
e-mail: gvm@megatrend.edu.rs

Emina I. Milovanović
Parallel computing
Computer architecture
e-mail: ema@elfak.ni.ac.rs

Koviljka Dj. Stankovic
Nuclear technique
e-mail: kstankovic@etf.rs

Stevan R. Pilipović
Operator theory
Functional Analysis
e-mail: pilipovic@dmi.uns.ac.rs

Božidar V. Stanić
Plasma physics
e-mail : bozidar.stanic@etf.rs

Mile K. Stojčev
Computer engineering
Digital signal processing
e-mail: mile.stojcev@elfak.ni.ac.rs

Contents

A. B. Antonevich, E. V. Kuzmina
On generalized solutions of some differential equations with singular coefficients ….. 1

Lj. Kudrjavceva, M. Mićunović, D. Šumarac
On nonlinear viscoelasticity of elastomeric ISOLGOMMA mats ….. 13

S. Stankov, E. Dolićanin, M. Matejić, E. Milovanović, I. Milovanović
Remark on the irregularity of graphs ….. 19

N. M. Ralević, D. Ćebić, B. Iričanin
The inner aggregation Newton’s method for solving nonlinear equations ….. 29

Ş. B. Bozkurt Altindağ, M. Matejić, I. Milovanović, E. Milovanović
Some new upper bounds for the energy of graphs …..45

Ivan Gutman, Veerabhadrappa R. Kulli, Izudin Redžepović
Sombor Index of Kragujevac Trees …..61

S. Burcu Bozkurt Altındag
A Survey on Randić (Normalized) Incidence Energy of Graphs , 71

Sadia Noureen, Akhlaq Ahmad Bhatti
The modified first Zagreb connection index and the trees with given order and size of
matchings , 85

S. D. Stankov, M. M. Matejić, E. I. Milovanović, I. Ž. Milovanović
Remark on the upper bounds for arithmetic–geometric topological index of graphs

Ömer Can Eskicioğlu, Edin Dolićanin, Ali Hakan Işık, Rifai Kuçi
Recognition and Detection with Deep Learning Methods , 105

A. B. Yakovlev
Analytical study of the motion of particles with variable electric charge ……………………..63

Todor D. Todorov
A second order problem with nonlocal boundary conditions …………………………………….71

M. Koroteev
Machine learning models overfitting and generalization in very big datasets ……………..75

Vladimir Soloviev
Machine learning approach for student engagement automatic recognition
from facial expressions …………………………………………………………………………………………79

Abd-Elmoniem Ahmed ELZAIN
Indoor Radon concentrations in Al-Hasahisa and Rufaa towns
in the central part of Sudan ………………………………………………………………………………….87

E. Zogić, B. Borovićanin, E. I. Milovanović, I. Ž. Milovanović
Randić degree-based energy of graphs …………………………………………………………………99

E. Glogić, M. Matejić, E. I. Milovanović, I. Ž. Milovanović
On some lower bounds for the Kirchhoff index …………………………………………………….107

Mohamed Amine Zemirni, Benharrat Belaidi
Second order complex differential equations with analytic coefficients in the unit disc ……………………………………………………………..1

Mahmoud I. Abbas
Analytical calculations of the solid angle subtended by a circular detector at linear sources ……………………………………………17

Jiří Janda, Jitka Tichá
An experimental approach to the determination of the gross activity of uranium, plutonium, americium
and strontium in human biological samples using solid-state scintillation …………………………………………………………………………………25

E. Zogić, B. Borovićanin, I. Milovanović, E. Milovanović
On bounds of eigenvalues of Randi\’ c vertex–degree–based adjacency matrix……………………………………………………………………….33

V. Shendra Shainy, V. Balaji
Skolem Mean Like Labeling …………………………………………………………………………………………………………………………………………………….41

I. Ž. Milovanović, M. M. Matejić, E. I. Milovanović
Upper bounds for arithmetic–geometric index of graphs ………………………………………………………………………………………………………49

N. Glišović, M. Ralević, Ćebić
variant of McDougall-Wotherspoon method for finding simple roots of nonlinear equations…………………………………………………55

M. Saidani, B. Belaıdi
Oscillation of Solutions and Their Arbitrary Order Derivatives
of Higher Order Non-Homogeneous LDE ……………………………………………………………103

S. Radenović, M. Pavlović, Lj. Paunović, Z. Kadelburg
A note on Generalized Operator Quasicontractions in
Cone Metric Spaces ……………………………………………………………………………………….127

O. P. Chauhan, N. Singh, D. Singh, L. N. Mishra
Common Fixed Point Theorems in Cone Metric Spaces under
General Contractive Conditions ………………………………………………………………………..133

N. Saleem, A. H. Ansari, M. Pavlović, S. Radenović
Some New Results in the Framework of Sb Metric Spaces …………………………………………151

Z.Vejnović, M. Pavlović, P. Hadžić, M. Davidović
Glow Curve Analysis and Calculation of Thermoluminesce Parameters …………………….167

E. H. Zogić, E. R. Glogić
New Bounds for the Resolvent Energy of Graphs ……………………………………………………..187

M. M. Matejić, E. I. Milovanović, I. Ž. Milovanović
On relations between inverse sum indeg index and multiplicative
sum Zagreb index …………………………………………………………………………………………….193

Marcus Spies
Topic Modelling with Morphologically Analyzed Vocabularies ……………………………………………..1

E. I. Milovanović, M. M. Matejić, I. Ž. Milovanovic
Remark on Lower Bound for Forgotten Topological Index ……………………………………………………..19

A. H. Ansari, D. Dolićanin-Đekić, F. Gu, B. Z. Popović
C-class functions and remarks on fixed points of weakly
compatible mappings in g-metric spaces satisfying common limit range property ………………….25

Ljiljana Gajić, Zoran Kadelburg, Stojan Radenović
Gp-metric spaces—symmetric and asymmetric ……………………………………………………………………..37

G. B. A. Xavier, B. Govindan, S. J. Borg, M. Meganathan
Finite Fourier decomposition of signals using generalized difference operator …………………….47

B. R. Wadkar, R. Bhardwaj, V. N. Mishra, B. Singh
Coupled Soft fixed point theorems in soft metric and soft b- metric space ………………………………59

Senada Avdić, Izet Gazdić, Beco Pehlivanović, Alma Osmanović
Joint probability of density functions of energy–lifetime distributions for neutrons
and gamma-rays from 252Cf source ………………………………………………………………………………………75

S. Radenović, P. Vetro, A. Nastasi, L. T. Quan
Coupled fixed point theorems in C*-algebra-valued b-metric spaces………………………………………81

Natasa Glisović, Miodrag Rašković
Optimization for Classifying the Patients Using the Logic Measures for Missing Data ………………91

M. A. Boutiche, H. Belbachir, I. Gutman
Merrifield–Simmons and Hosoya index of Thorn–regular graphs ……………………………………………..113

G. B. A. Xavier, S. U. V. Kumar, B. Mohan
Sum of two dimensional Fibonacci sequence by solutions of
second order difference equations ………………………………………………………………………………………..131

P. P. Murthy, K. Tas, Rashmi, L. N. Mishra
Sub-compatible maps, weakly commuting maps and common
fixed points in cone metric spaces ………………………………………………………………………………………..139

A. Hussain, M. Arshad, M. Abbas, D. Dolićanin -Djekić
Best proximity points of local contractive mappings on metric
spaces endowed with binary relation ……………………………………………………………………………………..149

I. Beg, T. Rashid
Approximations for soft fuzzy rough sets ………………………………………………………………………………..161

Z. Kadelburg, Lj. Paunović, S. Radenović, G. Soleimani Rad
Non-normal cone metric and cone b-metric spaces and fixed point results ………………………………177

V. H. Badshah, P. Bhagat, S. Shukla
Some fixed point theorems for α-φ-contractive mappings in cone 2-metric spaces …………………….187

A. H. Ansari, S. Chandok, T. Došenović, S. Radenović
αβ-contractive mappings and upclass of type II function ……………………………………………………………….201

B. Deng, S. Wang, I. Gutman
Resolvent Estrada Index of Cycles and Paths ………………………………………………..1

T. Mansour, M. A. Rostami, E. Suresh, G. B. A. Xavier
New Sharp lower bounds for the First Zagreb index ………………………………………11

I. Ž. Milovanović, E. I. Milovanović, V. Ćirić, N. Jovanović
On some irregularity measures of graphs ……………………………………………………..21

I. Gutman, J. Lu, M. A. Boutiche
On distance in complements of graphs ………………………………………………………….35

Ž. Čupić, G. Schmitz, Lj. Kolar-Anić
Stoichiometric network analysis as mathematical method for
examinations of instability region and oscillatory dynamics …………………………….43

A. H. Ansari, S. Chandok
Make unification on α-admissible mappings and related fixed
point theorems …………………………………………………………………………………………………..67

M. Abbas, H. Huang, M. Sarwar, M. Shoaib
RFixed point results in Gq-metric spaces with W-distance………………………………..75

S. K. Malhotra, J. B. Sharma, S. Shukla
Relation-theoretic contraction principle in cone metric spaces
with Banach algebra …………………………………………………………………………………………….89

S. Cvetković, B. Rajković, S. V. Nikolić
Real-time image classification using LBP and ensembles of ELM ……………………..103

INVITED PAPER

O. N. Evkhuta, P. P. Zabreiko
A class of iterative methods for solving nonlinear operator equations ……………….63

REGULAR PAPERS

V. B. Levenshtam, P. E. Shubin
Justification of the Averaging Method for the Boundary Value Problems
on a Finite or Semi-Infinite Interval …………………………………………………………………..81

Ž. Barbarić, A. Pavlović, V. Nikolić
Impact of Emissivity and Reflectivity of the Object to Estimate Temperature
Using Infrared Thermal Imaging Camera ……………………………………………………………91

Cs. Meszaros, A. Balint
Symmetry Analysis of Turbulent Flows on the Base of the Variational
Principles of Non-Equilibrium Thermodynamics and Theory of Q1D Systems ……….99

E. Milovanović, E. Glogić, I. Milovanović, M. Cvjetković
Irregularity Measures of Graph ……………………………………………………………………….105

T. Aleksić, M. Petrović
On Graphs whose Spread is Maximal. …………………………………………………………….117

E. Dolićanin, D. Vučković, M. Obrenović, I. Fetahović, K. Stanković
Monte-Carlo Simulation of Radiation Impact on Flash Memory Cells …………………123

V. B. Levenshtam, P. E. Shubin
Averaging of Evolution System with Boundary Conditions ………………………………………………………………………………………….61

S. D. Marinković, P. M. Rajković, M. S. Stanković
Deformed exponentials, operators and modeling population growth ………………………………………………………………………….69

I. Ž . Milovanovć, E.R. Glogić, E. I. Milovanović, M. P. Bekakos, M. K. Stočev
Permutation Matrices of Reverse r-th Stride ………………………………………………………………………………………………………………..79

Ž. Barbaric
Sensitivity Analysis of a Position Device with Quadrant Photodiode ……………………………………………………………………………85

E. Karoussos, Ć. B.Dolićanin, V. D. Pavlović, J. R. Djordjević-Kozarov
New 2D continuous symmetric Christoffel-Darboux formula for Chebyshev
orthonormal polynomials of the first kind …………………………………………………………………………………………………………………….93

A. S. Stevanović, I. Ž. Milovanović, E. I. Milovanović
Remarks on Sequences Generated by Harmonic Numbers ……………………………………………………………………………………..107

D. Randjelović, E. Kajan, Ć. Dolićanin
An approach to governance and policy making architectural framework……………………………………………………………………111

N. F. Morozov, B. N. Semenov
Selected Problems of Nanomechanics ……………………………………………………………………………………………………… 1

V. V. Amelkin, M. N. Vasilevich
Construction of the Second-Order Fuchsian Systems with
Nilpotent Irreducible Residue Matrices ……………………………………………………………………………………………………….. 7

I. Ž. . Milovanović´, E. I. Milovanović´, D. Ć. Dolićanin, T. Z. Mirković
New Proofs of Some Discrete Inequalities ofWirtinger’s type……………………………………………………………………… 17

E. Karoussos, V. D. Pavlović, J. R. Djordjević-Kozarov, Ć. B.Dolićanin
New 2D Continuous Symmetric Christoffel-Darboux Formula
for Chebyshev Orthonormal Polynomials of the Second Kind ……………………………………………………………………. 23

G. S. Jovanović, T. R. Nikolić, M. K. Stojčev
Interconnection Architecture Based on PAM and CDMA Signaling Technique …………………………………………… 35

B. Mirić, E. Dolićanin
Comparisons Between Doppler Signal Orthogonal Transformations …………………………………………………………..49

INVITED PAPERS

P.P. Zabreiko, A.V. Krivko-Krasko
Finite Systems of Equations and Implicit Functions …………………………………………………………………………………………….. 1

T. M. Atanacković, S. Pilipović, D. Zorica
Vibrations of a System: Viscoelastic Rod of Fractional Type and a Body Attached to the Rod …………………………….. 27

REGULAR PAPERS

A. Yu. Aleksandrov, A. A. Kosov
Stability of Equilibrium Positions of Mechanical Systems with Switched Force Fields………………………………………….. 35

I. Ž. Milovanović, Ć. B. Dolićanin, M. K. Stojčev, E. I. Milovanović
Modification of Euclidian Algorithm for Solving Modular Equations ……………………………………………………………………… 41

I. A. Soloviev
Stochastic Stability Conditions for Solutions of Differential Equations for Means …………………………………………………. 45

K. A. Antipov, A.A. Tikhonov
On Analytical Investigation and Computer Modeling in the Problem of the Satellite’s Attitude Stabilization ………49

D. Antić, M. Milojković, D. Mitić, Saša Nikolić, S. Perić
Sliding Mode Control Based on Orthogonal Models ……………………………………………………………………………………………….55

M. Mijajlović, D. Milčić, V. Nikolić-Stanojević, M. Milčić
Numerical Simulation of Friction Stir Welding on Aluminum Alloy 2024-T351Plates ……………………………………………65

C. Guo, D. O’Regan, Y. Xu, R. P. Agarwal
Existence and multiplicity of homoclinic orbits of a second-order
differential difference equation via variational methods ……………………………………………….. 1

A. Antonevich, A. Akhmatova
On spectral properties of weighted shift operators generated
by linear mappings ……………………………………………………………………………………………………….. 17

E. Karoussos, V. D. Pavlovć
A novel high-performance complete fully differential two-stage
cascade amplifier in bipolar transistor implementation………………………………………………… 25

I. Antić, T. I. Tokić
RFID: Past, Present, Future …………………………………………………………………………………………… 39

Lj. M. Kocić, S. Gegovska – Zajkova, V. Andova
AIFS and Newton’s interpolating polynomials ………………………………………………………………. 53

G. Jovanović, M. Stojčev, T. Nikolić, Z. Stamenković
Programmable jitter generator based on voltage controlled delay line ……………………….61

M. Vujisić, N. Marjanović, I. Fetahović, K. Stanković, P. Osmokrović
Influence of Radiation on Titanium Dioxide Mermistors …………………………………………………75

T. M. Atanacković, D. Ć. Dolićanin, S. Pilipović
Forced Oscillations of a Single Degree of Freedom System
with Fractional Dissipation ……………………………………………………………………………………………….. 1

Ć. B. Dolićanin, A. B. Antonevič, V. B. Nikolić-Stanojević, B. V. Stanić
Contribution to the Orthogonal Projection of H3 Space onto Orisphere
and Introduction of Distance Method ……………………………………………………………………………….. 11

Lj. M. Kocić, E. Hadzieva, S. Gegovska – Zajkova
Introducing Affine Invariance to IFS ………………………………………………………………………………… 19

D. Nikolić, A. Vasić, I. Fetahović, K. Stanković, P. Osmokrović
Photodiode Behavior in Radiation Environment ……………………………………………………………… 27

T. Nikolić, G. Djordjevćc, M. Stojčev, M. Krstić
Data Transfers over Peripheral Bus Using CDMA Technique ………………………………………….. 35

B. D. Petrović, G. S. Nikolić
Software Tool for Distributed Elevator Systems ………………………………………………………………… 43

M. P. Bekakos, I. Ž . Milovanović, T. I. Tokić, Ć. B. Dolićanin,
E. I. Milovanovć
Selecting Mathematical Method for Systolic Processing ……………………………………………………. 53

Ž. P. Barbarić
Position Error Estimation of a Laser Illuminated Object ……………………………………………………. 59

N. Jelić, L. Kos, J. Duhovnik
Thermodynamic Plasma Properties Near the Sheath Edge in Kinetic
Tonks-Langmuir Model with Finite Ion Source Temperature ……………………………………………. 71

D. Ilić, D. Mostić, E. Dolićanin, K. Stanković, P. Osmokrović
Mechanisms of Electrical Berakdown in Low Vacuums …………………………………………………….. 85

M. Petrović, Z. Radosavljević, M. Rašajski
Cacti with a Given Spectral Property…………………………………………………………………………………… 101

D. Banković
General Solutions of System of Finite Equations ……………………………………………………………….. 117

V. Simić, O. Vojinović , I. Milentijević
E-Learning: Let’s Look Around ………………………………………………………………………………………….. 123

V. D. Pavlović, Ć. B. Dolićanin
Mathematical Foundation for the Christoffel-Darboux Formula
for Classical Orthonormal Jacobi Polynomials Applied in Filters ………………………………………139

T. Z. Mirković, D. Ć. Dolićanin, I. Ž . Milovanović, E. I. Milovanovć
Implementation of Optimal Investment Problem on a Linear Systolic Array ………………………153

G. Jovanović, M. Stojčev, Z. Stamenković
A CMOS Voltage Controlled Ring Oscillator with Improved Frequency Stability ……………… 1

E. I. Milovanović, B. M. Randjelović, I. Ž. Milovanović,
M. K. Stojčev
Matrix Multiplication on Linear Bidirectional Systolic arrays ………………………………………………11

Z. Marinković, V. Marković
Training Data Pre-Processing for Bias-Dependent Neural Models of Microwave
Transistor Scattering Parameters …………………………………………………………………………………….. 21

Ć. B. Dolićanin, V. B. Nikolić, D. Ć. Dolićanin
Application of Finite Difference Method to Study of the Phenomenon
in the Theory of Thin Plates ……………………………………………………………………………………………… 29

D. Nikolić, A. Vasić, E. Dolićanin, K. Stanković, P. Osmokrović
Unexpected Irreversible Changes of Photodiode Structure
due to Multiple Gamma Irradiation …………………………………………………………………………………… 45

Lj. M. Kocić, S. Gegovska-Zajkova, S. Kostadinova
On Chua Dynamical System ……………………………………………………………………………………………… 53

M. Stefanović, B. Mirić, P. Spalević, S. Panić
Second Order Statistic Analysis of Selection Macro-Diversity
ombining over Gamma Shadowed Rayleigh Fading Channels …………………………………. 1

G. S. Jovanović, M. K. Stojčev
Vernier’s Delay Line Time–to–Digital Converter …………………………………………………………..11

I. Ž. Milovanović, E. I. Milovanović, T. I. Tokić, M. K. Stojčev,
N. M. Stojanović
Optimizing Space-Time Parameters of Hexagonal Systolic Arrays …………………………….. 21

M. Zdravković, A. Vasić, Ć. Dolićanin, K. Stanković, P. Osmokrović
Temperature Effects on Photovoltaic Components Characteristics …………………………….. 29

J. Djordjević-Kozarov
Remote Laboratory Development for the Education in the Field
of Electronic Measurement ……………………………………………………………………………………………. 37