Ñïèñúê íà ïóáëèêàöèèòå ñ ðåçþìåòà
íà ä-ð Þëèÿíà Ê. Áîíåâà
1. Þëèÿíà Ê. Áîíåâà. Ðåøàâàíå íà îáèêíîâåíè äèôåðåíöèàëíè óðàâ-
Ñáîðíèê íàó÷íè äîêëàäè, Ïúðâà ìåæäóíàðîäíà
êîíôåðåíöèÿ íà ÅÏÓ 2011, ñòð. 194 - 200, Ïåðíèê.
íåíèÿ ñ MATLAB.
Ðåçþìå: Ðàçãëåäàíè ñà íÿêîè âúïðîñè íà îáó÷åíèåòî ïî îáèêíîâåíè äèôåðåíöèàëíè óðàâíåíèÿ â ñðåäà íà MATLAB. Ðàçãëåäàíè ñà
êàêòî ñèìâîëíîòî, òàêà è ÷èñëåíîòî ðåøàâàíå íà ÎÄÓ. Ðàçðàáîòåíè
ñà ïðîãðàìè çà ðåøàâàíå íà êîíêðåòíè çàäà÷è â òàçè îáëàñò.
Abstract: Some problems of the education of ordinary dierential
equations using MATLAB are considered. The symbolic and numerical
solutions are considered.
2. Ì. Êîíñòàíòèíîâ, Â. Òîäîðîâ, Ã. Ïåëîâà, Þ. Áîíåâà. Èçïîëçâàíå
íà ñèñòåìàòà MATLAB â òåõíè÷åñêèòå óíèâåðñèòåòè.
Ìàòåìàòèêà
è ìàò. îáðàçîâàíèå., 2010, 39 Ïðîëåòíà Êîíô.ÑÌÁ,
ñòð. 347-353,
Àëáåíà, 2010.
Ðåçþìå: Ðàçãëåäàíè ñà íÿêîè àñïåêòè íà îáó÷åíèåòî ïî ìàòåìàòèêà ñ ïîìîùòà íà ïðîãðàìíàòà ñèñòåìà MATLAB â òåõíè÷åñêèòå
óíèâåðñèòåòè. Ñïåöèàëíî âíèìàíèå å îòäåëåíî íà ðàçäåëèòå àíàëèòè÷íà ãåîìåòðèÿ è äèôåðåíöèàëíè óðàâíåíèÿ.
Abstract: Some aspects of the mathematical education in technical
universities using MATLAB are considered. Special attention is paid
to the subjects Analytical Geometry and Dierential Equations.
3. M. M. Konstantinov, G. B. Pelova and J. K. Boneva. Mathematics
of the Bulgarian Electoral System.
AMEE - 2009,
AIP Conf. Proc., 35th Int. Conf.
CP1184, pp. 235-246, Sozopol, 2009.
Ðåçþìå:  òàçè ðàáîòà ñà ðàçãëåäàíè ìàòåìàòè÷åñêèòå àñïåêòè íà
áúëãàðñêèòå èçáèðàòåëíè ñèñòåìè, èçïîëçâàíè ñëåä 1990 ã. Òå ñà
âàðèàíòè íà ïðîïîðöèîíàëíà ñèñòåìà ñ 4-ïðîöåíòíà áàðèåðà íà íàöèîíàëíî íèâî, êàòî ïàðòèéíèòå ìàíäàòè ñå ïåðñîíèôèöèðàò ÷ðåç
ïàðòèéíè ðåãèîíàëíè ëèñòè. Òàçè èçáîðíà ñèñòåìà ìîæå äà äîâåäå
äî òåæêè ìåæäóïàðòèéíè èçêðèâÿâàíèÿ. Òåçè èçêðèâÿâàíèÿ, ìàêàð ÷å ñà ôîðìàëíî êîðåêòíè, íå ñå ïðèåìàò îò îáùåñòâåíîñòòà è
ïî-ñïåöèàëíî îò ìåñòíèòå ïàðòèéíè àêòèâèñòè. Ðàçãëåäàíè ñà ìåòîäè çà èçáÿãâàíå íà òàêèâà èçêðèâÿâàíèÿ. Èçó÷åíè ñà íîâè ïàðàäîêñè, êîèòî ñà îáîáùåíèÿ íà äîáðå ïîçíàòèòå ïàðàäîêñè íà èçâåñòíèòå
ïðîïîðöèîíàëíè èçáîðíè ñèñòåìè.
Abstract: In this paper we consider the mathematical aspects of the
Bulgarian proportional electoral systems used since 1990. They are
variants of a proportional system at a nation wide level with 4-percent
barrier such that the party seats are personied from a number of
regional party list. This system lead to severe inter-party distortions.
These distortions although formally correct are hardly accepted by the
public and by local party activists in particular. Methods to overcome
these diculties as well as the status -quo of the problem are considered.
Finally new paradoxes, are studied which are generalizations of the well
known paradoxes for the plain proportional systems.
4. M. Konstantinov, K. Yanev, G. Pelova and J. Boneva. 2D apportionment
methods.
UBM,
Mathematics and Education in Math., 2010, 39th Spring Conf.
pp. 190 - 197, Albena, 2010.
Ðåçþìå: Â ðàáîòàòà ñå ðàçãëåæäàò äâóìåðíè ïðîïîðöèîíàëíè èçáîðíè ñèñòåìè, ïðè êîèòî áðîÿò íà ïàðòèéíèòå ìàíäàòè ñå îïðåäåëÿ íà íàöèîíàëíî íèâî, à ïåðñîíèôèêàöèÿòà íà ìàíäàòèòå ñòàâà
÷ðåç ðåãèîíàëíè ïàðòèéíè ëèñòè. Ïðè òîâà áðîÿò íà ìàíäàòèòå âúâ
âñåêè ðàéîí ñå îïðåäåëÿ ïðîïîðöèîíàëíî íà íàñåëåíèåòî. Ïðåäëîæåíè ñà íîâè ïîäîáðåíè ìåòîäè çà äâóìåðíî ðàçïðåäåëåíèå è ñà
ïðåäñòàâåíè ðåçóëòàòè îò ÷èñëåíè ïðåñìÿòàíèÿ ñ äàííèòå îò ïàðëàìåíòàðíèòå èçáîðè ïðåç 2009 ã.
Abstract: The paper deals with 2D proportional electoral systems in
which the number of party mandates is determined at a nation wide
level while the personication of mandates is done through regional
party lists. In addition, the number of mandates in each region is
preliminary determined proportionally to the population. Variants of
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such systems have been used in seven parliamentary elections in Bulgaria
during the period 1990 - 2009. These systems as well as new improved
2D apportionment methods are considered. Results from numerical
simulations with data from the 2009 Bulgarian parliamentary elections
are given.
5. M. M. Konstantinov, G. B. Pelova and J. K. Boneva. Mathematical
Annual of
the University of Architecture, Civil Engineering and Geodesy , vol. 43
characteristics of the Bulgarian voting system since 1990.
44, fasc. II, pp. 21 - 32, Soa, 2004 - 2009.
Ðåçþìå: Ðàçãëåäàíè ñà ìàòåìàòè÷åñêèòå õàðàêòåðèñòèêè íà áúëãàðñêàòà èçáîðíà ñèñòåìà, èçïîëçâàíà â Áúëãàðèÿ ñëåä 1990 ã.
Ïðåäñòàâåíè ñà îïòèìèçàöèîííè çàäà÷è, âúçìîæíè èçáîðíè ïàðàäîêñè è íîâè àëãîðèòìè çà ðàçïðåäåëÿíå íà ìàíäàòèòå.
Abstract: The mathematical characteristics of the Bulgarian system
for parliamentary elections since 1990 is discussed. Optimization problems,
possible paradoxes and new algorithms for proportional seat distribution
are considered.
6. M. Konstantinov, J. Boneva, P.Petkov, V. Todorov. Higher order Frechet
derivatives of matrix power functions
of UBM
Proc. of the 37nd Spring Conf.
, pp. 143 - 148, Borovetz, 2008.
Ðåçþìå: Èçó÷åíè ñà ïðîèçâîäíèòå ïî Ôðåøå îò ïî-âèñîê ðåä íà
ìàòðè÷íèòå ñòåïåííè ôóíêöèè
X → X p , p ∈ Q, X ∈ Cn×n .
Ïîëó-
÷åíèòå ðåçóëòàòè ìîãàò äà ñå ïðèëîæàò ïðè àíàëèçà íà òî÷íîñòòà
íà àïðîêñèìàöèÿòà ïî Òåéëîð íà òåçè ôóíêöèè è ïðè ïåðòóðáàöèîííèÿ àíàëèç íà íåëèíåéíè ìàòðè÷íè óðàâíåíèÿ.
Abstract: In this paper we study higher order Frechet derivatives of
matrix power function
X → X p , p ∈ Q, X ∈ Cn×n .
The results
obtained may applied to the accuracy estimation of Taylor approximations
of matrix power functions as well as to the perturbation analysis of nonlinear matrix equations.
7. J.Boneva, M. Konstantinov, P. Petkov. Perturbation analysis of the
block-Shur
(3 × 3)
- form of a matrix.
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Annual of The UACG,45,2012.
Ðåçþìå: Íàìåðåíè ñà ïåðòóðáàöèîííè ãðàíèöè çà áëî÷íàòà (3 × 3)
Øóð ôîðìà íà ìàòðèöà. Èçïîëçâàíè ñà ìåòîäà íà ðàçöåïâàùèòå
îïåðàòîðè, ìàæîðàíòèòå íà Ëÿïóíîâ è ïðèíöèïèòå íà íåïîäâèæíàòà òî÷êà. Íàìåðåíè ñà ëîêàëíè è íåëîêàëíè ïåðòóðáàöèîííè ãðàíèöè. Ðàçãëåäàíè ñà è ÷èñëîâè ïðèìåðè.
Abstract: In this paper we derive perturbation bounds for the block
Schur (3×3) - form of a matrix using the method of splitting operators,
the technique of Lyapunov majorants and xed point principles. We
nd local perturbation of a rst asymptotic order as well as non-linear
non-local bounds. Numerical examples are also considered.
8. S. Dimovski, E. Hristov, J. Boneva. Complex application of the natural
electric eld method and charget body methods for estimating the
hydrogeological conditions of the rocks surrounding a railroad tunnel.
Simpozonului Intern. "Universitaria Ropet. 2002, pp. 168-175, Petrosani,
2002.
Ðåçþìå:  ðàáîòàòà ñà ïîêàçàíè âúçìîæíîñòèòå íà ãåîôèçè÷íèòå
ìåòîäè çà ðåøàâàíå íà ïðîáëåìè îò èíæèíåðíàòà ãåîëîãèÿ.
Abstract: The present work is illustrating the possibilities of the geophysical
methods for status control of the hydro-geological conditions of the
rocks surrounding a tunnel through which is running a railroad. To
solve this problem a geophysical surveying is performed applying the
natural electric eld method and the charged body method.
9. Ì. Êîíñòàíòèíîâ, Ï. Ïåòêîâ, Â. Òîäîðîâ, Â. Ïàøåâà, Ì. Òîäîðîâ,
Ã. Ïåëîâà, Þ. Áîíåâà. Äèñêóñèÿ Íîâ êóðñ ïî ìàòåìàòèêà çà òåõíè÷åñêèòå óíèâåðñèòåòè.
Ìàòåìàòèêà è ìàò. îáðàçîâàíèå, 2011,
40 Ïðîëåòíà Êîíô. ÑÌÁ,
ñòð. 147 - 150, Áîðîâåö, 2011.
Ðåçþìå: Â òàçè äèñêóñèÿ ñå ðàçãëåæäàò îñíîâíèòå ïðîáëåìè íà
ïðåïîäàâàíåòî íà ìàòåìàòèêà â òåõíè÷åñêèòå óíèâåðñèòåòè.
Abstract: This discussion covers the basic problems of teaching mathematics
at the technical universities.
10. M. Konstantinov, K. Yanev, G. Pelova, J. Boneva. Optimization problems
in the Bulgarian slectoral system.
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39-th Intern. Conf. AMEE, June 8-
13, 2013, Sozopol
Ðåçþìå: Ðàçãëåäàíè ñà íÿêîè îïòèìèçàöèîííè
ïðîáëåìè ñâúðçàíè ñ èçáèðàòåëíàòà ñèñòåìà â Áúëãàðèÿ. Íàïðàâåíè ñà åêñïåðèìåíòè ñ ðåçóëòàòè îò ðåàëíè èçáîðè.
Abstract: In this paper we consider several optimization problems
for the Bulgarian bi-proportional electoral systems. Experiments with
dataa from real elections are presented. In this way a series of previous
investigation of the authors is further developed.
Ñáîðíèê íàó÷íè äîêëàäè, Âòîðà ìåæäóíàðîäíà êîíôåðåíöèÿ íà ÅÏÓ,
9-10.06.2012.
11. G. Pelova, J. Boneva. The theory of probability with MATLAB.
Abstract:Some aspects of solving problems connected of the theory of
probability are considered.
Ðåçþìå: Ðàçãëåäàíè ñà íÿêîè îñíîâíè çàäà÷è çà äèñêðåòíè è íåïðåêúñíàòè ñëó÷àéíè âåëè÷èíè. Ðåøåíè ñà êîíêðåòíè ïðèìåðè ñ ïîìîùòà
ía ñèñòåìàòà MATLAB.
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