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Mt. Stara Planina is located in the eastern part of the Republic of Serbia and represents the westernmost part of the large mountain massif of the Balkans. Both endogenous and exogenous forces created interesting geomorphological and hydrological features for geotourism development in this area. This article proposes a preliminary list of geomorphological and hydrological sites and analyses them to reveal which geosite possesses geotourism potential. This research was carried out by applying the modified geosite assessment model. In this article, ten geosites were singled out based on the degree of their attractiveness for geotourism development. The results reveal information about the key fields of improvement for each evaluated geosite, and identify which areas require more attention and better management in the upcoming period for Mt. Stara Planina to become a well-known geotourism destination that would attract a large number of tourists in the future.

Slaba konvergencija niza pseudoverovatnoća i niza intervalno-vrednosnih pseudoverovatnoća je izučavana.Pokazani su ekvivalentni uslovi g-slabe konvergencije niza pseudoverovatnoća i niza intervalno-vrednosnih pseudoverovatnoća., Weak convergence of a sequence of pseudo-probability measures and a sequence of interval-valued pseudo- probability measures is investigated.The equivalent conditions of g-weak convergence of a sequence of pseudo-probability measures and a sequence of interval-valued pseudo-probability measures are proven.

U doktorskoj diseratciji posmatrani su singularni nelinearni problemi. U prvom poglavlju predstavljene su oznake i osnovne definicije i teoreme koje se koriste u disertaciji. U drugom poglavlju prikazani su poznati postupci i njihovo ponašanje u slučajevima da je rešenje regularno ili singularno. Takođe su pokazane poznate modifikacije ovih postupaka kako bi se poboljšala konvergencija. Posebno su predstavljena četiri kvazi-Njutnova metoda i predložene njihove modifikacije u slučaju singularnosti rešenja. U trećem poglavlju predstavljeni su teorijski okvir pri definisanju graničnih sistema i neki poznati algoritmi za njihovo rešavanje i definisan je novi algoritam koji je podjednako efikasan ali jeftiniji za rad jer ne uključuje izračunavanje izvoda. Takođe, predložena je kombinacija definisanog algortitma sa metodom negativnog gradijenta, kao i algoritam koji predstavlja primenu poznatog algoritma na definisani granični sistem. U četvrtom poglavlju predstavljeni su numerički rezultati dobijeni primenom definisanih algoritama na relevantne primere i potvrđeni su teorijski dobijeni rezultati., In this doctoral thesis nonlinear singular problems were observed. The first chapter presents basic definitions and theorems that are used in the thesis. The second chapter presents several methods that are commonly used and their behavior if the solution is regular or singular. Also, some known modifications to these methods are presented in order to improve convergence. In addition four quasi-Newton methods and their modifications in the case the singularity of the solution. The third chapter consists of the theoretical foundation for defining the bordered system, some known algorithms for solving them and new algorithm is defined to accelerate convergence to a singular solution. New algorithm is efficient but cheaper for the use since there is no derivative evaluations in it. It is presented synthesis of new algorithm with negative gradient method and using one of well known method on the bordered system as well. The fourth chapter presents the numerical results obtained by the defined algorithms on the relevant examples and theoretical results are confirmed.