Institute of Mathematics and Informatics
Bulgarian Academy of Sciences

Seventh International Conference
New Trends in the Applications of Differential Equations in Sciences (NTADES'20)

1-4 September 2020, Sts. Constantine and Helena (Bulgaria)


 Important Dates


 Abstract Submission

 Main Topics

 Program Committee

 Org. Committee

 Invited Speakers



 Venue Info


Scientific Program

Financial Support by the Project KP-06-MNF/1

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Tuesday, September 1st
16:00–16:30 Registration
16:30-16:45 OPENING
17:00-18:00 SESSION 1
17:00-18:00 Invited Plenary Talk, Petar Popivanov, Microlocal nonsolvability and nonhypoellipticity of linear PDO Presentation
18:30 Welcome party
Wednesday, September 2nd
10:00-11:00 SESSION 2
10:00-11:00 Invited Plenary Talk, Elena Litsyn, Stabilizing Control of a Hysteresis Cellular Nonlinear Network Model Presentation
11:00-11:30 Coffee Break
11:30-12:30 SESSION 3 Applications in Neuroscience
11:30-12:00 Valery Covachev, Zlatinka Covacheva, Existence of periodic solutions for a modified Elman neural network Presentation
12:00-12:30 Angela Slavova, Edge of chaos in polynomial predator-prey CNN Model
12:30-14:00 Lunch Break
14:00-15:00 SESSION 4 Nonlinear PDEs
14:00-14:30 Zlatinka Dimitrova, Nikolay Vitanov, Simple Equations Method  (SEsM) and some of its particular cases
14:30-15:00 Nikolay Vitanov, Simple Equations Method (SEsM): relation to Hirota's method and to IST method
15:00-15:30 Coffee Break
15:30-18:00 SESSION 5: Applications in Financial Mathematics
15:30-16:00 Elena Nikolova, Denislav Serbezov, Nikolay Vitanov, Chaos in a generalized system for modeling dynamics of three competing economic sectors
16:00- 16:30 Pavel Stoynov, Lévy processes for financial modelling
17:30-18:00 Pavel Stoynov, Some computational methods in finance
Thursday, September 3rd
9:00-10:00 SESSION 6
9:00-10:00 Invited Plenary Talk, Vladimir Georgiev, Ground states for Beris-Edward model of liquid crystals Presentation
10:00-10:30 Coffee Break
10:30-12:00 SESSION 7: Applications of Nonlinear PDEs
10:30-11:00 Ivan Jordanov, Nikolay Vitanov, Elena Nikolova, Nonlinear travelling waves in a generalized model of interacting high density populations
11:00-11:30 Elena Nikolova, Mila Chilikova-Lubomirova, Nikolay Vitanov, Exact solutions of a generalized Sawada-Kotera equation modeling nonlinear long waves in several natural phenomena Presentation
11:30-12:00 Aleksander Stefanov, Ivan Chavdarov, Dimitar Nedanovski, Detailed dynamical model of a simple 3D printed walking Robot
12:00-14:00 Lunch Break
14:00-15:30 SESSION 8: Applications in Neurosience
14:00-14:30 Atanaska Georgieva, Iva Naydenova, Adomian decomposition method and homotopy perturbation method in solving two-dimensional Volterra-Fredholm fuzzy integral equations Presentation
14:30-15:00 Atanaska Georgieva, Mira Spasova, Solving partial fuzzy integro-differential equations using fuzzy Sumudu transform method
15:00-15:30 D. Ditchev, Z. Petrova, On the simultaneous teaching of Mathematics and new programming language in master degree
15:30-16:00 Coffee Break
16:00-18:00 SESSION 9 Applications in Mechanics
16:00-16:30 Tsviatko Rangelov, Petia Dineva, Dynamic fracture of two nano-cracks in graded elastic half-plane
16:30-17:00 Yoshihiro Mochimaru, Estimation of wood check Presentation Estimation of wood check
17:00-17:30 Nikolai Kutev, Tsviatko Rangelov, Sharp Hardy inequalities in an exterior of a ball
17:30-18:00 Tsvetelina Ivanova, Nikolay Vitanov, Analysis of the dynamics of substances in nodes of a channel of a network
19:00 Official Dinner
Friday, September 4th (online presentations)
9:00-11:00 SESSION 10: Applications in Financial Mathematics
9:00-9:30 Vyara Kostadinova, Ivan Georgiev, Vesela Mihova, Velizar Pavlov, An Application of Markov Chains in Stock Price Prediction and Risk Portfolio Optimization
9:30-10:00 Simona Georgieva, Velizar Pavlov, Claim Reserving Estimation by Using the Chain Ladder Method Presentation
10:00-10:30 Ivan Georgiev, Evelina Veleva, Emilia Pancheva, The Influence of Social Distancing on The Change of Economic Losses Presentation
10:30-11:00 Maya Markova, Credit Card Approval Model: An Application Of Deep Neural Networks Presentation
11:00-13:00 SESSION 11: Applications in Fractional Analysis
11:00-11:30 S. Hristova, T. Donchev, A. Georgieva, Finite time stability of systems of Riemann-Liouville fractional differential equations with a constant delay Presentation
11:30-12:00 Snezhana Hristova, Cemil Tunc, On the stability properties of retarded Volterra integro-fractional differential equations with Caputo derivative
12:00-12:30 Snezhana Hristova, Antonia Dobreva, Krasimira Ivanova, Practical stability of differential equations with supremum and non-instantaneous impulses Presentation
12:30-13:00 Tzanko Donchev, Semilinear Riemann-Liouville evolution inclusions with causal operators Presentation
13:00-14:30 SESSION 12: Applications in Mathematical Biology
13:00-13:30 Nikolay Kyurkchiev, Anton Iliev, Asen Rahnev, Todorka Terzieva, On the Extended Half-Logistic model by H. Bakouch with "polynomial variable transfer". Application to approximate the specific "Data BG COVID-19"
13:30-14:00 Anna Malinova, Olga Rahneva, Nikolay Pavlov,Angel Golev, Vesselin Kyurkchiev, A look at the Garima cumulative distribution function and related c.d.f.
14:00-14:30 Antonia Dobreva, Finite Time Stability for Neural Networks with Supremum
14:30-18:30 SESSION 14: Applications in Mathematical Physics
14:30-15:00 V. Vucheva, N. Kolkovska, High Order Symplectic Finite Difference Scheme for Double Dispersion Equation Presentation
15:00-15:30 Kulikov A., Kulikov D., Global attractor of periodic boundary value problem of the nonlocal Ginzburg-Landau equation
15:30-16:00 Daniele Barbera,Vladimir Georgiev, Least energy solutions for a  model of liquid crystals Presentation
16:00-16:30 Velizara Pencheva, Ivan Georgiev, Asen Asenov, Empirical evaluation of passenger waiting time in public transport by using the Monte Caro method sectors Presentation
16:30-17:00 Sedef Karakilic, Setenay Akduman, On the eigenvalues of a polyharmonic matrix operator near diffraction planes Presentation
17:00-17:30 Sevdalin Tsvetanov, Daniela Marinova, Finding the k Shortest Paths
17:30-18:00 Sevdalin Tsvetanov, Daniela Marinova, Applications of k shortest paths algorithm in vision recognition
18:00-18:30 Mirko Tarulli, Local and global space-time integrability for the inhomogeneous heat equation Presentation


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