Scientific Program (preliminary version)
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Financial Support by the Project KP06MNF/10
Monday, September 6th
09:30 – 10:00 Registration
10:00 – 10:10 OPENING
10:10  13:00 SESSION 1
10:10 – 10:30 Luigi Rodino, Microlocal Analysis and the work of Acad. Petar Popivanov
10:30 – 11:00 Coffee Break
11:00 – 12:00 Invited Plenary Talk
Nikolay K. Vitanov, Simple Equations Method (SEsM): Review and New Results
12:00 – 12:30 Petar Popivanov, Generic forms of nondegenerate 2nd order linear PDE in 1D
12:30 – 13:00 Nikolaj Kutev, Milena Dimova, Natalia Kolkovska, A note on orbital stability of solitary waves to double dispersion equation
13:00 – 14:00 Lunch Break
14:00  15:30 SESSION 2 APPLICATIONS IN NEUROSCIENCES
14:00 – 14:30 Alon Ascoli, On Edge of Chaos in a LocallyActive Memristor and in its Circuits
14:30 – 15:00 Angela Slavova, Pattern formation in Memristor Cellular Neural Networks
15:00 – 15:30 Maya Markova, Convolutional Neural Networks for Forex Time Series Forecasting
15:30 – 16:00 Coffee Break
16:00  18:30 SESSION 3: APPLICATIONS IN MATHEMATICAL PHYSICS
16:00 – 16:30 Zlatinka Dimitrova, Several examples of application of the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear PDEs
16:30 – 17:00 Zornitsa Petrova, Oscillations of generalizations of a fourth order dispersive equation
17:00  17:30 Nikolaj Kutev, Tsviatko Rangelov, Application of Hardy inequalities for some singular parabolic equations
17:30 – 18:00 Elena Nikolova, Mirko Tarulli, George Venkov, On the wellposedness in Lorentz spaces for the inhomogeneous heat equation
18:00 – 18:30 Ekaterina A. Titova, Boundary integral method with convection for the needle dendrite growth
19:00 Welcome party
Tuesday, September 7th
9:30  10:30 SESSION 4
9:30 – 10:30 Invited Plenary Talk
Rossella Agliardi, On optimal stopping problems arising in real option theory
10:30 – 11:00 Coffee Break
11:00  13:00 SESSION 5: APPLICATIONS IN FINANCIAL MATHEMATICS
11:00 – 11:30 Elitsa Raeva, Velizar Pavlov, Inflation as a factor in the Chain Ladder Method for estimating outstanding claims reserves
11:30 – 12:00 Ivan Georgiev, Virginia Centeno, Vesela Mihova, Velizar Pavlov, A modified ordinary differential equation approach in price forecasting
12:00 – 12:30 Vesela Mihova, Virginia Centeno, Ivan Georgiev, Velizar Pavlov, An application of modified ordinary differential equation approach for successful trading on the Bulgarian stock exchange
12:30 – 13:00 Slavi G. Georgiev, Byulent B. Idirizov, Jumpdiffusion modelling of the gold and crude oil futures prices and predictive analysis of their economic impact
13:00 – 14:00 Lunch Break
14:00  17:30 SESSION 6: APPLICATIONS IN MATHEMATICAL PHYSICS
14:00  15:00 Invited Plenary Talk
Vladimir Georgiev, Yuan Li, On mass critical halfwave equation in 3D
15:00 – 15:30 Coffee Break
15:30 – 16:00 Daniele Barbera, Vladimir Georgiev, BerisEdward’s model with absence of flow
16:00 – 16:30 Tommaso Cortopassi, Vladimir Georgiev, A generalised Nehari manifold method for a class of nonlinear Schrödinger systems in R3
16:30 – 17:00 Vladimir Georgiev, Mario Rastrelli, On Kuramoto – Sivashinsky model
17:00 – 17:30 Yoshihiro Mochimaru, Zeros of Transcendental Equations
17:30  19:30 SESSION 7: APPLICATIONS IN MECHANICS
17:30  18:00 Tsviatko Rangelov, Petia Dineva, SHwave scattering by two nanocracks in a graded PEM plane
18:00  18:30 Nilolay Kutev, Sonia Tabakova, Analysis of general unsteady flow of CarreauYasuda fluid in a pipe
18:30  19:00 Elena V. Nikolova, Mila Chilikova – Lubomirova, Exact traveling wave solutions of the Nikolaevskiy model for nonlinear seismic waves
19:00  19:30 Dmitri V. Alexandrov, Eugenya V. Makoveeva, Margarita A. Nikishina, Irina V. Alexandrova and Alexander A. Ivanov, On the theory of evolution of particulate assemblages in a metastable liquid
Wednesday, September 8th
9:30  11:00 SESSION 8: APPLICATIONS IN FRACTIONAL ANALYSIS
9:30  10:00 Snezhana Hristova, Zoubida Bouazza, Mohammed Said Souid, Nonlinear implicit differential equations of fractional order at resonance
10:00  10:30 Snezhana Hristova, Mohamed I. Abbas, Fractional differential equations with antiperiodic fractional integral boundary conditions via the generalized proportional fractional derivatives
10:30  11:00 Nikolay K. Vitanov, Simple Equations Method (SEsM) and nonlinear PDEs with fractional derivatives
11:00 – 11:30 Coffee Break
11:30  13:00 SESSION 9: APPLICATIONS IN FINANCIAL MATHEMATICS
11:30  12:00 Tihomir B. Gyulov, Miglena N. Koleva, ADI finite difference method for time–fractional multi–asset BlackScholes problem governing European options
12:00  12:30 Maya Markova, Forecasting EUR/USD exchange rate with NARX neural networks
12:30  13:00 Elena V. Nikolova, Dynamical analysis of interactions among three economic sectors
13:00 – 14:00 Lunch Break
14:00  15:30 SESSION 10: APPLICATIONS IN MATHEMATICAL PHYSICS
14:00  14:30 Petar Popivanov, Angela Slavova, Explicit solutions and geometric visualization of the solutions of several classes of nonlinear Schrödinger equations arising in physics
14:30  15:00 Zlatinka Dimitrova, On several specific cases of the simple equations method (SEsM): Jacobi elliptic function expansion method, Fexpansion method, modified simple equation method, trial function method, general projective Riccati equations method, and first integral method
15:00  15:30 Ivan P. Jordanov, Simple Equations Method applied to equations of nonlinear Schrödinger kind
15:30 – 16:00 Coffee Break
16:00  19:30 SESSION 10: APPLICATIONS IN SCIENCES
16:00  16:30 Atanaska Georgieva, Solving Volterra – Fredholm fuzzy integro – differential equations by using Homotopy analysis method
16:30  17:00 Venelin Todorov, Ivan Dimov, Tzvetan Ostromsky,Rayna Georgieva, Optimal stochastic algorithms for multidimensional sensitivity analysis of large ecological model
17:00  17:30 Ivan Georgiev, Asen Asenov, Velizara Pencheva, Optimizing the working hours of drivers in public transport of passengers
17:30  18:00 K. Damov, I. Angelov, I. Bardarov, M. Ilieva, Ivan P. Jordanov, M.T. Iliev, Vilislav Boutchaktchiev, Relative distribution of mass density in AsLV and liquids a comparison between experimental and literature data
18:00 – 18:30 M. S. Souid, K.Ivanova, Finite time stability of neutral delay impulsive differential equations
18:30 – 19:00 Todor Zhelyazov, Analytical investigation of wave propagation in a deformable viscoelastic media provoked by a transient load
19:00 – 19:30 Atanaska Georgieva, Mira Spasova, Solution of partial fuzzy integro – differential equations by double Natural transform
20:00 Official Dinner
Thursday, September 9th
9:30  10:30 SESSION 10
9:30 – 10:30 Invited Plenary Talk
Alexander Domoshnitsky, Floquet theory for delay differential equations of the first order
10:30 – 11:00 Pavel Stoynov, Applications of ST distributions to neural network and regression models
11:00 – 11:30 Nikolay Kyurkchiev, A look at the smooth approximation to f(x) using some sigmoidal functions. Applications
11:30 – 12:00 Vesselin Kyurkchiev, Anton Iliev, Asen Rahnev, Nikolay Kyurkchiev, Analysis of a novel class of the growth model by Baranyi and Roberts. Some applications
12:00 – 12:30 Maria Vasileva, Anna Malinova, Olga Rahneva, Evgenia Angelova, A note on the unit–Rayleigh ”Adaptive Function”
12:30 Closing Ceremony
