New Trends in the Applications of Differential Equations in Sciences: NTADES 2024, Saints Constantine and Helena, Bulgaria, July 710 [Kietas viršelis]

Part1.Applications in Mathematical Physics.- Ground states of
Schrödinger-Poisson-Slater equations with linear non-local
 terms.- Interpolation of Sobolev spaces for Laplace operator with contact
interaction.-Exact travelling wave solutions to several fully nonlinear PDE
and radial solutions of boundary value problem to the Liouville equation in
circular domains in the plane.- Recent developments in the methodology of the
Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear
differential equations.- Forward stability conditions and
applications.- Exact solutions of the Troeschs problem.- Pavlina Atanasova,
Valentin Georgiev, On the special cases of the Jacobi elliptic function
solutions of the (2+1)-dimensional Sine-Gordon equation.- An application of
the method of simplest equation for exact real solutions of the model for
spatial - time interaction of populations.- A characterization of the
K-functional for the algebraic version of the trigonometric Jackson integrals
Gs,n in generalized weighted integral metric.- Mixed semicontinuous fully
nonlinear evolution inclusions.- Nonlinear waves in the
diffusion-advection-reaction model of interacting populations incorporating
nonlocal effects and long range diffusion.- Physic informed neural networks
for solving nonstandard initial-boundary value problem for second order
hyperbolic equation.- Approximate solution of the optimal control problem
with the Hukuhara derivative equation with rapidly fluctuating coefficients
on a finite interval.- Travelling wave solutions of the Wu-Zhang system of
PDE.- Physics informed neural networks for solving predator-prey models.-
Part2. Applications in Mechanics.- On nonlinear waves in microtubules
generated by means of a linear simple equation.- On a mathematical model
describing pollution processes in a channel.- On nonlinear waves in
microtubules generated by means of simple equation of Bernoulli
kind.- Analysis of non-periodic buckling in an axisymmetric thin uniform
shell.- On nonlinear waves in microtubules.- An education facility for design
and mathematical modeling of 4 bar linkage mechanism.- Part3. Applications in
Numerical Methods and Computer Science.- An improved interpolation error
estimate from a new Taylor-like formula: Application to finite element
method.- Mixed finite element method applied to sixth-order eigenvalue
problem.- Advanced unbiased Monte Carlo for multidimensional Fredholm
integral equations.- Novel stochastic sequences for multidimensional air
pollution modelling.- Advanced stochastic method for linear algebraic
systems.- Stochastic approaches for the mutidimensional Volterra integral
equation.- Numerical analysis of a difference scheme family for solving
semilinear hyperbolic PDEs.- Numerical solution of switched systems with
delay.- Part4. Applications in Financial Mathematics.- Multicriteria
optimization approach for investment project financing evaluation and
decision making.- Application of weighted t-tests for loss-given-default
forecasts validation.- A comparison of deep neural network and convolutional
neural network for credit card fraud detection.- Studying the dependency
between household income and consumption of basic food commodities in
Bulgaria.- Accurate lattice-based models for pricing European options.-
Advanced Monte Carlo optimizations for multidimensional European style
options.- Part5. Applications in Mathematical Biology.- Comparison of exact
solutions of model equations connected to the SIS and SIR model of epidemics
spread.- Comparison of exact solutions of model equations connected to the
SIR and SEIR model of epidemic spread.- Part6. Applications in Fractional
Analysis.- Ulam type stability of Volterra fractional integral equations of
variable-order.- Exact solitary wave solutions of the time-fractional
fifth-order KdV-type equation via extended Simple Equations
Method(SEsM).- Existence for a nonlinear boundary value problem for
Riemann-Liouville fractional differential equations of variable order.

Angela Slavova graduated from the University of Ruse, Bulgaria, with a degree in Computer Engineering and obtained her Master's degree in 1986. From 1992 to 1993, she was awarded a Fulbright Scholarship at the Florida Institute of Technology, Florida, USA. She earned her PhD in Mathematics in 1994. Since 2004, Professor Slavova has served as the Head of the Department of Mathematical Physics at the Institute of Mathematics, Bulgarian Academy of Sciences. Since 2023, she has held the position of Full Professor at the Institute of Mechanics, Bulgarian Academy of Sciences.