Катедра "Математически анализ и диференциални уравнения"

• Ръководител катедра

  
  

  Име:	Радослав Цветков
  Научна степен:	доц. д-р
  Кабинет:	2322
  E-mail:	rado_tzv@tu-sofia.bg

Академичен състав

проф. д-р	Георги Венков тел.:02 965-3357 каб.:2218 E-mail: gvenkov@tu-sofia.bg
доц. д-р	Алексей Николов тел.:02 965-3341 каб.:2205 E-mail: ajn@tu-sofia.bg
доц. д-р	Катя Дишлиева каб.:2309 E-mail: kgd@tu-sofia.bg
доц. д-р	Радослав Цветков каб.:2322 E-mail: rado_tzv@tu-sofia.bg
доц. д-р	Стоян Димитров каб.:2564 E-mail: sdimitrov@tu-sofia.bg
ас. д-р инж.	Мирослава Иванова тел.:02 965-3495 каб.:2568 E-mail: mj_ivanova@tu-sofia.bg
ас.	Ирена Първанова тел.:02 965-3495 каб.:2568 E-mail: irena.parvanova@tu-sofia.bg
ас.	Людмила Иванова тел.:02 965-2360 каб.:2244 E-mail: liuivanova@tu-sofia.bg
гл. ас. д-р	Екатерина Лазарова тел.:02 965-2360 каб.:2244 E-mail: ekk.m@tu-sofia.bg
гл. ас. д-р	Иван Иванов тел.:02 965-3353 каб.:2206 E-mail: ivan.s.ivanov@tu-sofia.bg
гл. ас. д-р	Костадин Шейретски тел.:02 965-2353 каб.:2206 E-mail: sheyretski@tu-sofia.bg
гл. ас. д-р	Мирослав Стоенчев тел.:02 965-2353 каб.:2206 E-mail: mrs@tu-sofia.bg
гл. ас. д-р	Христо Генев тел.:02 965-2462 каб.:2543 E-mail: h_genev@tu-sofia.bg

Хоноруван преподавател

проф. д.м.н.	Йорданка Панева тел.:02 965-2340 каб.:2203 E-mail:jpk@tu-sofia.bg
доц. д. м. н.	Огнян Каменов тел.:02 965-2482 каб.:2207 E-mail:okam@tu-sofia.bg
проф. д-р	Красимира Проданова тел.:02 965-3355 каб.:2220 E-mail:kprod@tu-sofia.bg

• FRACTIONAL-DIFFERENTIAL MODEL OF CONVECTION STABILITY
  
• ANALYTICAL SOLUTIONS OF MULTIDIMENSIONAL FRACTIONAL-INTEGRO-DIFFERENTIAL EQUATIONS OF FEL (FREE ELECTRON LASER) TYPE
  
• ON THE LAUWERIER FORMULATION OF THE TEMPERATURE FIELD PROBLEM IN OIL STRATA
  
• Exact periodic solutions of the sixth-order generalized Boussinesq equation
  
• Periodic solutions of the non-integrable convective fluid equation
  
• Exact Periodic Solutions of the Nonintegrable Kawahara Equation
  
• New Periodic Exact Solutions of the Kuramoto-Sivashinsky Evolution Equation
  
• EXACT PERIODIC SEISMIC WAVES IN THE NIKOLAEVSKII MODEL
  
• Discrete Laplace-Beltrami Operators for Cortical Bioelectric Source Imaging
  
• Decay and scattering in energy space for the solution of weakly coupled Schrödinger–Choquard and Hartree–Fock equations
  
• On Uniqueness for the Generalized Choquard Equation
  
• Instability of solitary waves for the generalized Klein–Gordon–Hartree equation
  
• Unconditional well-posedness in the energy space for the Ginzburg-Landau equation
  
• Stability of solitary waves for the generalized Klein–Gordon–Hartree equation
  
• On the Cauchy problem for the nonlinear heat equation,
  
• On the extended Strichartz estimates for the nonlinear heat equation
  
• Existence and Uniqueness of Ground States for p-Choquard Model
  
• On the decay of solutions to a class of Hartree equations
  
• Soliton and blow-up solutions to the time-dependent Schrödinger-Hartree equation
  
• Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential
  
• Математически методи за цифрова обработка
  
• Global stability of integral manifolds for reaction-diffusion Cohen-Grossberg-type delayed neural networks with variable impulsive perturbations
  
• Relations between spheroidal and spherical harmonics
  
• Low–frequency electromagnetic scattering by a perfectly conducting torus. The Rayleigh approximations
  
• LORETA With Cortical Constraint: Choosing an Adequate Surface Laplacian Operator
  
• Extended Strichartz estimates for the heat equation with a Strichartz type potential
  
• Local and global space-time integrability for the inhomogeneous heat equation
  
• On the well-posedness in Lorentz spaces for the inhomogeneous heat equation
  
• Decay in energy space for the solution of fourth-order Hartree-Fock equations with general non-local interactions
  
• Decay in energy space for the solutions of generalized Schrödinger-Hartree equation perturbed by a Potential
  
• On the magnetic radial Schrodinger-Hartree equation
  
• A note on the decay in the energy space of the radial solution to the forth-order NLS on the wavegades Rd x T
  
• On the Well-Posedness for The Complex Ginzburg–Landau Equation on the Product Manifold R^d X T
  
• On a Generalized Gagliardo–Nirenberg Inequality with Radial Symmetry and Decaying Potentials
  
• Scattering for Systems of N Weakly Coupled NLS Equations on R^ D x M^ 2 in the Energy Space
  
• Local uniqueness of ground states for the generalized Choquard equation
  
• To make a coffee by bicycle riding: Achieving sustainable development in higher education institutions step by step
  
• Ensuring Sustainability: Leadership Approach Model for Tackling Procurement Challenges in Bulgarian Higher Education Institutions
  
• Математически анализ 1
  
• The generalized Fox–Wright function: the Laplace transform, the Erdélyi–Kober fractional integral and its role in Fractional Calculus
  
• Hyper-Bessel functions as multi-index Mittag-Leffler functions: Integrals and derivatives of arbitrary orders (Open Access)
  
• A survey on Bessel type functions as multi-index Mittag-Leffler functions: Differential and integral relations
  
• Bessel type functions as multi-index Mittag-Leffler functions: Erdélyi–Kober integral relations
  
• Series in Le Roy type functions: Theorems in the complex plane
  
• Series in Le Roy type functions: A set of results in the complex plane –A survey
  
• From Bessel to Multi-Index Mittag-Leffler Functions: Enumerable Families, Series in them and Convergence
  
• Theorems on the convergence of series in generalized Lommel-Wright functions
  
• Multi-index (3m-parametric) Mittag-Leffler functions and fractional calculus
  
• A family of hyper-Bessel functions and convergent series in them
  
• Differential and integral relations in the class of multi-index Mittag-Leffler functions
  
• On the multi-index Mittag-Leffler functions and their Mellin transforms
  
• Multi-index Le Roy functions of Mittag-Leffler-Prabhakar type
  
• Hyper-Bessel functions as multi-index Mittag-Leffler functions:
  
• Taylor series for the Mittag-Leffler functions and their multi-Index analogues
  
• On multi-index Whittaker function, related integrals and inequalities
  
• Convergence of series in three parametric Mittag-Leffler functions
  
• Series in Mittag-Leffler functions: inequalities and convergent theorems
  
• Ръководство за упражнения по Математически анализ 2
  
• On the multi-index Mittag-Leffler series and their boundary behaviour
  
• Overconvergence of series in generalized Mittag-Leffler functions
  
• Series in Le Roy type functions: inequalities and convergence theorems
  
• Prabhakar functions of Le Roy type: Inequalities and asymptotic formulae
  
• Prabhakar function of Le Roy type: A set of results in the complex plane
  
• On some estimates and asymptotic formulae in the class of multi-index Mittag-Leffler functions
  
• On some relations in the class of multi-index Mittag-Leffler functions
  
• Laplace transform (Part 1) of the multi-index Mittag-Leffler-Prabhakar functions of Le Roy type
  
• Erdelyi-Kober fractional integrals (Part 2) of the multi-index Mittag-Leffler-Prabhakar functions of Le Roy type
  
• Going Next after “A Guide to Special Functions in Fractional Calculus”: A Discussion Survey
  
• New intuitionistic fuzzy operations, operators and topological structures
  
• Application of Game Method for Modelling and Temporal Intuitionistic Fuzzy Pairs to the Forest Fire Spread in the Presence of Strong Wind
  
• Intuitionistic fuzzy inclusion indicator of intuitionistic fuzzy sets
  
• Short remark on fuzzy sets, interval type-2 fuzzy sets, general type-2 fuzzy sets and intuitionistic fuzzy sets
  
• On the number of pairs of positive integers x, y < H such that x^2+y^2+1, x^2+y^2+2 are square-free
  
• Consecutive square-free values of the form [αp], [αp] + 1
  
• Pairs of square-free values of the type n^2+1, n^2+2
  
• A logarithmic inequality involving prime numbers
  
• Diophantine approximation with one prime of the form p=x^2+y^2+1
  
• Diophantine approximation by Piatetski-Shapiro primes
  
• On a diophantine inequality with prime powers of a special type
  
• , A ternary diophantine inequality over special primes
  
• The quaternary Piatetski-Shapiro inequality with one prime of the form p=x^2+y^2+1
  
• On an equation with prime numbers close to squares
  
• On a logarithmic equation by primes
  
• A ternary diophantine inequality by primes with one of the form p=x^2+y^2+1
  
• On a tangent equation by primes
  
• On an equation by primes with one Linnik prime
  
• A Bombieri -- Vinogradov type result for exponential sums over Piatetski-Shapiro primes
  
• A diophantine equation involving special prime numbers
  
• A ternary diophantine inequality by primes near to squares
  
• Square-free values of n^2+n+1
  
• On the distribution of αp modulo one over Piatetski-Shapiro primes
  
• A tangent inequality over primes
  
• Square-free values of [n^c tan^ θ (log n)]
  
• Consecutive square-free numbers [n^c tan^θ (log n)], [n^c tan^θ (log n)]+1
  
• Square-free numbers of the form x^2+y^2+z^2+z+1 and x^2+y^2+z+1
  
• A quinary diophantine inequality by primes with one of the form p=x2+y2+1
  
• Primes of the form [nc] with Square-Free n
  
• Model and Neural Controller for a Distributed Parameter System
  
• “ЗАПОМНЯНЕ” НА ФУНКЦИИ С ИЗПОЛЗВАНЕ НА МИНИМАЛЕН БРОЙ ТОЧКИ И НА SUBDIVISION СХЕМИ
  
• МОДЕЛИРАНЕ НА ВЕТРОГЕНЕРАТОР И ПРОГНОЗИРАЩО УПРАВЛЕНИЕ С НЕВРОННА МРЕЖА
  
• Modeling of Series Resonant DC-DC Power Converters
  
• Fault section estimation in electric power distribution system with Elman neural network
  
• Modelling and control by neural network of electric vehicle traction system
  
• Modeling and design of a boost converter with neural networks
  
• Mathematical Model of Induction Heating with Heat Transfer of Cylindrical Body for Pressing Treatment
  
• Model-based Optimization of a Boost DC-DC Converter
  
• Computer Investigation of SEPIC DC-DC Converter for LED Lighting Applications
  
• Optimization of bidirectional converter for applications in electric vehicles
  
• Model-based optimization of an llc-resonant dc-dc converter (Open Access)
  
• Comparision between clasical and modern methods for optimal control of buck DC/DC converter
  
• Application of Neural Network for Smart Control of a Buck DC/DC Converter
  
• Mathematical model of the process of volumetric induction heating of cylindrical pieces
  
• A Double Layer Model of the Electromagnetic and Thermal Processes in Induction Heating of Ferromagnetic Material
  
• Model and Controller for a Distributed Parameter System
  
• Loop Shaping Design of Distributed Parameter System
  
• Numerical analysis and optimal control of induction heating hardening
  
• Model and Predictive Control for a Wind Turbine
  
• On the spatial distribution of the electromagnetic field in small-radius planar coil inductive discharges
  
• Modeling and Robust Control of Wind Turbine
  
• Perturbation analysis of the LMI-based continuous-time linear quadratic regulator problem for descriptor systems (Open Access)
  
• Serial ZVS DC-DC converter for supercapacitor charging
  
• Modelling of single transistor parallel ZVS DC-DC converter
  
• Modelling of a converter in an energy storage system with parallel working units
  
• Wind Turbine Model and Loop Shaping Controller Design
  
• Optimal Control of Energy Flows in Smart Grid for Charging of Electric Vehicle in Parking
  
• Distribution non-uniformity of the accumulated plastic strain at 3D simulation of single and multi-angled ECAE processes using a movable Ram-Die
  
• Development of Control Strategy for Charging Electric Vehicles in Micro and Nanogrid
  
• Modeling the Vehicle Traction System and Developed Neural Predictive Controller
  
• Mixed Sensitive Controller Design for Wind Turbine
  
• Axial Evolution of the Electron Energy Distribution in Capacitive Discharges
  
• Innovative methods for control of electric vehicles
  
• Comparsion of different methods for controlling DC-DC converters in constant current mode
  
• Mathematical Model for Determination of Energy Cycles in EVs
  
• Modeling and Control of Wind Turbine Tower Vibrations
  
• Sensitivity Analysis of the Continuous-time LMI – based H∞ Quadratic Stability Problem
  
• Modeling of hybrid DC-DC converter for autonomous power supply
  
• Model-based synthesis of control for power electronic converters
  
• Modeling of Hybrid Systems with Renewable Energy Sources for Smart Home
  
• Improving the dynamics of power electronic devices based on mathematical models
  
• Synthesis of induction brazing system control based on artificial intelligence
  
• Control of LED driver based on narma L2 controller
  
• Model-based estimation of transmission gear ratio for driving energy consumption of an EV
  
• Modeling and Design of a Buck DC-DC Converter with Feed Forward Neural Networks
  
• Model-Based Optimization of a Serial Resonant DC-DC Power Converter
  
• MATLAB/Simulink-Based Linearization Model of a Boost DC-DC Converter
  
• Design Consideration of Charging Station with Hybrid Energy Sources
  
• Charging Station for Electric Vehicles, Based on Micro Gas Turbine, Fuel Cell and Supercapacitor
  
• Modeling and Simulation of a Low-Cost Fast Charging Station Based on a Micro Gas Turbine and a Supercapacitor
  
• Modeling Hybrid Power Supply for Autonomous Working System
  
• Model-Based Optimization of Resonant Inverters with Electro-Technological Applications
  
• Modeling of Small-Scale Hydrokinetic Turbine for Distributed Generation
  
• Model-based Optimization of SEPIC DC-DC Converter
  
• Modelling of an Electronic Technological System for Induction Melting of Metals
  
• Tolerance Analysis of SEPIC DC-DC Converter
  
• Matlab-Based Design Consideration of Series ZVS Single-Ended Resonant DC-DC Converter
  
• Intelligent Design of ZVS Single-Ended DC/AC Converter Based on Neural Network
  
• Charging Station for Electric Vehicles, Based on Micro Gas Turbine
  
• Software Implementation of Methods for Optimal Design of Power Electronic Devices
  
• ОПРОСТЕН МАТЕМАТИЧЕСКИ МОДЕЛ НА ПАРОГЕНЕРАТОР ПГВ – 1000
  
• Modeling and Simulation of Thermal-Hydraulic Processes in General PWR Core in MATLAB Environment
  
• 2-D heat transfer problems in Scilab environment
  
• A Simulator of Vertical U-tube Steam Generator in SCILAB Environment
  
• A Model of a Dynamic System with Distributed and Discrete Parameters
  
• On some integrals of convolution type
  
• H 2-scattering for Systems of Weakly Coupled Fourth-order NLS Equations in Low Space Dimensions
  
• Explicit Solutions of Protter’s Problem for a 4-D Hyperbolic Equation Involving Lower Order Terms with Constant Coefficients
  
• On the existence and uniqueness of a generalized solution of the Protter problem for (3+1)-D Keldysh-type equations
  
• Singular Solutions to a (3+ 1)-D Protter-Morawetz Problem for Keldysh-Type Equations
  
• Generalized solutions of Protter problem for (3+1)-D Keldysh type equations
  
• Singular solutions to Protter's problem for (3+1)-D degenerate wave equation
  
• Integral Form of the Generalized Solution of a Darboux-Goursat Problem with Third-Type Boundary Condition
  
• Protter-Morawetz Problem for a Keldysh-Type Equation with Power-Type Degeneracy of Order m = 4/3
  
• Improved Asymptotic Representation of the Singular Solutions of a 4-D Problem for Keldysh-Type Equations
  
• On the Generalized Solutions of a Boundary Value Problem for Multidimensional Hyperbolic and Weakly Hyperbolic Equations
  
• Exact Solutions of Protter Problems for the Wave Equation in R^4 with Third-Type Boundary Condition
  
• One parameter family of elliptic curves and the equation x^4+y^4+kx^2y^2=z^2
  
• Intuitionistic fuzzy conjunctions and disjunctions from second type
  
• Scaled aggregation operations over two and three - dimensional index matricies
  
• On the classical diophantine equation x^4 + y^4 + kx^2y^2 = z^2
  
• INTUITIONISTIC FUZZY CONJUNCTIONS AND DISJUNCTIONS FROM FIRST TYPE
  
• Intuitionistic fuzzy conjunctions and disjunctions from third type
  
• Symmetric diophantine systems
  
• Combinatorial Etudes and Number Theory
  
• Advanced stochastic approaches for option pricing based on Sobol sequence
  
• Efficient Monte Carlo algorithms for integral equations
  
• СИМЕТРИЧНИ ДИОФАНТОВИ УРАВНЕНИЯ И СИСТЕМИ
  
• Classical Symmetric Diophantine Systems
  
• Elliptic curves and Diophantine equations
  
• MATHEMATICS OF THE 2023 LOCAL ELECTIONS IN BULGARIA
  
• Математическо моделиране на надлъжното движение на роботизиран строителен манипулатор
  
• Числено изследване на математически модели на надлъжното движение на роботизиран строителен манипулатор
  
• Аналитично и числено изследване на линеаризиран математически модел на надлъжното движение на роботизиран строителен манипулатор
  
• МАТЕМАТИКА II примерни тестове за самоподготовка на студенти в икономическите висши учебни заведения
  
• Синтез на система за автоматично управление на хоризонталното праволинейно движение на роботизиран строителен манипулатор
  
• Моделиране и изследване на удар в буфер на роботизиран строителен манипулатор
  
• Mathematical modeling of the longitudinal motion of a robotic construction manipulator with a freely suspended payload
  
• Trajectory Planning of a Robotic Construction Manipulator Motion Based on a Fifth-Degree Polynomial with Preassigned Maximum Velocity and Acceleration
  
• Mатематическo моделиране на роботизиран строителен манипулатор
  
• A study on the design and production of sustainable accessories for children's clothing
  
• Изследване на линейно движение на роботизиран строителен манипулатор
  
• Extremal Properties of a Functional Dependent on a Small Parameter
  
• Evaluation of the Asymptotic Expansion of a Numerical Function
  
• An Analysis of Seasonal Fluctuations and Forecasting of Some Production Capacities Generated by Photovoltaic Power System
  
• On the Preservation with Respect to Nonlinear Perturbations of the Stability Property for Nonautonomous Linear Neutral Fractional Systems with Distributed Delays
  
• On Stability Criteria Induced by the Resolvent Kernel for a Fractional Neutral Linear System with Distributed Delays
  
• A Comparison of a Priori Estimates of the Solutions of a Linear Fractional System with Distributed Delays and Application to the Stability Analysis
  
• Integral Representation for the Solutions of Autonomous Linear Neutral Fractional Systems with Distributed Delay
  
• Existence of Absolutely Continuous Fundamental Matrix of Linear Fractional System with Distributed Delays
  
• Integral Representation of the Solutions for Neutral Linear Fractional System with Distributed Delays
  
• Asymptotic stability of nonlinear perturbed neutral linear fractional system with distributed delay
  
• Hyers–Ulam and Hyers–Ulam–Rassias stability for Linear Fractional Systems with Riemann–Liouville Derivatives and Distributed Delays
  
• On variation of constant formulae for linear fractional delayed system with Lebesgue integrable initial conditions
  
• On the Existence and Uniqueness of Solutions for Neutral-Type Caputo Fractional Differential Equations with Iterated Delays: Hyers–Ulam–Mittag–Leffler Stability