logo Лого на Европейски технологичен университет
  • Връзки с обществеността Връзки с обществеността
  • Контакти Контакти
  • Карта на сайта Карта на сайта
  • Вход Вход
  • Език English
  • Университетът
  • Обучение
  • Кандидатстване
  • Студенти
  • Научна дейност
  • Международна дейност
  • Кариера и възпитаници
faculties_present_img
Начало » Университетът » Факултети » Факултет Приложна математика и информатика » Катедра Математически анализ и диференциални уравнения
  • За факултета
  • Управление
  • Катедри
    • Математически анализ и диференциални уравнения
    • Математическо моделиране и числени методи
    • Приложна физика
    • Информатика
  • Специалности
  • Лаборатории

Катедра "Математически анализ и диференциални уравнения"

  • За катедрата
  • Състав
  • Дисциплини
  • Публикации

Катедрата по математически анализ и диференциални уравнения е основно научно звено във Факултета по приложна математика и информатика към ТУ-София.
Академичният състав на катедрата осигурява научната и преподавателската дейност в бакалавърската и магистърската програма на редица инженерни специалности, както и на специалностите – приложна математика, информатика и геоинформационни системи.
В бакалавърската програма преподавателите от катедрата покриват:

  • Основните курсове по Висша математика 1, 2, 3 (лекции и семинари);
  • Курсовете по реален анализ 1, 2, 3 (в специалността ПМИ);
  • Курса по комплексен анализ (в специалността ПМИ);
  • Финансова математика (в специалността ПМИ);
  • Информатика 1, 2 част (в специалността ПМИ);
  • Основи на операционните системи и компютърна графика;
  • Количествени методи и статистика (семинари и лабораторни в СФ);
  • Обектно ориентирано програмиране;
  • Интегрални уравнения (в специалността ПМИ);
  • Диференциална геометрия;
  • Оптимиране (в специалността ПМИ)
  • Дисциплините по Висша математика в Немския и Френския факултет.

В магистърската степен на специалността Приложна математика и информатика се покриват следните спец. курсове:

  • Математически методи в теорията на отражението;
  • Функционален анализ и приложения;
  • Аналитични методи в нелинейните еволюционни уравнения.

Преподавателите на катедрата са научни ръководители на десетки успешно защитили дипломанти от специалността ПМИ към ФПМИ.

Интернет страница:

  • 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

  • Развитие на АС
  • Годишник на ТУ-София
  • Кариера и възпитаници
  • Е-Университет
  • Връзки с обществеността
  • Научни форуми
  • Е-Публикации
  • Еразъм харта 2021-2027
  • E-mail
  • Медиите за нас
  • Оперативни програми
  • Научен електронен архив
  • Публични търгове
  • Е-mail Студенти
  • YouTube
  • СОПКОНИ
  • Издателство
  • Профил на купувача
  • Телефонен указател
  • Facebook

Copyright © 2025 ТУ-София - ЦИР