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Начало » Университетът » Факултети » Факултет Приложна математика и информатика » Катедра Математически анализ и диференциални уравнения
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  • 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
проф. д-р Красимира Проданова
тел.:02 965-3355
каб.:2220
E-mail: kprod@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 Мирко Тарули
тел.:02 965-2352
каб.:2208
E-mail: mta@tu-sofia.bg
доц. д-р Радослав Цветков
каб.:2322
E-mail: rado_tzv@tu-sofia.bg
доц. д-р Стоян Димитров
тел.:02 965
каб.:2564
E-mail: sdimitrov@tu-sofia.bg
ас. Любов Маринкова
тел.:02 965-3072
каб.:10511
E-mail: ln@tu-sofia.bg
ас. Людмила Иванова
тел.:02 965-2360
каб.:2244
E-mail: liuivanova@tu-sofia.bg
ас. Мирослава Иванова
тел.:02 965-3495
каб.:2568
E-mail: mj_ivanova@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 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

  • 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
  • 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
  • СИМУЛАЦИЯ НА ИНДИВИДУАЛНАТА ПОДДЪРЖАЩА ЛЕКАРСТВЕНА ДОЗА НА БАЗАТА НА КОМПАРТИМЕНТЕН МОДЕЛ НА ОРГАНИЗМА
  • ОПТИМИЗАЦИЯ НА ПОДДЪР¬ЖАЩАТА ТЕРАПИЯ НА БАЗАТА НА КОМПАРТИМЕНТЕН ПОДХОД ЗА МОДЕЛИ-РАНЕ НА ОРГАНИЗМА
  • ОПРЕДЕЛЯНЕ НА СТАТИСТИЧЕСКИ ЗНАЧИМИТЕ ФАКТОРИЗА ПОЯВА НА АЛГОНЕВРОДИСТРОФИЯСЛЕД ФРАКТУРА НА ДИСТАЛЕН РАДИУС
  • COMPARISON OF BLOOD PARAMETERS IN LIVER TRANSPLANT PATIENTS WITH AND WITHOUT COVID-19 INFECTION
  • Prognostic imaging defined risk factors for survival time of neuroblastoma patients in Bulgaria (Open Access)
  • Prognostic factors for lethal outcome in early postoperative pediatric liver transplantation (Open Access)
  • Survey of the scoring functions for protein-ligand docking (Open Access)
  • Optimizing Multiple Drug Administration from Depot by Applying Pharmacokinetic Concepts
  • Paroxysmal Atrial Fibrillation: Insight Into the Intimate Mechanisms of Coagulation.
  • Paroxysmal atrial fibrillation: an independent risk factor for prothrombotic conditions
  • Paroxysmal atrial fibrillation: changes in factor VIII and von Willebrand factor impose early hypercoagulability
  • The Intrinsic Coagulation Pathway: Early Activation in Paroxysmal Atrial Fibrillation.
  • Paroxysmal atrial fibrillation is associated with early coagulation activity regardless of risk factors for embolism. Minerva Cardioangiologica.
  • Diagnostic Values of Some Fibrinolytic Indicators for Rejecting the Presence of Paroxysmal Atrial Fibrillation
  • Mathematical Models for the Prediction of Coagulation Activity in Patients with Paroxysmal Atrial Fibrillation
  • Nuclear Medical Diagnostic in Bulgarien Patients
  • Paroxysmal atrial fibrillation is associated with early coagulation activity regardless of risk factors for embolism
  • Management of Electricity Demand using Probability Forecast
  • Early changes in the antithrombin and thrombin-antithrombin complex in patients with paroxysmal atrial fibrillation
  • Modeling data for tilted implants in grafted with bio-oss maxillary sinuses using logistic regression
  • Protein binding of piroxicam studied by means of affinity chromatography and circular dichroism,
  • Research Project DN 12/11/December 2017 - January 2022 financed by the National Science Fund at the Ministry of Education and Science: "Stochastic and Simulation Models in medicine, social sciences and dynamic systems"
  • COMPARISON OF BINARY REGRESSION MODELS FOR THE OUTCOME OF PEDIATRIC LIVER TRANSPLANTATION
  • 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
  • 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
  • Modeling and Control of Wind Turbine Tower Vibrations
  • 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
  • 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
  • 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
  • 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

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