On pathological solutions to an optimal boundary control problem for linear parabolic equation
The study of optimal control problems for linear parabolic equations with unbounded coefficients in the main part of elliptic operator. The peculiarities of this type of equations. Setting of the optimal control problem and its preliminary analysis.
Подобные документы
Characteristics of the main principles of construction of cubic maps and base points. Planarizations, their common properties. The proof of the theorem determine a cubic, quadratic and normal forms of planarizations. Complex and real classification.
учебное пособие, добавлен 30.07.2016Applications of the mathematics of harmony as a new interdisciplinary direction of modern science. Algorithmic measurement theory, number systems with irrational bases and their applications in computer science, the hyperbolic Fibonacci functions.
статья, добавлен 24.06.2016The results of the participants of the scientific seminar "Problems of elementary divisor rings" concerning the Bezout rings of finite stable range. The conditions under which these rings are elementary divisor rings. These rings introduced Kaplansky.
статья, добавлен 19.02.2016The study of the theory of probability. Determination of the relative frequency. Moments of random variables. Central limit teorema. Aksioma Richesky Probability. Studies Cumulative Distribution Functions. A communication system for random fluctuations.
лекция, добавлен 25.11.2013Study of the content of Galileo's revolution in science, which introduced into science the analytical method typical of the general modern thinking. Familiarization with the method of determining the laws of motion of objects using time functions.
статья, добавлен 10.04.2023Basic Concepts, examples of Floating Point Calculations. Gaussian Elimination with Partial Pivoting. Bisection, Newton’s Method, and the Secant Rule. Basic Quadrature Rules. Some Elements of the Theory. Special Devices for Integration and case study.
учебное пособие, добавлен 25.11.2013Characteristic of a Krull–Schmidt Theorem for nonassociative algebras. Definition of the upper annihilating series. Study of some families of nilpotent evolution algebras. Classification of four- and five-dimensional nilpotent evolution algebras.
статья, добавлен 24.01.2017Separating the foundations of mathematics from philosophy. Difference between the theory of formal systems theory and evidence. Classical first order predicate logic. Elementary and full analysis. Existing proof theory. Infinitely long expressions.
статья, добавлен 09.09.2012Analysis of the improvement of piezoelectric transducers. A special place is occupied by piezoelectric transducers in electric, underwater acoustics, where they are intended for radiation and reception of acoustic vibrations in air or aquatic environment.
статья, добавлен 30.08.2016Search of the Dirichlet series with zero abscissa of absolute convergence. Study of asymptotic equality features. The convergence at different points. The role of the Dirichlet series in number theory. The behavior of the three-dimensional function.
статья, добавлен 19.02.2016Basic formulas of combinatorial analysis. Theorem of addition of probabilities of incompatible events. Theorem of multiplication of probabilities. Bayes’s formulas. Mathematical operations over random variables. Properties of a distribution function.
курс лекций, добавлен 27.10.2013The order and lower order of an entire function. Using the Fourier series method to study the properties of subharmonic functions. The subharmonic function in the complex plane. The finite system of rays. The class of delta-subharmonic functions.
статья, добавлен 27.06.2016Закон первой цифры, возможности и области его применения. История возникновения закона Бенфорда. Вероятность нахождения первой цифры в данных, основанных на источниках из реальной жизни. Виды тестов программы "Digital Analysis", разработанной Нигрини.
реферат, добавлен 21.09.2021Johann Carl Friedrich Gauss - a German mathematician. His outstanding scientific achievements. The fundamentals of modern balancing and mathematical statistics (the least squares method). Developing number theory, analysis, differential geometry.
презентация, добавлен 22.01.2016Criterion of boundedness of L-index in direction for functions f(z; m). Analogue of Hayman’s theorem for entire functions of bounded l-index. The study of boundedness of L-index in direction for some infinite products. Possible ways of construct.
статья, добавлен 19.02.2016Role of Euler`s number in differential and integral calculus, in algebra. Consideration of a new limit for the number e and giving its rigorous proof using the apparatus of mathematical analysis. Combinatorial interpretation is given for Euler’s number.
статья, добавлен 28.08.2020The natural connection between interassociates and variants of a semigroup. Variants of regular semigroups. Connection interassociates with commutative dimonoids. Study interassociates of the free semigroup with two generators using computer modeling.
статья, добавлен 27.06.2016Consideration the results of simulation definition spectral analysis of signals, which consist of harmonic signals with noninteger periods. Studied the change of spectral components by changing width of Fourier transformation by discarding samples.
статья, добавлен 29.01.2016Tiling of the limit space under the action of a (self-similar) subgroup. Self-similar groups and their limit spaces. Subgroup tilings of limit spaces. Tilings of limit spaces of abelian and nilpotent groups. Functional analysis to nilpotent Lie groups.
статья, добавлен 27.06.2016