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
Evidence the well-posedness of Fourier problems for anisotropic parabolic equations with variable exponents of nonlinearity without any assumptions on the solution behavior and growth of the initial data as time variable tends to minus in nity.
??????, добавлен 19.02.2016Finding common solutions of linear differential equations of the fourth order, the coefficients of which satisfy the system of three differential equations of the first order. The problem of conformal mapping of polygons, whose sides are arcs of circles.
??????, добавлен 04.02.2017The optimal method of teaching trigonometric equations in the high school mathematics course based on the curriculum. The place and meaning of trigonometric equations and inequalities in the school mathematics course, features of their solution.
??????, добавлен 07.09.2023- 4. Algorithms to determine solvability of linear integro-differential equations with analytic functions
Further, we found sufficient conditions on linear Volterra integro-differential equations of the third kind to be correct in analytical functions which generalize the well-known fact of correctness of a Volterra integral equation of the second kind.
??????, добавлен 12.08.2020 Normed linear spaces. Contraction mapping theorem. Applications to differential and integral equations. Linear transformations. Product spaces and Fubini's theorem. Projection and self-adjoint operators. Gram-Schmidt orthonormalization. Fourier analysis.
???? ??????, добавлен 03.07.2013Approximations in Scientic Computation, ?omputer Arithmetic, mathematical Software. Linear Systems, solving Linear Systems, Iterative Methods for Linear Systems. Linear Least Squares, eigenvalues and Singular Values, Nonlinear Equations, optimization.
??????? ???????, добавлен 25.11.2013The study of the problem of how remains unchanged if the expected value according to probability distribution determined by minimizing the deviations among the fixed N values of a factor object. The set of all optimal strategies of the second player.
??????, добавлен 30.01.2017The algorithm of the basic components of a linear analysis. Work on nonlinear PCA, or NLPCA, autoassociative's neural networks, principal curves and manifolds, kernel the combination's of these approaches. The problem areas that require research.
??????, добавлен 08.02.2013The theory of inverse problems for differential equations as fields of applied mathematics. In article attention that when training in the inverse problems for differential equations at students scientific and cognitive potential develops is paid.
??????, добавлен 29.03.2021Mathematics as a fundamental science. The place in its structure of differential equations is one of the most harmonious ways of knowing the universe. Study of the algorithm for constructing compartmental (SIR) models, based on differential equations.
??????, добавлен 10.08.2022- 11. Equation
The concept, nature and purpose of mathematics. The process of identifying the "unknowns" in the process of solving the equation. Characteristic and distinctive features of types of equations, examples of possible solutions. Features Diophantine equation.
???????????, добавлен 07.11.2016 Solving the Cauchy problem for the heat equation with random factors as a classical problem in mathematical physics. The main stochastic processes in the Orlicz space. Estimates of the distribution of the supremum of a solution of the heat equation.
??????, добавлен 25.03.2016Dynamic Modeling with Difference Equations. Linear Models of Structured Populations. Nonlinear Models of Interactions. Modeling Molecular Evolution. Constructing Phylogenetic Trees. Infectious Disease Modeling. Curve Fitting and Biological Modeling.
??????? ???????, добавлен 25.11.2013Determination of diameter of a opening, corner of a opening and focal distance of an optical-type antenna. Calculation of a space directional diagram and determination of parameters of the parabolic antenna. Constructive calculation of the antenna.
???????, добавлен 09.11.2015An Introduction to Bayesian Inference in Process Monitoring, Control. Modern Numerical Methods in Bayesian Computation. A Bayesian Approach to Statistical Process Control. Bayes’ Rule of Information and Monitoring in Manufacturing Integrated Circuits.
??????? ???????, добавлен 25.11.2013Assessment of convergence result for the sequential procedure in the form of alternating maximization to the maximum likelihood estimation for a family of models - Generalized linear models. Variable Linear Regression procedure. Using techniques ALS.
???????? ??????, добавлен 27.08.2016Solving Linear Systems with the Inverse. Transposes and Symmetric Matrices. General Linear Systems. The Fundamental Matrix Subspaces. Minimization of Quadratic Functions. Computations in Orthogonal Bases. Orthogonal Polynomials and Least Squares.
??????? ???????, добавлен 25.11.2013Characterization of symmetric linear functionals as the simplest polynomials. The proof of the theory that every symmetric continuous linear functional on the complex space L (0,1) can be represented as the Lebesgue integral, multiplied by a constant.
??????, добавлен 25.03.2016The spectral properties of a fourth-order functional-differential operator with a summable potential are studied. The boundary conditions are separated. The solution of the functional-differential equation. The solution of the Volterra integral equation.
??????, добавлен 14.08.2020System of a quasidifferential equation with measures on the semiaxis. Linear differential operators generated by differential expressions. Asymptotics of a fundamental solution system for a quasidifferential equation with measures on the semiaxis.
??????, добавлен 25.03.2016Linear Principal Components. A linear model formulation. The Principal Curve and Surface models. Theory for principal curves and surfaces. Algorithmic details. Estimation of curves and surfaces. Gold assay pairs. Generalized linear principal components.
????????? ??????, добавлен 08.02.2013Practical methods for solving nonlinear equations. Metrological support of iterative methods for solving nonlinear equations with inaccurate initial data. Modeling the behavior of iterative methods for different values of initial data and their errors.
??????, добавлен 11.09.2022Teaching students of mathematical fields of training to inverse problems. Implementation of the scientific, educational potential of teaching university students inverse problems for differential equations. Computational methods of mathematical physics.
??????, добавлен 01.04.2021Conditions for nite sequences of positive numbers to be certain parts of spectra of the Dirichlet-Dirichlet, Dirichlet-Neumann, Neumann-Dirichlet and Neumann-Neumann boundary value problems generated by the same Stieltjes string recurrence relations.
??????, добавлен 19.02.2016Proving of the theorem on a normal limit distribution of the normalized number of false solutions of a beforehand consistent system of nonlinear random equations over the field GF(2) with additional condition on the number of nonzero components.
??????, добавлен 25.03.2016