Examples of using Integral equations in English and their translations into Russian
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Handbook of Integral Equations.
Integral equations and its applications in mechanics;
Differential and Integral Equations.
Jaynes used the integral equations describing the invariances to directly determine the probability distribution.
Multidimensional singular integrals and integral equations.
The integral equations of the peridynamic theory can be applied directly, because they do not require partial derivatives.
In 1911, Lalescu wrote the first book ever on integral equations.
Integral equations for additive functionals on Markov processes and their use in the theory of molecular and radiative transfer.
Solvability theory of boundary value problems and singular integral equations with shift.
In this problem, the integral equations indeed have a unique solution, and it is precisely what was called"method 2" above, the random radius method.
Shouters YM Lectures on Differential Equations and Integral Equations.
In 1911, he published Introduction to the Theory of Integral Equations, the first book ever on the subject of integral equations.
Reducing boundary value problems for Laplace‟s equation to integral equations.
His interests included Sturm-Liouville theory, integral equations, variational calculus, and Fourier series.
Application of the theory of linear operators to solving linear integral equations.
Three integral equations of the first kind with the confluent hyperdeometric function of Kummer and the cut Bessel function in the kernels also are considered.
Presented program Laplace transform to solve differential and integral equations and systems.
The technique based on rigorous integral equations of electromagnetics has been developed for calculation of scattering characteristics of doubly-periodic magnetodielectric structures.
The compressibility equation is one of the many integral equations in statistical mechanics.
During his research he made discoveries in the field of one-dimensional andmultidimensional singular integral equations.
In this case, the solution of the problem is reduced to solving a system of two integral equations of Fredholm second kind; thus significantly used the theory of F.
The dissertation of Carleman under Erik Albert Holmgren,as well as his work in the early 1920s, was devoted to singular integral equations.
An attractive andsuitable method of singular integral equations is less strong because of lock of any complete theory of multidimensional singular integral equations.
The results generalize the well know findings for corresponding integral equations.
The peridynamic theory is based on integral equations, in contrast with the classical theory of continuum mechanics, which is based on partial differential equations. .
In 1943 he defended his Doctor of Sciences thesis"Boundary value problems in the theory of analytic functions and singular integral equations.
Determination of the wave features of the devices on the basis of measured parameters of the diffraction system:the integral equations method and error estimation(in Russian)// Proceedings of Popov RNTORES, No 65.
Multidimensional integral equations of the first kind with the Gauss hypergeometric function in the kernels over special bounded pyramidal domains in Euclidean space are considered.
Continuity of the tangential aperture fields and vector boundary conditions for anisotropic impedance flange yields integral equations for considered problem.
Research interests: linear algebra and its applications,asymptotic analysis of matrix spectra, integral equations of mathematical physics, computational methods.