Examples of using Differential operators in English and their translations into Bulgarian
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On adjoint linear differential operators….
These differential operators became known as'Newcomb operators'.
Integral transforms and differential operators.
He defined differential operators of arbitrary order Dt.
Stated a number of problems about differential operators.
His book Linear differential operators had been published two years earlier in 1954.
Volume 2 contains Bott's papers on differential operators.
Formal properties of differential operators are studied in many of his contributions, in particular in his early papers he worked on commuting differential operators.
In these papers a special role is played by expansions in terms of the eigenfunctions of linear differential operators.
He had written the book Linear differential operators two years earlier in 1954.
His many fundamental contributions in topology and differential geometry andtheir application to Lie groups, differential operators and mathematical physics.
His major treatise on Pseudo Differential Operators was published in Japanese in 1974.
For his deep discoveries in topology and differencial geometry andtheir applications to Lie groups, differential operators and mathematical physics.
This work updates his original book Linear Partial Differential Operators(1963) which contained the results which led to his award of the Fields Medal.
United States for his deep discoveries in topology and differential geometry andtheir applications to Lie groups, differential operators and mathematical physics.
In particular Calderón wanted to describe a calculus for elliptic differential operators and, from this beginning in the 1950s, the theory of pseudodifferential operators grew in the 1960s.
Other areas which Study worked on were straight lines in elliptic space, with his student at Bonn J L Coolidge, andhe simplified the method of differential operators.
In a lecture in 1945[Petrovsky] explicitly asked for a general theory of linear differential operators including those which do not appear in the mathematical models of physics….
He then undertook doctoral studies, supervised by Jacob T Schwartz, andhe was awarded a PhD from Yale in 1956 for his thesis Extension theory of differential operators.
Consideration of the Schrödinger equation leads to perturbation problems for partial differential operators, where the change may occur in the coefficients of the operator or in boundary conditions.
Frank's most influential papers were probably those concerned with the analytical perturbation of operators on Banach spaces andhis studies on the essential spectrum of certain singular elliptic differential operators.
Operational and convolutional calculi of local andnonlocal boundary value problems for differential operators of integer and fractional order, generalization of the Duhamel principle for space variables in problems of mathematical physics.
Newcomb showed how to extend Laplace 's series to give a perturbing function in the case of elliptical orbits by introducing differential operators which act on the Laplace coefficients.
In 1993, together with V V Zhikov and S M Kozlov,Oleinik published a Russian work Averaging of differential operators and in the following year an English translation appeared with the title Homogenization of differential operators and integral functionals.
Garding, describing Hörmander's contributions that earned him the Fields Medal,writes in of early contributions by Hadamard to linear differential operators which led to the first complete results by Petrovsky.
This is so called the linear differential operator.
This closure is also called a linear differential operator.
He replaced the differential operator d/dx by a variable p transforming a differential equation into an algebraic equation.
Where D is our differential operator.
Where D is the differential operator.