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Error of the Finite Element Approximation for a Differential Eigenvalue Problem with Nonlinear Dependence on the Spectral Parameter in a real infinite-dimensional Hilbert space. The variational eigenvalue problem consists in finding
ITERATION METHOD OF EXPLICIT TYPE FOR SOLVING INCORRECT EQUATIONS OF FIRST KIND WITH APPROXIMATELY SPECIFIED OPERATOR kind
with nonnegative self-adjoint limited operator in Hilbert space. It aims at proving the method
On the systems of finite weights on the algebra of bounded operators and corresponding translation invariant measures operators on a Hilbert space H and some of its subalgebras. In order to achieve this we apply
two steps
On a new representation for the solution of the Riemann–Hilbert problemOn a new representation for the solution of the Riemann–Hilbert problem
Решение краевых задач для двумерного эллиптического дифференциально-операторного уравнения в абстрактном гильбертовом пространстве с помощью метода граничных интегральных уравнений in an abstract Hilbert space using the method of boundary integral equations
Sufficient conditions for the asymptotic optimality of projection methods as applied to operator equationsSufficient conditions are found for the asymptotic optimality of projection methods as applied
On some Properties of Weighted Hilbert SpacesWe describe the weighted Hilbert spaces L2;w(Ω) with positive weight functions w(x) which
The Hilbert problem: The case of infinitely many discontinuity points of coefficientsWe obtain a solution to the Hilbert boundary value problem in the theory of analytic functions
Probability measure on conjugation logicsHilbert space
Approximation of sign-indefinite spectral problemsA variational sign-indefinite eigenvalue problem in an infinite-dimensional Hilbert space
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