Results 81 to 90 of about 19,956 (200)
On fredholm property of a periodic type boundary value problem
Summary: In the paper we study Fredholm property of a boundary value problem in a finite domain of a class of second-order differential equation of elliptic type in a separable Hilbert space. Sufficient conditions that provide regular and Fredholm solvability of the given problem, are found. These conditions are expressed only by the coefficients.
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Fredholm Properties for Pencils [PDF]
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Fredholm properties and nonlinear Dirichlet problems for mixed type operators
AbstractFor a class of linear partial differential operators of mixed elliptic–hyperbolic type with homogeneous Dirichlet data on the entire boundary of suitable planar domains, we exploit the recent spectral theory of Lupo et al. [2] to establish a Fredholm alternative for weak solutions of the linear Dirichlet problem.
LUPO, DANIELA ELISABETTA +2 more
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A New Wavelet Method for Solving a Class of Nonlinear Volterra-Fredholm Integral Equations
A new approach, Coiflet-type wavelet Galerkin method, is proposed for numerically solving the Volterra-Fredholm integral equations. Based on the Coiflet-type wavelet approximation scheme, arbitrary nonlinear term of the unknown function in an equation ...
Xiaomin Wang
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The authors have previously studied two - dimensional Fredholm integral operators with homogeneous kernels of fiber - singular type. For this class of operators, the symbolic calculus is built using the theory of biloc al operators by V.
Vladimir Mikhaylovich Deundyak +1 more
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On numerical methods for solving hypersingular integral equations on infinite line
Background. Hypersingular integral equations on infinite line that arise in many problems of mathematical physics are considered. Materials and methods. Hypersingular equations are studied in Sobolev spaces, which are represented by Fourier series with a
Yuriy G. Smirnov +2 more
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On the Fredholm Property of the Trace Operators Associated with the Elastic Layer Potentials
We deal with the system of equations of linear elastostatics, governing the equilibrium configurations of a linearly elastic body. We recall the basics of the theory of the elastic layer potentials and we extend the trace operators associated with the ...
Giulio Starita, Alfonsina Tartaglione
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On new strong versions of Browder type theorems
An operator T acting on a Banach space X satisfies the property (UWΠ) if σa(T)∖ σSF+−$\begin{array}{} \sigma_{SF_{+}^{-}} \end{array} $(T) = Π(T), where σa(T) is the approximate point spectrum of T, σSF+−$\begin{array}{} \sigma_{SF_{+}^{-}} \end{array} $
Sanabria José +4 more
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Background. The purpose of this work is to study the 3-D scalar problem of scattering a plane wave from an inhomogeneous solid covered with an infinitely thin layer of graphene. Material and methods.
Aleksey A. Tsupak
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Hardy spaces of generalized analytic functions and composition operators
We present some recent results on Hardy spaces of generalized analytic functions on D specifying their link with the analytic Hardy spaces. Their definition can be extended to more general domains Ω . We discuss the way to extend such definitions to more
Pozzi Elodie
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