Results 291 to 300 of about 306,077 (345)
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1989
In this chapter we will consider one-dimensional singular integral equations involving Cauchy principal values that arise from boundary value problems for holomorphic functions. The investigations of these integral equations with Cauchy kernels by Gakhov, Muskhelishvili, Vekua, and others have had a great impact on the further development of the ...
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In this chapter we will consider one-dimensional singular integral equations involving Cauchy principal values that arise from boundary value problems for holomorphic functions. The investigations of these integral equations with Cauchy kernels by Gakhov, Muskhelishvili, Vekua, and others have had a great impact on the further development of the ...
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A Method for Studying Singular Integral Equations
Siberian Mathematical Journal, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Normalization of Systems of Singular Integral Equations
Differential Equations, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Spline Collocation for Singular Integral Equations
Mathematische Nachrichten, 1983AbstractThis paper is devoted to the approximate solution of one‐dimensional singular integral equations on a closed curve by spline collocation methods. As the main result we give conditions which are sufficient and in special cases also necessary for the convergence in SOBOLEV norms.The paper is organized as follows.
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A Particular Class of Singular Integral Equations
SIAM Journal on Applied Mathematics, 1971The integral equation \[ \int_0^1 \left\{ \frac{1}{y - x} + \frac{{P_n [y/(y + x)]}}{{y + x}} \right\}\varphi (y) dy = h(x),\quad 0 < x < 1, \], with $P_n (z)$ representing a polynomial of degree n, is investigated. A change of variables $(x = \exp ( - t),y = \exp ( - t))$ transforms the equation into one of the Wiener-Hopf type.
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Generalized convolution-type singular integral equations
Applied Mathematics and Computation, 2017Ping Li
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Modeling of Graphene Planar Grating in the THz Range by the Method of Singular Integral Equations
, 2018M. Kaliberda, L. Lytvynenko, S. Pogarsky
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2012
The theory introduced in previous chapters, especially the Fredholm Theory, was presented under the restrictive assumptions that the kernel was continuous on its domain of definition and that the interval of integration was finite. There is no guarantee that those results or similar ones will hold if the kernel has an infinite discontinuity or if the ...
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The theory introduced in previous chapters, especially the Fredholm Theory, was presented under the restrictive assumptions that the kernel was continuous on its domain of definition and that the interval of integration was finite. There is no guarantee that those results or similar ones will hold if the kernel has an infinite discontinuity or if the ...
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