Various kinds of Riemann boundary value problems (BVPs) for analytic functions on closed curves or on open arc, doubly periodic Riemann BVPs, doubly quasi-periodic Riemann BVPs, and BVPs for ...
ABSTRACT: We consider a Hilbert boundary value problem with an unknown parametric function on arbitrary infinite straight line passing through the origin. We propose to transform the Hilbert boundary ...
Abstract: Let R_0, n be the real Clifford algebra generated by e_1, e_2, cdots, e_n satisfying e_ie_j+e_je_i=-2 delta_ij for i, j=1, 2, cdots, n. e_0 is the unit element. In this paper, we first give ...
In this paper we construct a Cauchy integral for the distributions in 𝒮′, the tempered distributions, and obtain various properties concerning this Cauchy integral. Our main goal is to show that the ...
The method of least squares is used to construct approximate solutions to the boundary value problem $\tau f = g_0, B_i(f) = 0$ for $i = 1,\ldots, k$, on the interval ...
Elliptic equations represent a fundamental class of partial differential equations that arise in numerous models of steady-state processes, ranging from heat conduction to elasticity. Their study ...
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