A Nyström method for a class of Fredholm integral equations on the real semiaxis
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DOI: 10.1007/s10092-016-0199-7
Abstract: A class of Fredholm integral equations of the second kind, with respect to the exponential weight function $$w(x)=\exp (-(x^{-\alpha }+x^\beta ))$$w(x)=exp(-(x-α+xβ)), $$\alpha >0$$α>0, $$\beta >1$$β>1, on $$(0,+\infty )$$(0,+∞), is considered. The kernel k(x, y) and the… read more here.
Keywords: integral equations; fredholm integral; class fredholm; nystr method ... See more keywords
A class of Fredholm equations and systems of equations related to the Kontorovich-Lebedev and the Fourier integral transforms
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DOI: 10.3906/mat-2001-24
Abstract: In this article, we solve in closed form a class of Fredholm integral equations and systems of Fredholm integral equations with nondegenerate kernels by using techniques of convolutions and generalized convolutions related to the Kontorovich-Lebedev,… read more here.
Keywords: related kontorovich; equations systems; class fredholm; integral transforms ... See more keywords