Far Eastern Mathematical Journal

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Fredholm formulae for kernels which are linear with respect to parameter

I. M. Novitskii

2002, issue 2, P. 173–194

Abstract

In this paper, we construct formulae, which are similar to the classical determinant formulae of Fredholm, for solving second-kind integral equations in $L_2(\mathbb{R})$ with continuous on $\mathbb{R}^2$ Carleman kernels of the form $H(s,t)+\mu G(s,t)$, where $\mu$ is a complex parameter

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References

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