On solvability of a partial integral equation in the space ${L_2(Ω\timesΩ)}$

Details On solvability of a partial integral equation in the space ${L_2(Ω\timesΩ)}$ On solvability of a partial integral equation in the space ${L_2(Ω\timesΩ)}$

2008-04-03

arxiv.org/abs/0804.0472v1

Physics

Mathematical Physics

9 pages

Scientific paper

In this paper we investigate solvability of a partial integral equation in
the space $L_2(\Omega\times\Omega),$ where $\Omega=[a,b]^\nu.$ We define a
determinant for the partial integral equation as a continuous function on
$\Omega$ and for a continuous kernels of the partial integral equation we give
explicit description of the solution.

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