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- W2988625046 abstract "Applying Laplace transform on a generalized acoustical radiosity equation results in a special Fredholm integral equation of the second kind with $lambda =1$ being the integral coefficient. The kernel of the equation contains a varying exponential complex parameter. The values of the parameter that make $lambda =1$ be an eigenvalue of the kernel are defined in this paper as $L$-eigenvalues of the kernel, and the corresponding eigenfunctions are called $L$-eigenfunctions. The interest of this study is on the properties of the $L$-eigenvalues, $L$-eigenfunctions and the residues of related function at the $L$-eigenvalues. A set of theorems with a series of lemmas as bases are given and proven. They construct an integrated ensemble to reveal the decay structure of the generalized acoustical radiosity system with finite nonzero initial excitation." @default.
- W2988625046 created "2019-11-22" @default.
- W2988625046 creator A5086544414 @default.
- W2988625046 date "2019-06-01" @default.
- W2988625046 modified "2023-09-26" @default.
- W2988625046 title "On a special integral equation with an exponential parameter in the kernel" @default.
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- W2988625046 doi "https://doi.org/10.1216/jie-2019-31-3-431" @default.
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