Geodesic
Methods of identifying a~parameter in the kernel of the first kind equation of the convolution type on the class of functions with discontinuities
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 18 (2015) no. 2, pp. 107-120

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In this paper, we propose a regular iterative method of identifying a numerical parameter in the kernel of the integral equation of the first kind of the convolution type. It is shown that an unambiguous identification of the parameter is possible when an exact solution has discontinuities of the first kind. The convergence theorem is proved, and an example of the equation with a parameter, for which the method constructed is applicable, is given. 
@article{SJVM_2015_18_2_a0,
     author = {T. V. Antonova},
     title = {Methods of identifying a~parameter in the kernel of the first kind equation of the convolution type on the class of functions with discontinuities},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {107--120},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2015_18_2_a0/}
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T. V. Antonova. Methods of identifying a~parameter in the kernel of the first kind equation of the convolution type on the class of functions with discontinuities. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 18 (2015) no. 2, pp. 107-120. http://geodesic.mathdoc.fr/item/SJVM_2015_18_2_a0/