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Convolution equation with a kernel represented by gamma distributions

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Abstract

The convolution integral equation is considered on the half-line and on a finite interval. Its kernel function is the distribution density of a random variable represented as a two-sided mixture of gamma distributions. The method of numerical-analytical solution of this equation is developed, and the solution of the homogeneous conservative equation on the half-line is constructed.

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Authors and Affiliations

  1. Institute of Mathematics of the National Academy of Sciences of Republic of Armenia, 24/5, Marshal Bagramyan Prosp., Yerevan, 0019, Republic of Armenia

    Ani G. Barseghyan

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  1. Ani G. Barseghyan
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Correspondence to Ani G. Barseghyan.

Additional information

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 11, No. 2, pp. 147–157, April–May, 2014.

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Barseghyan, A.G. Convolution equation with a kernel represented by gamma distributions. J Math Sci 204, 271–279 (2015). https://doi.org/10.1007/s10958-014-2201-8

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  • DOI: https://doi.org/10.1007/s10958-014-2201-8

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