Geodesic
The test Volterra equation of the first kind in integral models of developing systems containing $n$ age groups
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 122, pp. 168-179

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The paper addresses the test integral Volterra equations of the first kind in integral models of developing systems. Earlier, models consisted of two and three age groups of elements. Here the authors generalized the results to the case of an arbitrary number of groups. Along with the theoretical results, numerical calculations are given for the test example. Calculations illustrate the validity of theoretical estimates.
Keywords: developing system, age groups, test Volterra equations of the first kind, numerical solution, instability. 
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     author = {A. S. Apartsyn and I. V. Sidler},
     title = {The test {Volterra} equation of the first kind in integral models of developing systems containing  $n$ age groups},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {168--179},
     publisher = {mathdoc},
     volume = {23},
     number = {122},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_122_a7/}
}
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A. S. Apartsyn; I. V. Sidler. The test Volterra equation of the first kind in integral models of developing systems containing  $n$ age groups. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 122, pp. 168-179. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_122_a7/