Geodesic
Computer calculation of green's functions for third-order ordinary differential equations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I, Tome 165 (2019), pp. 3-9

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In this paper, we present a method of computer calculation of Green's function in the form of generalized power series for third-order linear differential equations admitting regular singularities. For specific boundary-value problems, we construct Green's functions by using the software proposed.
Keywords: ordinary differential equation, boundary-value problem, Green function, symbol-numerical computation, computer simulation. 
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     author = {I. N. Belyaeva and N. A. Chekanov and L. V. Krasovskaya and N. N. Chekanova},
     title = {Computer calculation of green's functions for third-order ordinary differential equations},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     volume = {165},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_165_a0/}
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I. N. Belyaeva; N. A. Chekanov; L. V. Krasovskaya; N. N. Chekanova. Computer calculation of green's functions for third-order ordinary differential equations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I, Tome 165 (2019), pp. 3-9. http://geodesic.mathdoc.fr/item/INTO_2019_165_a0/