Study of solvability of boundary value problems for one singular differential equation
Journal of computational and engineering mathematics, Tome 10 (2023) no. 2, pp. 17-25
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In this paper, the abstract theory of functional-differential equations is applied to some singular second-order differential equation, which is a generalization of equations encountered in the theory of chemical reactions. The result is based on the properties of the Green's operator of the corresponding linear problem.
Keywords:
functional differential equations, quasilinear boundary value problems, linear equation, singular equation, unique solvability, well-defined solvability, finite-dimensional parametrizability, Green's operator.
@article{JCEM_2023_10_2_a1,
author = {A. V. Kungurtseva and I. A. Kolesnikov},
title = {Study of solvability of boundary value problems for one singular differential equation},
journal = {Journal of computational and engineering mathematics},
pages = {17--25},
year = {2023},
volume = {10},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JCEM_2023_10_2_a1/}
}
TY - JOUR AU - A. V. Kungurtseva AU - I. A. Kolesnikov TI - Study of solvability of boundary value problems for one singular differential equation JO - Journal of computational and engineering mathematics PY - 2023 SP - 17 EP - 25 VL - 10 IS - 2 UR - http://geodesic.mathdoc.fr/item/JCEM_2023_10_2_a1/ LA - en ID - JCEM_2023_10_2_a1 ER -
%0 Journal Article %A A. V. Kungurtseva %A I. A. Kolesnikov %T Study of solvability of boundary value problems for one singular differential equation %J Journal of computational and engineering mathematics %D 2023 %P 17-25 %V 10 %N 2 %U http://geodesic.mathdoc.fr/item/JCEM_2023_10_2_a1/ %G en %F JCEM_2023_10_2_a1
A. V. Kungurtseva; I. A. Kolesnikov. Study of solvability of boundary value problems for one singular differential equation. Journal of computational and engineering mathematics, Tome 10 (2023) no. 2, pp. 17-25. http://geodesic.mathdoc.fr/item/JCEM_2023_10_2_a1/