On General Solutions of Linear Differential Equations
Publications de l'Institut Mathématique, _N_S_42 (1987) no. 56, p. 47
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
This paper is concerned with the form of the general
solution of the equation (1), and the Theorem of Section 1 gives an
answer which is somewhat different from the classical Picard result.
Not only is the proof elementary, but the requests for the coefficients
are much less restrictive; see the assumption ($A_0$). On the other
hand, we had to introduce the additional assumption ($A_0$). Several
examples are constructed in order to throw more light on the importance
of those two assumptions.
Classification :
34A30
@article{PIM_1987_N_S_42_56_a6,
author = {Du\v{s}an D. Adamovi\'c and Jovan D. Ke\v{c}ki\'c},
title = {On {General} {Solutions} of {Linear} {Differential} {Equations}},
journal = {Publications de l'Institut Math\'ematique},
pages = {47 },
year = {1987},
volume = {_N_S_42},
number = {56},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1987_N_S_42_56_a6/}
}
Dušan D. Adamović; Jovan D. Kečkić. On General Solutions of Linear Differential Equations. Publications de l'Institut Mathématique, _N_S_42 (1987) no. 56, p. 47 . http://geodesic.mathdoc.fr/item/PIM_1987_N_S_42_56_a6/