Geodesic
On General Solutions of Linear Differential Equations
Publications de l'Institut Mathématique, _N_S_42 (1987) no. 56, p. 47
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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/}
}
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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/