@article{RSMUP_1979__61__61_0, author = {Powder, Charles}, title = {An existence theorem for solutions of $n$-th order nonlinear differential equations in the complex domain}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {61--90}, publisher = {Seminario Matematico of the University of Padua}, volume = {61}, year = {1979}, mrnumber = {569652}, zbl = {0439.34009}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_1979__61__61_0/} }
TY - JOUR AU - Powder, Charles TI - An existence theorem for solutions of $n$-th order nonlinear differential equations in the complex domain JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1979 SP - 61 EP - 90 VL - 61 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_1979__61__61_0/ LA - en ID - RSMUP_1979__61__61_0 ER -
%0 Journal Article %A Powder, Charles %T An existence theorem for solutions of $n$-th order nonlinear differential equations in the complex domain %J Rendiconti del Seminario Matematico della Università di Padova %D 1979 %P 61-90 %V 61 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_1979__61__61_0/ %G en %F RSMUP_1979__61__61_0
Powder, Charles. An existence theorem for solutions of $n$-th order nonlinear differential equations in the complex domain. Rendiconti del Seminario Matematico della Università di Padova, Tome 61 (1979), pp. 61-90. http://archive.numdam.org/item/RSMUP_1979__61__61_0/
[1] An asymptotic analog of the Fuchs regularity theorem, J. Math. Anal. Appl., 16 (1966), pp. 138-151. | MR | Zbl
,[2] On the instability theory of differential polynomials, Ann. Mat. Pura Appl., 74 (1966), pp. 83-112. | MR | Zbl
,[3] On the asymptotic behavior of solutions near an irregular singularity, Proc. Amer. Math. Soc., 18 (1967), pp. 15-21. | MR | Zbl
,[4] On solutions having large rate of growth for nonlinear differential equations in the complex domain, J. Math. Anal. Appl., 22 (1968), pp. 129-143. | MR | Zbl
,[5] An existence theorem for solutions of second order nonlinear ordinary differential equations in the complex domain, Rend. Sem. Mat. Univ. Padova, 41 (1968), pp. 276-299. | Numdam | MR | Zbl
,[6] Families of principal solutions of ordinary differential equations, Trans. Amer. Math. Soc., 107 (1963), pp. 261-272. | MR | Zbl
,[7] Contributions to the asymptotic theory of ordinary differential equations in the complex domain, Mem. Amer. Math. Soc., no. 13 (1954), 81 pp. | MR | Zbl
,[8] Principal solutions of ordinary differential equations in the complex domain, Mem. Amer. Math. Soc., no. 26 (1957), 107 pp. | MR | Zbl
,[9] On the algebraic closure of certain partially ordered fields, Trans. Amer. Math. Soc., 105 (1962), pp. 229-250. | MR | Zbl
,