λ(n)-Parameter Families
Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 185-191

Voir la notice de l'article provenant de la source Cambridge University Press

I is an interval of R, the set of real numbers, n is a positive integer and F ⊂ Cj (I) for j ≥ 0 large enough so that the following definitions are possible:(i) Let λ(n) = (λ1, λ2,...,λk) where k, λ1, λ2,..., λk, are positive integers and λ1 + λ2 +... +λk = n. Then λ(n) is an ordered partition of n. The set of all such partitions of n is denoted by P(n).
Mathsen, Ronald M. λ(n)-Parameter Families. Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 185-191. doi: 10.4153/CMB-1969-020-9
@article{10_4153_CMB_1969_020_9,
     author = {Mathsen, Ronald M.},
     title = {\ensuremath{\lambda}(n)-Parameter {Families}},
     journal = {Canadian mathematical bulletin},
     pages = {185--191},
     year = {1969},
     volume = {12},
     number = {2},
     doi = {10.4153/CMB-1969-020-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-020-9/}
}
TY  - JOUR
AU  - Mathsen, Ronald M.
TI  - λ(n)-Parameter Families
JO  - Canadian mathematical bulletin
PY  - 1969
SP  - 185
EP  - 191
VL  - 12
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-020-9/
DO  - 10.4153/CMB-1969-020-9
ID  - 10_4153_CMB_1969_020_9
ER  - 
%0 Journal Article
%A Mathsen, Ronald M.
%T λ(n)-Parameter Families
%J Canadian mathematical bulletin
%D 1969
%P 185-191
%V 12
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-020-9/
%R 10.4153/CMB-1969-020-9
%F 10_4153_CMB_1969_020_9

[1] 1. Hartman, P., Unrestricted n-parameter families. Rend. Circ. Mat. Palermo (2) (1959) 123–142. Google Scholar

[2] 2. Mathsen, R.M., A disconjugacy condition for y"' + a" + ay' + ay = 0. Proc. Amer. Math. Soc. 17. (1966) 627–632. Google Scholar

[3] 3. Mathsen, R.M., Subfunctions for third order ordinary differential equations. (Ph.D. Thesis, University of Nebraska, Lincoln, 1965.) Google Scholar

[4] 4. Opial, Z., On a theorem of O. Arama. J. Differential Eqs. 3 (1967) 88–91. Google Scholar

[5] 5. Tornheim, L., On n-parameter families of functions and associated convex functions. Trans. Amer. Math. Soc. 69 (1950) 457–467. Google Scholar

[6] 6. Levin, A. Ju., Some problems bearing on the oscillation of solutions of linear differential equations. Soviet Math. Dakl. 4 (1963) 121–124. Google Scholar

[7] 7. Sherman, T. L., Properties of solutions of Nth order linear differential equations. Pacific J. Math. 15 (3) (1965) 1045–1060. Google Scholar

Cité par Sources :