Geodesic
A Generalization of Čaplygin's Inequality with Applications to Singular Boundary Value Problems
Canadian journal of mathematics, Tome 25 (1973) no. 5, pp. 1024-1039

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

Let (1.1) where pk ∈ C(α, β) and - ∞ ≦ α < β ≦ ∞ . A solution of (1.1) is a nontrivial function y ∈ Cn(α, β), a neighborhood of β is an interval of the form (γ, β), α ≦ γ < β, and a neighborhood of α is an interval of the form (α, γ), α < γ ≦ β. 
Willett, D. A Generalization of Čaplygin's Inequality with Applications to Singular Boundary Value Problems. Canadian journal of mathematics, Tome 25 (1973) no. 5, pp. 1024-1039. doi: 10.4153/CJM-1973-110-x
@article{10_4153_CJM_1973_110_x,
     author = {Willett, D.},
     title = {A {Generalization} of {\v{C}aplygin's} {Inequality} with {Applications} to {Singular} {Boundary} {Value} {Problems}},
     journal = {Canadian journal of mathematics},
     pages = {1024--1039},
     year = {1973},
     volume = {25},
     number = {5},
     doi = {10.4153/CJM-1973-110-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-110-x/}
}
TY  - JOUR
AU  - Willett, D.
TI  - A Generalization of Čaplygin's Inequality with Applications to Singular Boundary Value Problems
JO  - Canadian journal of mathematics
PY  - 1973
SP  - 1024
EP  - 1039
VL  - 25
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-110-x/
DO  - 10.4153/CJM-1973-110-x
ID  - 10_4153_CJM_1973_110_x
ER  - 
%0 Journal Article
%A Willett, D.
%T A Generalization of Čaplygin's Inequality with Applications to Singular Boundary Value Problems
%J Canadian journal of mathematics
%D 1973
%P 1024-1039
%V 25
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-110-x/
%R 10.4153/CJM-1973-110-x
%F 10_4153_CJM_1973_110_x

[1] 1. Bebernes, J. W. and Jackson, L. K., Infinite boundary value problems for y” = f(x, y), Duke Math. J. 34 (1967), 39–48. Google Scholar

[2] 2. Čaplygin, S. A., New methods in the approximate integration of differential equations (Russian), Moscow: Gosudarstv. Izdat. Tech.-Teoret. Lit. (1950). Google Scholar

[3] 3. Levin, A. Ju., Non-oscillation of solutions of the equation x(n) + p1(t)x(n_1) + … + pn(t)x = 0, Uspehi Mat. Nauk 24 (1969), 43-96. (Russian Math. Surveys 24 (1969), 43–100). Google Scholar

[4] 4. Pólya, G., On the mean-value theorem corresponding to a given linear homogeneous differential equation, Trans. Amer. Math. Soc. 24 (1922), 312–324. Google Scholar

[5] 5. Pólya, G. and Szegö, G., Aufgaben und Lehrsätze der Analysis, Vol. II (Springer-Verlag, Berlin, 1954). Google Scholar

[6] 6. Willett, D., Asymptotic behaviour of disconjugate nth. order differential equations, Can. J. Math. 23 (1971), 293–314. Google Scholar

[7] 7. Willett, D., Disconjugacy tests for singular linear differential equations, SI AM J. Math. Anal. 2 (1971), 536–545 (Errata : ibid, 3 (1972)). Google Scholar

[8] 8. Willett, D., Oscillation on finite or infinite intervals of second order linear differential equations, Can. Math. Bull. 14 (1971), 539–550. Google Scholar

Cité par Sources :