Voir la notice de l'article provenant de la source Cambridge University Press
Willett, D. Oscillation on Finite or Infinite Intervals of Second Order Linear Differential Equations(1). Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 539-550. doi: 10.4153/CMB-1971-096-8
@article{10_4153_CMB_1971_096_8,
author = {Willett, D.},
title = {Oscillation on {Finite} or {Infinite} {Intervals} of {Second} {Order} {Linear} {Differential} {Equations(1)}},
journal = {Canadian mathematical bulletin},
pages = {539--550},
year = {1971},
volume = {14},
number = {4},
doi = {10.4153/CMB-1971-096-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-096-8/}
}
TY - JOUR AU - Willett, D. TI - Oscillation on Finite or Infinite Intervals of Second Order Linear Differential Equations(1) JO - Canadian mathematical bulletin PY - 1971 SP - 539 EP - 550 VL - 14 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-096-8/ DO - 10.4153/CMB-1971-096-8 ID - 10_4153_CMB_1971_096_8 ER -
%0 Journal Article %A Willett, D. %T Oscillation on Finite or Infinite Intervals of Second Order Linear Differential Equations(1) %J Canadian mathematical bulletin %D 1971 %P 539-550 %V 14 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-096-8/ %R 10.4153/CMB-1971-096-8 %F 10_4153_CMB_1971_096_8
[1] 1. Banks, D., Bounds for eigenvalues and generalized convexity, Pacific J. Math. 13 (1963), 1031-1052. Google Scholar
[2] 2. Elbert, A., On the solutions of the differential equation y"+q(x)y = 0, where [q(x)]γ is concave, II, Studia Sci. Math. Hung. 4 (1969), 257-266. Google Scholar
[3] 3. Fink, A. M., On the zeros of y"+py = Q with linear, convex, and concave p, J. Math. Pures Appl. 46 (1967), 1-10. Google Scholar
[4] 4. Fink, A. M. and Mary, D. F. St., On an inequality of Nehari, Proc. Amer. Math. Soc. 21 (1969), 640-642. Google Scholar
[5] 5. Galbraith, A., On the zeros of solutions of ordinary differential equations of the second order, Proc. Amer. Math. Soc. 17 (1966), 333-337. Google Scholar
[6] 6. Hartman, P. and Wintner, A., On an oscillation criterion of Lyapunov, Amer. J. Math. 73 (1951), 885–890. Google Scholar
[7] 7. Hartman, P. and Wintner, A., On an oscillation criterion of de la Vallée Poussin, Quart. Appl. Math. 13 (1955), 330-332. Google Scholar
[8] 8. Lyapunov, A., Sur une série relative à la théorie des équations différentielles linéaires à coefficient périodiques, C.R. Acad. Sci. Paris, 123 (1896), 1248-1252. Google Scholar
[9] 9. Opial, Z., Sur les intégrales oscillantes de l'équation différentielle u"+f(t)u = 0, Ann. Polon. Math. 4 (1958), 308-313. Google Scholar
[10] 10. Opial, Z., Sur une inégalité de C. de la Vallée Poussin dans la théorie de l'équation différentielle linéaire du second ordre, Ann. Polon. Math. 6 (1959–60), 87-91. Google Scholar
[11] 11. Ron veaux, A., Equations différentielles du second ordre: distances entre zéro et extremum des solutions, Ann. Soc. Sci. Bruxelles Sér. I, 84 (1970), 5-20. Google Scholar
[12] 12. de la Vallée Poussin, C., Sur l'équation différentielle linéaire du second ordre, J. Math. Pures Appl. 8 (1929), 125-144. Google Scholar
[13] 13. Willett, D., Classification of second order linear differential equations with respect to oscillation, Advances in Math. 3 (1969), 594-623. Google Scholar
[14] 14. Willett, D., A necessary and sufficient condition for the oscillation of some linear second order differential equations, Rocky Mt. Math. J. 1 (1970), 357-365. Google Scholar
Cité par Sources :