Oscillation on Finite or Infinite Intervals of Second Order Linear Differential Equations(1)
Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 539-550
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Recently, Ronveaux [11] has shown how to use a combination of a Riccati transformation and a homographie transformation to estimate both from below and above the distance between a zero and the succeeding or preceding extremum (zero of y' ) of solutions of 1.1 In this paper, we show how such transformations can be used to derive an equation from which the distance between successive zeros of a solution y of (1.1) can be estimated directly.
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
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