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Oscillation theorems for linear second order ordinary differential equations
Authors:
J. W. Macki and J. S. W. Wong
Journal:
Proc. Amer. Math. Soc. 20 (1969), 67-72
MSC:
Primary 34.42
MathSciNet review:
0235202
Full-text PDF Free Access
References |
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Additional Information
- [1]
W. J. Coles, An oscillation criterion for second-order linear differential equations, Proc. Amer. Math Soc. 19 (1968), 755-759.
- [2]
Philip
Hartman, On non-oscillatory linear differential equations of second
order, Amer. J. Math. 74 (1952), 389–400. MR 0048667
(14,50b)
- [3]
H.
C. Howard, Oscillation and nonoscillation criteria for
𝑦”(𝑥)+𝑓(𝑦(𝑥))𝑝(𝑥)=0,
Pacific J. Math 12 (1962), 243–251. MR 0145150
(26 #2685)
- [4]
Aurel
Wintner, A criterion of oscillatory stability, Quart. Appl.
Math. 7 (1949), 115–117. MR 0028499
(10,456a)
- [5]
Z.
Opial, Sur une critère d’oscillation des
intégrales de l’équation différentielle
(𝑄(𝑡)𝑥’)’+𝑓(𝑡)𝑥=0,
Ann. Polon. Math. 6 (1959/1960), 99–104 (French). MR 0104876
(21 #3627)
- [1]
- W. J. Coles, An oscillation criterion for second-order linear differential equations, Proc. Amer. Math Soc. 19 (1968), 755-759.
- [2]
- P. Hartman, On non-oscillatory linear differential equations of second order, Amer. J. Math. 74 (1952), 389-400. MR 0048667 (14:50b)
- [3]
- H. C. Howard, Oscillation and nonoscillation criteria for
Pacific J. Math. 12 (1962), 243-251. MR 0145150 (26:2685)
- [4]
- A. Wintner, A criterion of oscillatory stability, Quart. Appl. Math. 7 (1949) 115-117. MR 0028499 (10:456a)
- [5]
- Z. Opial, Sur un critere d'oscillation des integrales de l'equation differentielle
, Ann. Polon. Math. 6 (1959), 99-104. MR 0104876 (21:3627)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1969-0235202-3
PII:
S 0002-9939(1969)0235202-3
Article copyright:
© Copyright 1969 American Mathematical Society
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