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Asymptotic properties of linear fourth order differential equations
Author:
Shair Ahmad
Journal:
Proc. Amer. Math. Soc. 59 (1976), 45-51
MSC:
Primary 34C10
MathSciNet review:
0409974
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Abstract: Asymptotic behavior of solutions is studied for the general fourth order linear homogeneous differential equation with bounded coefficients. It is shown that roughly the same qualitative behavior as in the constant coefficient case holds.
- [1]
Shair
Ahmad, On the oscillation of solutions of a class of linear fourth
order differential equations, Pacific J. Math. 34
(1970), 289–299. MR 0268455
(42 #3352)
- [2]
W.
A. Coppel, Stability and asymptotic behavior of differential
equations, D. C. Heath and Co., Boston, Mass., 1965. MR 0190463
(32 #7875)
- [3]
E. Esclangon, Nouvelles recherches sur les functions quasi-périodiques, Ann. Obs., Bordeaux 16 (1917), 15-226.
- [4]
A.
C. Lazer, The behavior of solutions of the differential equation
𝑦”’+𝑝(𝑥)𝑦′+𝑞(𝑥)𝑦=0,
Pacific J. Math. 17 (1966), 435–466. MR 0193332
(33 #1552)
- [5]
Y.
P. Singh, The asymptotic behavior of solutions
of linear third order differential equations, Proc. Amer. Math. Soc. 20 (1969), 309–314. MR 0237885
(38 #6164), http://dx.doi.org/10.1090/S0002-9939-1969-0237885-0
- [1]
- Shair Ahmad, On the oscillation of solutions of a class of linear fourth order differential equations, Pacific J. Math. 34 (1970), 289-299. MR 42 #3352. MR 0268455 (42:3352)
- [2]
- W. A. Coppel, Stability and asymptotic behavior of differential equations, Heath, Boston, Mass., 1965. MR 32 #7875. MR 0190463 (32:7875)
- [3]
- E. Esclangon, Nouvelles recherches sur les functions quasi-périodiques, Ann. Obs., Bordeaux 16 (1917), 15-226.
- [4]
- A. C. Lazer, The behavior of solutions of the differential equation
 , Pacific J. Math. 17 (1966), 435-466. MR 33 #1552. MR 0193332 (33:1552)
- [5]
- Y. P. Singh, The asymptotic behavior of solutions of linear third order differential equations, Proc. Amer. Math. Soc. 20 (1969), 309-314. MR 0237885 (38:6164)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1976-0409974-2
PII:
S 0002-9939(1976)0409974-2
Keywords:
Differential equation,
linear,
bounded,
dimension,
asymptotic
Article copyright:
© Copyright 1976 American Mathematical Society
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