Published August 1967
| Published
Journal Article
Open
The Asymptotic Behavior of a Class of Nonlinear Differential Equations
- Creators
- Cohen, Donald S.
Abstract
We shall study the asymptotic behavior for t → ∞ of solutions of the following nonlinear differential equation: (1) u" + f(t, u) = 0. We suppose that f(t, u) satisfies the following conditions: H-1: f(t, u) is continuous in D : t ≥ 0, - ∞ < u < ∞. H-2: The derivative of f_u exists on D and satisfies f_u(t, u) > 0 on D. H-3: |f(t, u(t))| ≤ f_u(t, 0) | u(t) | on D.
Additional Information
© 1967 American Mathematical Society. Received by the editors October 5, 1966. This work was supported by the National Science Foundation under Grant No. GP-4597 at the California Institute of Technology.Attached Files
Published - S0002-9939-1967-0212289-3.pdf
Files
S0002-9939-1967-0212289-3.pdf
Files
(196.5 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:87d56f8307c1f37367f6db32a87b3f47
|
196.5 kB | Preview Download |
Additional details
- Eprint ID
- 100720
- Resolver ID
- CaltechAUTHORS:20200114-141950464
- GP-4597
- NSF
- Created
-
2020-01-14Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field