Nonoscillatory solutions of forced second order linear equations. - II
β Scribed by F. V. Atkinson; R. C. Grimmer; W. T. Patula
- Book ID
- 112608855
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 863 KB
- Volume
- 126
- Category
- Article
- ISSN
- 0373-3114
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let x 1n and x 2n be recessive and dominant solutions of the nonoscillatory difference equation r n-1 x n-1 + p n x n = 0. It is shown that if β f n x 1n x 2n converges (perhaps conditionally) and satisfies a second condition on its order of covergence, then the difference equation r n-1 y n-1 + p n
In this paper, we improve the Sturm comparison theorem and two nonoscillation criteria of LEIGHTON and WINTNER, and establish two variants of a WINTNER'S nonoscillatory criterion of the second order linear differential equation where r, c : [to,co) -+ IR, T > 0 a.e. on [to,m) and f , c E L 1 ( t o