On the subdominant solution of a second-order differential equation with a complex parameter
β Scribed by George R Gavalas
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 459 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
The equation xΠ t q x t s bx t y 1 , where ΠΈ designates the greatest integer function, can be described in brief by two amazing properties. First, for certain values of the coefficients, some or all of its solutions are monotone although the corresponding homogeneous equation is clearly oscillatory.
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