Non-spectrality of a class of second order ordinary differential operators
✍ Scribed by Héctor J. Sussmann
- Publisher
- John Wiley and Sons
- Year
- 1970
- Tongue
- English
- Weight
- 668 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0010-3640
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📜 SIMILAR VOLUMES
The existing literature usually assumes that second order ordinary differential equations can be put in first order form, and this assumption is the starting point of most treatments of ordinary differential equations. This paper examines numerical schemes for solving second order implicit non-linea
## Abstract In this paper we deal with boundary value problems equation image where __l__ : __C__^1^([__a, b__], ℝ^__k__^) → ℝ^__k__^ × ℝ^__k__^ is continuous, __μ__ ≤ 0 and __φ__ is a Caratheodory map. We define the class __S__ of maps __l__, for which a global bifurcation theorem holds for the
## Abstract Generalized second order differential operators of the form $ {d \over {d \mu}} {d \over {dx}} $ when __μ__ is a selfsimilar measure whose support is the classical Cantor set are considered. The asymptotic distribution of the zeros of the eigenfunctions is determined. (© 2004 WILEY‐VCH
## Abstract This paper extends the results of the two previous papers in several directions. For one we allow slower decay of the coefficients, but higher order differentiability. For this an expansion for the diagonalizing transformations is derived. Secondly unbounded coefficients are permitted.