Abstract
In this paper, we establish some criteria under which the second order formally self-adjoint dynamic equation (p(t)xΔ)∇ + q(t)x = 0 is of limit-point type on a time scale T. As a special case when T = ℝ, our results include those of Wong and Zettl [11] and Coddington and Levinson [5]. Our results are new in a general time scale setting and can be applied to difference and q-difference equations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 99-108 |
| Number of pages | 10 |
| Journal | Nonlinear Dynamics and Systems Theory |
| Volume | 9 |
| Issue number | 1 |
| State | Published - 2009 |
Keywords
- Limit-circle
- Limit-point
- Second-order equation
- Time scales
ASJC Scopus subject areas
- Mathematical Physics
- Applied Mathematics