Title of article
A necessary and sufficient condition for oscillation of the Sturm–Liouville dynamic equation on time scales
Author/Authors
O. Dosly، نويسنده , , Ond?ej and Hilger، نويسنده , , Stefan، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
12
From page
147
To page
158
Abstract
In this paper, we investigate oscillatory properties of the second order Sturm–Liouville dynamic equation on a time scale (∗)(r(t)xΔ)Δ+c(t)xσ=0.Using the so-called trigonometric transformation we establish a necessary and sufficient condition for oscillation of (∗). This condition is then used to derive an explicit oscillation criterion for this equation.
Keywords
Sturm–Liouville dynamic equations , Trigonometric transformation , Symplectic dynamic systems , Measure chain , Time scales
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2002
Journal title
Journal of Computational and Applied Mathematics
Record number
1551724
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