A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales

被引：71

作者：

Dosly, O

Hilger, S ^{[1
]}

机构：

[1] Kathol Univ Eichstatt, D-85071 Eichstatt, Germany

[2] Acad Sci Czech Republ, Math Inst, CZ-61662 Brno, Czech Republic

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 141卷 / 1-2期

关键词：

time scales; measure chain; Sturm-Liouville dynamic equations; trigonometric transformation; symplectic dynamic systems;

D O I：

10.1016/S0377-0427(01)00442-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate oscillatory properties of the second order Sturm-Liouville dynamic equation on a time scale (r(t)x(Delta))(Delta) + c(t)x(sigma) = 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. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：147 / 158

页数：12

共 16 条

[1] Quadratic functionals for second order matrix equations on time scales [J].