Partial differential equations on time scales

被引：52

作者：

Ahlbrandt, CD ^{[1
]}

Morian, C

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

[2] Lincoln Univ, Dept Agr Nat Sci & Math, Jefferson City, MO 65102 USA

来源：

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

关键词：

time scales; measure chains; delta derivatives; elliptic partial differential equations; Euler-Lagrange equation; Picone identity; Sturm-Picone comparison theorem;

D O I：

10.1016/S0377-0427(01)00434-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Discrete and continuous formulations of partial differential operators are unified by a time scale formulation of partial differential operators. Results include an Euler-Lagrange equation for double integral variational problems on time scales and a Picone identity which implies a Sturm-Picone comparison theorem for second-order elliptic PDEs on time scales. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：35 / 55

页数：21

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