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.
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页码：35 / 55
页数：21
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