On the relaxed elastic line on pseudo-hypersurfaces in pseudo-Euclidean spaces

被引：6

作者：

Yücesan, A

Çöken, AC

Ayyildiz, N

Manning, GS

机构：

[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey

[2] Rutgers State Univ, Dept Chem & Chem Biol, New Brunswick, NJ 08903 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 155卷 / 02期

关键词：

relaxed elastic line; pseudo-Euclidean spaces; intrinsic equation; geodesics; Euler-Lagrange equations;

D O I：

10.1016/S0096-3003(03)00782-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we studied some elasticity problems for a curve on pseudo-hypersurfaces in pseudo-Euclidean spaces E-v(n). We obtained intrinsic equations for an elasticity line depending on boundary conditions and researched if an elastic line is on a geodesic. We derived the Euler-Lagrange equations for an elastic line which is lying on a pseudohypersurface. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：353 / 372

页数：20