On Bu-Hamiltonian Equations in Mechanics of Infinite-Dimensional Systems

被引：4
|
作者：
Budochkina, S. A. [1 ]
Savchin, V. M. [1 ]
机构：
[1] Peoples Friendship Univ Russia, Moscow 117198, Russia
来源：
DOKLADY MATHEMATICS | 2011年 / 84卷 / 01期
关键词：
Poisson Bracket; Dimensional System; Doklady Mathematic; Hamiltonian Equation; Integrodifferential Equation;
D O I：
10.1134/S1064562411050012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Bu-Hamiltonian equations in mechanics of infinite-dimensional systems are studied. The equation of motion represented in the operator form is considered. A linear operator is called Bu-Hamiltonian with respect to the bilinear form if there exists an operator. The representability of this operator equation in the form of a Bu-Hamiltonian equation is studied. The representability of an equation depending on linear operator in the form of a B-Hamiltonian equation is also studied.
引用
收藏
页码：525 / 526
页数：2
相关论文
共 50 条
12345