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

页码：525 / 526

页数：2

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