Birkhoffian Formulations of Bessel Equation  

作　　者：Wen'an Jiang Lili Xia Yanli Xu 

机构地区：[1]Department of Engineering Mechanics,Jiangsu University of Science and Technology,Zhenjiang 212003,China [2]School of Applied Science,Beijing Information Science and Technology University,Beijing 100192,China [3]School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China

出　　处：《Journal of Beijing Institute of Technology》2019年第2期234-237,共4页北京理工大学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(11702119,11502071);the Natural Science Foundation of Jiangsu Province(BK20170565)

摘　　要：The Birkhoffian mechanics is more general than the Hamilton mechanics,but only some dynamical systems can be realized as a Birkhoffian formulation.This paper proposes a novel Birkhoffian formulation for the classical Bessel equation.Based on the first method of Santilli,the Birkhoffian formulation of Bessel equation is established under the assumption that the Birkhoffian describes the total physical energy of the corresponding conservative systems.Zero and n-th order classical Bessel equations are studied to verify the effectiveness of the proposed formulation.The Birkhoffian mechanics is more general than the Hamilton mechanics,but only some dynamical systems can be realized as a Birkhoffian formulation. This paper proposes a novel Birkhoffian formulation for the classical Bessel equation. Based on the first method of Santilli,the Birkhoffian formulation of Bessel equation is established under the assumption that the Birkhoffian describes the total physical energy of the corresponding conservative systems. Zero and n-th order classical Bessel equations are studied to verify the effectiveness of the proposed formulation.

关 键 词：BIRKHOFFIAN formulations BESSEL EQUATION FIRST METHOD of Santilli 

分 类 号：O316[理学—一般力学与力学基础]