数学物理学报(英文版) ›› 1982, Vol. 2 ›› Issue (4): 389-402.

• 论文 • 上一篇    下一篇

A DIRECT METHOD OF OPERATIONAL CALCULUS (Ⅰ)——Research for the solution of second-order linear ordinary differential equations with Variable coefficients

邱廉荣   

  1. Northwestern Polytechnical University
  • 收稿日期:1981-09-05 出版日期:1982-12-25 发布日期:1982-12-25

A DIRECT METHOD OF OPERATIONAL CALCULUS (Ⅰ)——Research for the solution of second-order linear ordinary differential equations with Variable coefficients

Qiu Lianrong   

  1. Northwestern Polytechnical University
  • Received:1981-09-05 Online:1982-12-25 Published:1982-12-25

摘要: According to Mikusinski's fundamental view,we reconstruct a direct method of operation a calbulus which may be adapted to search for the solution of differential equations with variable coefficients.
The present paper is devoted to solutions of two types——indirect (undetermined) method and direct (series of integral) method-for solving second-order linear differential equations, The latter displays forthright feature while the former can solve second-order linear differential equation and interrelate first-order Riccati's non-linear differential equation at the same time.

Abstract: According to Mikusinski's fundamental view,we reconstruct a direct method of operation a calbulus which may be adapted to search for the solution of differential equations with variable coefficients.
The present paper is devoted to solutions of two types——indirect (undetermined) method and direct (series of integral) method-for solving second-order linear differential equations, The latter displays forthright feature while the former can solve second-order linear differential equation and interrelate first-order Riccati's non-linear differential equation at the same time.