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Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (3): 235-246.

• 论文 • 上一篇    下一篇

SOLUTIONS OF THE GENERAL n-TH ORDER VARIABLE COEFFICIENTS LINEAR DIFFERENCE EQUATION

周之虎   

  1. Anhui Architecture Industry College, Hefei
  • 收稿日期:1992-10-12 出版日期:1994-03-18 发布日期:1994-03-18

SOLUTIONS OF THE GENERAL n-TH ORDER VARIABLE COEFFICIENTS LINEAR DIFFERENCE EQUATION

Zhou Zhi-hu   

  1. Anhui Architecture Industry College, Hefei
  • Received:1992-10-12 Online:1994-03-18 Published:1994-03-18

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摘要： In this paper.variable operator and its product with shifting operator are studied.The product of power series of shifting operator with variable coefficient is defined andits convergence is proved under Mikusinski’s sequence convergence.After turning ageneral variable coefficient linear difference equation of order n into a set of operatorequations.we can obtain the solutions of the general n-th order variable coefficientlinear difference equation.

Abstract: In this paper.variable operator and its product with shifting operator are studied.The product of power series of shifting operator with variable coefficient is defined andits convergence is proved under Mikusinski’s sequence convergence.After turning ageneral variable coefficient linear difference equation of order n into a set of operatorequations.we can obtain the solutions of the general n-th order variable coefficientlinear difference equation.

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