Solutions of the General <em>n</em>-th Order Variable Coefficients Linear Difference Equation

Zhou Zhi-hu

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(3): 221-231

Zhou Zhi-hu. Solutions of the General n-th Order Variable Coefficients Linear Difference Equation[J]. Applied Mathematics and Mechanics, 1994, 15(3): 221-231.

Citation:

Zhou Zhi-hu. Solutions of the General n-th Order Variable Coefficients Linear Difference Equation[J]. Applied Mathematics and Mechanics, 1994, 15(3): 221-231.

Citation:

Zhou Zhi-hu. Solutions of the General n-th Order Variable Coefficients Linear Difference Equation[J]. Applied Mathematics and Mechanics, 1994, 15(3): 221-231.

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Solutions of the General n-th Order Variable Coefficients Linear Difference Equation

Zhou Zhi-hu

Anhui Architecture Industry College, Hefei

Received Date: 1992-10-12
Publish Date: 1994-03-15

Abstract

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 the n-th order wichi is turned into a set of operatorequations.we can obtain the solutions of the general n-theth order variable coefficientlinear difference equation.
- Mikusinskis operator,
- variable operator,
- convergence

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References(3)

References

[1]	Mikusi#324;ski.Oprotional Calculus,Pergaman Press,sth.ed.,New York(1959).
[2]	Qiu Lian-rong,A direct method of operational calculus(I).Acfa Mathematia Scientia.2(4)(1982).389-402.
[3]	周之虎,关于《算符演算》中移动算符级数的一点注记,数学的实践与认识,(4)(1990),90-92.