Abstract
This paper proceeds the papers [3] [4], we make use of the idea of the variable number operators and some concepts and conclusions of the shifting operators series with variable coefficients in the operational field of Mikusinski, it is devoted to the solution of the general three-order linear difference equation with variable coefficients, and it is also devoted to the better solution formula for the some special three-order linear difference equations with variable coefficients: in addition, we try to provide the idea and method for realizing solution of the more than three-order linear difference equation with variable coefficients.
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References
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Zhou Zhi-hu, Mikusinski operator’s solution of difference equation (I).
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Qui Lian-rong, The new advance on the direct method of operational calculus — on the solution ofnth-order linear ordinary differential equations with variable coefficients,J. of Northwestern Polytechnical Uni.,5, 4 (1987), 417–425. (in Chinese)
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Communicated by Lin Zong-chi
Project Supported by the Science Foundation of Anhui Province
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Zhi-hu, Z. Mikusinski’s operators solution of three-order linear difference equation with variable coefficients. Appl Math Mech 15, 71–79 (1994). https://doi.org/10.1007/BF02451029
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DOI: https://doi.org/10.1007/BF02451029