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SOLUTIONS OF THE GENERALn-TH ORDER VARIABLE COEFFICIENTS LINEAR DIFFERENCE EQUATION

SOLUTIONS OF THE GENERAL n-TH ORDER VARIABLE COEFFICIENTSLINEAR DIFFERENCE EQUATION
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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. 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.
作者 周之虎
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第3期235-246,共12页 应用数学和力学(英文版)
关键词 Mikusinskis operator. variable operator. convergence. lineardifference equation with variable coefficients. solution of seriesform. operator equation Mikusinskis operator. variable operator. convergence. lineardifference equation with variable coefficients. solution of seriesform. operator equation
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