| A DIRECT METHOD OF OPERATIONAL CALCULUS(Ⅰ)——Research for the solution of second-order linear ordinary differential equations with variable coefficients |
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| 引用本文： | 邱廉荣.A DIRECT METHOD OF OPERATIONAL CALCULUS(Ⅰ)——Research for the solution of second-order linear ordinary differential equations with variable coefficients[J].数学物理学报(A辑),1982(4). |
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| 作者姓名： | 邱廉荣 |
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| 作者单位： | Northwestern Polytechnical |
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| 摘 要： | According to Mikusinski's fundamental view, we reconstruct a direct method of operation acalbulus which may be adapted to search for the solution of differential equations with variablecoefficients.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.
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