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| 非线性微分方程一些新的可积类型 | |
| 引用本文： | 张学元. 非线性微分方程一些新的可积类型[J]. 零陵学院学报, 1993, 0(3) |
| 作者姓名： | 张学元 |
| 摘 要： | 设Q(x)、F(·)∈C,f(x)、g(y)、h(x)∈C’,且f(x)≠0,g(y)≠0,±y,则一阶常微分方程[1-y'(y)/g(y)(y+h(x))]dy_dx=f'(x)/f(x)(y+h(x))+Q(x)g(y)F(y+h(x)/f(x)g(y))-h'(x)可积,这结果引出了非线性微分方程一系列新的实用的可积类型。扩大了微分方程的封闭求积范围。 |
| 关 键 词： | 非线性微分方程 新的可积类型 |
Some NewINtegrable Type of Nonlinear Differential Equation |
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| Zhang xueyuan. Some NewINtegrable Type of Nonlinear Differential Equation[J]. Journal of Hunan University of Science and Engineering, 1993, 0(3) | |
| Authors: | Zhang xueyuan |
| Affiliation: | Zhang xueyuan |
| Abstract: | let Q (x), F(.)C, f(x)g(y), h(x)C',and f(x)=0,g(y)=0, +y, then first order differential equationis integrable This result indicates a scries of new practical intsgatle tynes, extends the closed integrated range of differ ential equation. |
| Keywords: | nonlinear differential equation new integrable type. |
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