| 1. | Linear partical differential equation
线性偏微分方程 |
| 2. | A symbolic computation method to decide the completeness of the solutions to the system of linear partial differential equations
判定线性偏微分方程组解的完备性的一个符号计算方法 |
| 3. | During the last twenty years , there have been many studies on such systems , using standard linear method
过去二十年，科学家利用标准的线性偏微分方程只可以预测线性或有规律的图案。 |
| 4. | We apply wu - ritt method to linear partial differential equations and gave the size of solution arid formal taylor solutions
我们把它应用到线性偏微分方程上去得到了解的规模和形式幂级数解。 |
| 5. | His primary research is nonlinear partial differential equations , in particular , equations arising from physical and biological sciences
他的主要研究是非线性偏微分方程，特别是由物理和生物科学衍生的方程式。 |
| 6. | Using this generalization , we will study the homogenization of some linear and semilinear partial differential equations with stratified periodic structdure coefficients
用广义双尺度收敛的理论我们研究了某些具分层周期结构系数的线性和半线性偏微分方程。 |
| 7. | His primary research is nonlinear partial differential equations , in particular , equations arising from physical and biological sciences
他的主要研究是非线性偏微分方程（ nonlinearpartialdifferentialequation ） ，特别应用于由物理和生物科学衍生的方程式。 |
| 8. | In the first part , by using the method of characteristic curves for solving linear partial differential equations , all invariant algebraic surfaces for three nonlinear systems are obtained
第一部分，利用求解线性偏微分方程的特征曲线法，得到了三个系统的所有不变代数曲面。 |
| 9. | The method of characteristics is a method , using a system of compatible partial differential equations in place of the original hyperbolic system of quasilinear partial differential equations to solve
对于双曲型的拟线性偏微分方程组，可以在特征线上，构造相应的一组相容方程来求解，这就是特征线方法。 |
| 10. | In section 1 , the introduction and statement of the main results are stated ; in section 2 , the main tool of this part using is narrated , that is , the method of characteristic curves for solving linear partial differential equations ; in section 3 , rigorous proof is given
本部分由三节组成，第一节是引言和获得的主要结果；第二节介绍了本部分所使用的主要工具，即，解线性偏微分方程的特征曲线法；第三节证明了这些主要结果。 |
