| 1. | A liouville theorem for a class of elliptic systems
一类椭圆型方程组的刘维尔定理 |
| 2. | Analysis of asymptotic behavior of a regular sturm - liouville problem
问题本征的渐近分析 |
| 3. | Finite element method of the eigenvalues of sturm - liouville ' s problem
问题特征值的有限元方法 |
| 4. | A note on liouville theorem
关于刘维尔定理的一个注记 |
| 5. | Liouville ' s theorem
刘维定理 |
| 6. | An extension form of liouville ' s theorem about analytic functions for general harmonic functions is proved
摘要证明复变函数中的刘维尔定理在调和函数中的一种推广。 |
| 7. | In this paper , we analyze the nonlinear response of a three - level a model system , using a perturbation theory based on the liouville equation . of motion and considering the lorentz local field effect
本文中，我们考虑了lorentz局域场效应的影响，在liouville运动方程的基础上用微扰理论分析了一个三能级系统的非线性响应。 |
| 8. | Then the nonlinearization procedure is applied to the eigenvalue problem of mkdv - nls hierarchy . under bargmann constraint , it is shown that lax pairs are nonlinearized to be two finite - dimensional liouville completely integrable system
同时，应用非线性化技巧，证明了在bargmann约束下， mkdv - nls方程族的lax对可被非线性化为两个有限维liouville完全可积系。 |
| 9. | Starting from isospectral problems , tu ' s scheme is applied to generate a well - known generalized burgers equation hierarchy , a class of new mkdv - nls equation hierarchy and a family of discrete nonlinear evolution equations . they are shown to be liouville integrable hamiltonian systems
从等谱问题出发，利用屠格式导出了著名的广义burgers方程族和一类新的mkdv - nls方程族，及一族离散的非线性演化方程，且证明了它们均是liouville可积的广义hamilton方程族。 |
| 10. | 3 . as for the existence of positive solutions , the cone theory and the fixed point index of condensing mapping are employed , and the results of the existence of positive solutions are obtained in the case of superlinear and sublinear . the conclusions extend and improve the existence theorem which lou ben - dong extablished in 1996 about the question of sturm - liouville of banach spaces
三、对于正解存在性问题，我们应用凝聚映射的不动点指数理论，分别在超线性与次线性情形下进行讨论，获得了一些正解存在的结果，主要结果推广和改进了1996年louben - dong对banach空间sturm - liouville问题所建立的存在性定理。 |
