论文标题
在二维系统中，仿射的某些应用Lagrangians中的某些应用
Some Applications of Affine in Velocities Lagrangians in Two-dimensional Systems
论文作者
论文摘要
分析了一阶系统的二维逆问题，并开发了用于此类系统的仿射拉格朗日的方法。这种拉格朗日的确定是基于雅各比乘数的理论，用于微分方程系统。我们用几个在机械，一侧和一些相关生物系统的力量中相关的力量的示例来说明我们的分析。
The 2-dimensional inverse problem for first-order systems is analysed and a method to construct an affine Lagrangian for such systems is developed. The determination of such Lagrangians is based on the theory of the Jacobi multiplier for the system of differential equations. We illustrate our analysis with several examples of families of forces that are relevant in mechanics, on one side, and of some relevant biological systems, on the other.
