中文摘要：

利用Toda方程中的指数势函数的性质，讨论了Toda方程解在无穷远处的渐近行为，证明了Toda方程的任何一个解在无穷远处是渐近线性的．

英文摘要：

Using the basic property of the interaction potential of exponential type, the asymptotic behavior of the solutions for the Toda equation is studied. It is proved that every solution of the Toda equation is asymptotically linear at infinity.