This article makes use of variable gradient method and structure Lyapunov Function to solve a kind of global asymptotic stability for solutions of non-linear system of the second order.
用变量梯度法构造李雅普·诺夫函数，解决一类二阶非线性系统解的全局渐近稳定性问题。
The global existence-uniqueness of solutions is obtained and the easy verifiable sufficient conditions for local asymptotic stability of a non-trivial steady-state solutions are given.
获得了解的整体存在惟一性，并给出了非平凡平衡解局部渐近稳定性易验证的充分条件。
The asymptotic stability of the rarefaction wave has been established for the impermeable wall problem under small perturbation conditions and non-isothermal conditions.
讨论了半空间中满足无渗透边界条件的一维黏性可压缩热传导流体的流动，给出了在小扰动和非等温条件下稀疏波的渐进稳定性。
The asymptotic stability of the rarefaction wave has been established for the impermeable wall problem under small perturbation conditions and non-isothermal conditions.
讨论了半空间中满足无渗透边界条件的一维黏性可压缩热传导流体的流动，给出了在小扰动和非等温条件下稀疏波的渐进稳定性。
应用推荐