local uniqueness of the solutions

基本解释

By means of the iterative method, we study the theorem of the existence and uniqueness of local solutions of first order implicit differential equation with intial value problem.
本文用迭代法证明了一阶隐式微分方程初值问题局部解的存在唯一性定理。
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。
By means of lower-upper solutions methods, theory of fixed point indices and local bifurcation theory, the conditions for multiplicity and uniqueness positive solutions of this system was obtained.
运用上下解方法，不动点指数理论，局部分歧理论，得出了该系统存在多个正解或惟一正解的条件，即参数对解的个数有一定影响。