The existence and stability of co-exist periodic solutions are investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion. 运用分歧理论、隐函数定理以及渐近展开的方法,获得了共存周期解的存在性与稳定性的结果。
A complete analysis must build on the implicit function theorem. 完整的分析必须建立在隐函数定理的基础上。
An Extension& Application of Implicit Function Theorem 隐函数定理的一个推广及其应用
A global implicit function theorem 全局性隐函数定理及其应用
In this paper, a necessary optimality condition of problems with equality constraints is investigated by the implicit function theorem in n-dimensional Euclidean space. A new approach solving these problems is obtained. 本文用n维欧氏空间R~n中的隐函数定理研究等式约束问题的最优性必要条件,从而得出解这类问题的一种新途径。
One implicit function theorem 一个隐函数定理
Second part, using approximation method and implicit function theorem, we obtain the existence of large amplitude 2-periodic bouncing for damped linear impact osillator with mutiple impacts in one period. 在第二部分里,我们运用逼近框架与隐函数定理,对于带小阻尼的线性碰撞振子,证明了在一周期内发生多次碰撞的大振幅2π-周期解的存在性。
A kind of one parameter planar singular perturbation equation is studied by the qualitative theory of ordinary differential equations, asymptotic analysis methods, implicit function theorem and fixed point methods. 本文应用微分方程定性理论、渐进分析方法、隐函数定理以及不动点理论的方法研究一类单参数二维奇异摄动系统。
In this paper we study bifurcation of steady-state solutions of the trimolecular model in a two-dimensional unbounded region. By using the implicit function theorem and the Liapunov-Schmidt procedure we prove the existence of the steady-state bifurcation solutions which are periodic in x. 本文应用隐函数定理及Liapunov-Schmidt过程,讨论了二维无界区域中三分子模型的分歧问题,证明了在临界参数值附近定态分歧解的存在性,而这些分歧解关于x是周期的。
In this paper, by the implicit function theorem in Banach spaces we first establish a necessary optimality condition for problems with equality constraint in product banach spaces. 本文首先利用Banach空间中的隐函数定理导出乘积Banach空间中等式约束问题的最优性必要条件。
ONE IMPLICIT FUNCTION THEOREM The Solution to the First Kind Function Equation 一个隐函数定理一类函数方程的解
By using the implicit function theorem, the condition of flexible workspace boundary of a plane closed loop five bar mechanism was derived. The output bar and conjoint side link are collinear, and the other coupler and conjoint side link are collinear. 应用隐函数定理,推导出平面闭链五杆机构柔性工作空间边界的条件,即输出杆与相连的连架杆共线及另一连架杆与相连的连杆共线。
A generalization of implicit function theorem 关于隐函数存在定理的一个推广
Then, the system is linearized by variational approach, the local null controllability is proved by applying a generalized implicit function theorem and combining the good property of the solution mapping. 然后采用变分方法对系统线性化,再结合解映射好的性质,应用推广的隐函数定理,证明系统的局部零能控性;
Solving a Class of Nonlinear Singular Integral Equations with Displacement by Implicit Function Theorem 用隐函数定理解一类带位移的非线性奇异积分方程
Nashed as well as a "hard" implicit function theorem which improves the related theorem of M.S. Nashed的一个结果,并且证明了一个硬的隐函数定理,它改进了M.S。
By means of the implicit function theorem, this paper proves that there exists a unique real solution of those equations. 应用隐函数存在定理,本文证明这组方程存在有唯一的实解。
The implicit function function theorem considers the structure of F-1 ( 0). 隐函数定理考查F-1(0)之构造。
First, using implicit function theorem, the workspace of five-bar mechanism is determined, and the positional relationship between workspace and realizable trajectory by hybrid machine is analyzed. 首先,确定给定机构的工作空间,指出了给定机构可实现轨迹与机构工作空间的位置关系。