Second theorem shows that the existence of solution is possible under suitable conditions when the limit of growth of nonlinear term at infinity is an unbounded function. 第二个定理表明当非线性项在无穷远处增长的极限是一个无界函数时在适当条件下这问题仍可能有一个解。
After the coupled equations of the partial differential equation for the response of the marine riser and the wake oscillator equation are unbounded and discretized by Hermit interpolation function, the Finite Element expression can be obtained and solved by Newmark time-procedure method. 通过对立管振动微分方程和Matteoluca尾流振子方程的解耦,并采用Hermit插值函数进行离散,得到其有限元表达式,采用Newmark时程分析法进行求解。
The dynamic interaction of an embedded semi-cylindrical foundation with soil when the foundation is partially unbounded from soil is considered by using the wave function expansion method and singular integral equation technique. 利用波函数展开法结合奇异积分方程技术,研究了部分脱离的埋置半圆形基础与土体的出平面动力相互作用问题。
The influence function for Lp estimation of the scale parameter has been obtained, and the estimator has no robustness because the influence function is an unbounded function, the robust Lp estimation of the scale parameter has been proposed using the Winsor's residuals by authors. 由于尺度参数Lp估计的影响函数为无界函数,估计不具抗差性,但把残差Winsor化,作者得到了尺度参数的抗差Lp估计;
The extended Hermite interpolation operator, based on the nodes which are the zeros of first Chebyshev polynomial, is considered. This operator approxi-mates the unbounded function in the real axis, its convergence order is O(Ω ̄(-1)( lnn) lnn/ n); 考虑以第一类Chebyshev多项式的零点为插值结点的扩展的Hermite算子,在实轴上逼近无界函数,得到收敛阶为O(Ω ̄(-1)(lnn)lnn/n);
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 chapter 1, we review the history of optimal control theory and point out that there are still three basic problems in optimal control research, i.e., infinite time interval, unbounded controls, and function in system not being F-differentiable. 在第一章中,我们回顾了最优控制理论的发展历史,提出了当前研究中仍存在的三个基本问题&即无限时间区域问题、无界控制问题、以及系统函数不为F-可导问题。
In this paper, it is shown that in linear programming there exist optimal solutions in unbounded feasible region if the objective function is upper bounded. 本文证明了线性规划在可行域无界时存在最优解的充要条件是目标函数上有界。
Extensional Hermite operator and approximation of unbounded function 扩展的Hermite算子与无界函数逼近
In the unbounded domains, Hankel function is chosen as the basic solution of the scaled boundary finite-element equation. 在无限域内,选取汉克尔函数作为比例边界有限元方程的基本解。