二阶非线性系统三点边值问题的可控性

Controllability of Second Order Nonlinear Systems with Three Point Boundary Values

研究一类二阶非线性系统三点边值问题的可控性 .利用 Green函数将此可控性问题转化为证明一个算子具有不动点问题 ,进而利用 Schauder不动点定理得到一个精细的可控性结果 .

The present paper deals with the controllability of the second order nonlinear systems with three point boundary values. We converted the controllable problem into deducing the problem of an operator possessing fixed points so as to use Schauder fixed-points theorem to study these interesting control lable problems.