Parabolic equation with fixed point - controls:аγ(t,x)/аt=△γ-p(x)y(t,x)+∑(N K=1)vk(t)δ(x-x(k))is studied. Thissystem is globally approximately eontrollable and finite - dimensional exactly controllable when the eigenvalues, eigenfunctions and the points which support the controls satisfy some assumptions.%研究固定点控抛物型方程:аγ(t,x)/аt=△γ-p(x)y(t,x)+∑(N K=1)vk(t)δ(x-x(k))证明了当特征值,特征函数及控制支撑点满足某些条件时系统的整体近似能控与有限维精确能控性.
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