湖南文理学院学报(自然科学版)
湖南文理學院學報(自然科學版)
호남문이학원학보(자연과학판)
JOURNAL OF HUNAN UNIVERSITY OF ARTS AND SCIENCE(NATURAL SCIENCE EDITION)
2003年
3期
7-10
,共4页
抛物型方程%点控%固定点
拋物型方程%點控%固定點
포물형방정%점공%고정점
Parabolic Equation%Ponit Controls%Fixed Point
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.
研究固定點控拋物型方程:аγ(t,x)/аt=△γ-p(x)y(t,x)+∑(N K=1)vk(t)δ(x-x(k))證明瞭噹特徵值,特徵函數及控製支撐點滿足某些條件時繫統的整體近似能控與有限維精確能控性.
연구고정점공포물형방정:аγ(t,x)/аt=△γ-p(x)y(t,x)+∑(N K=1)vk(t)δ(x-x(k))증명료당특정치,특정함수급공제지탱점만족모사조건시계통적정체근사능공여유한유정학능공성.
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.
