摘要
研究一类强非线性发展方程的周期解及相应的最优控制问题的存在性.首先,证明了Banach空间中一类包含非线性单调算子和非线性非单调扰动的强非线性发展方程周期解的存在性;其次,给出了保证相应的Lagrange最优控制的充分条件;最后,举例说明理论结果在拟线性抛物方程周期问题及相应的最优控制问题中的应用.
In this paper, we prove an existence of periodic solutions of strongly nonlinear evolution equation containing a nonlinear monotone operator and a nonlinear nonmonotone perturbation in Banach spaces. Existence of Lagrange optimal control problem governed by periodic systems on Banach spaces is also presented. For illustration, an example of a quasi-linear parabolic differential equation and corresponding to optimal control problem is also discussed.
出处
《应用泛函分析学报》
CSCD
2002年第2期124-136,共13页
Acta Analysis Functionalis Applicata
基金
Supported by Guizhou Provincial President Grant(2001055)
