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31.
We approximate the operator equation Au+g(u)= h by the averaged system Av + PSPJ.v=h ,3 2llvll P Min the Hilbert space &= L (ft) where ft c Rn has finite mass M .We solvethe system explicitly and discuss the dependence of its solutions as g and h are varied.We extend our analysistoan operator equation which contains a damping term 相似文献
32.
We prove here a Filippov type implicit function theorem for Carath$eacute;odory mappings in general topological space. We also prove a Banach space version which is applicable to optimal control problems. For this purpose, we introduce the basic concepts of separation in topological spaces. Connections between separation properties of spaces and measurability of graphs of multifunctions are established. AMS (MOS): 57C65 相似文献