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中文摘要：
利用凸幂凝聚算子的不动点定理，研究了Banach空间中一类具有非紧半群的半线性发展方程初值问题的整体mild解和正mild解的存在性．
英文摘要：
In this paper, using the fixed point theorem of convex-power condensing operator, we study the existence of global mild solutions and positive mild solutions of inital value problem for a class of semilinear evolution equations with noncompact semigroup in Banach spaces.
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