Banach空间中半线性混合型发展方程的解

Solutions of Semilinear Evolution Equations of Mixed Type in Banach Spaces

在不要求C0-半群为紧半群的前提下,利用函数e-λt(其中λ>0是常数)和M onch不动点定理,在更广泛的条件下,得到了Banach空间中一类半线性混合型发展方程初值问题的整体mild解和正mild解,本质上改进和推广了已有相关结果.

By using the function e^-λt（where ,λ〉 0 is a constant） and Monch fixed point theorem, the existence of global mild solutions and positive mild solutions of initial value problem for a class of semilinear evolution equation of mixed type with noncompact semigroup in Banach spaces is obtained under more extensive conditions. Our results improve and generalize many related results in essence.