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讨论了Banach空间中抛物发展方程d(x(t)+g(t,(x)))/dt+A(t)x(t)=f(t,x(t))的存在结果,这里A(t)生成一个发展系统,函数f,g是连续的.笔者分别给出适度解定理,适度解存在惟一性定理和半古典解存在惟一性定理,推广了前人g(t)≡0或A(t)≡A的结果.
Banach空间中一类半线性发展方程的存在结果
【摘 要】
：
讨论了Banach空间中抛物发展方程d(x(t)+g(t,(x)))/dt+A(t)x(t)=f(t,x(t))的存在结果,这里A(t)生成一个发展系统,函数f,g是连续的.笔者分别给出适度解定理,适度解存在惟一性
【机 构】
：
东南大学数学系,南京,210096
【出 处】
：
东南大学学报
【发表日期】
：
2003年2期
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