Banach空间中的半线性发展方程

Semilinear Evolution Equations in Banach Space

讨论了Banach空间X中带有非局部条件的半线性发展方程.在g失去紧性的条件下,利用L^p(I;X)空间中的不动点定理,对边值问题适度解的存在性做了研究,完善和推广了已有结论.最后给出一个在偏微分方程中的例子.

We discuss semilinear evolution equations with nonlocal conditions in Banach space X. Under the condition that g lose the compactness, we get the existence results using the fixed-point theorem in L^p （I ;X）, which improve and generalize the known results. In addition, we construct an example in partial differential equations.