摘要
讨论了Banach空间中一类具有非局部条件的半线性积分微分方程,利用Banach空间中半线性微分方程理论和方法、Hausdorff非紧测度性质和不动点技巧,在空间无需可分的条件下,得到当半群失去紧性时上述方程在不同条件下适度解的存在性,改进和推广了该领域的一些已知结果.
This paper is concerned with the semilinear integrodifferential equations with nonlocal conditions in Banach spaces. Using the methods and results of semilinear differential equations in Banach spaces, the properties of Hausdorff＇s measure of noncompactness and the fixed point techniques as basic tools, the existences of mild solutions of the equations in different case are obtained without the assumption of compactness on associated semigroup and the separation of the spaces. It improves and generalizes some previous results in this area.
出处
《扬州大学学报（自然科学版）》
CAS
CSCD
2007年第4期21-25,共5页
Journal of Yangzhou University：Natural Science Edition
基金
国家自然科学基金资助项目(10571150)
