中文摘要：

论文研究非自反Banach空间中Hille-Yosida算子的非线性Lipschitz扰动.首先,证明Hille-Yosida算子的非线性Lipschitz扰动诱导的微分方程的温和解构成非线性指数有界Lipschitz半群;其次,证明非线性扰动半群保持原半群的直接范数连续性质.获得的结果是线性算子半群某些结论的非线性推广.

英文摘要：

This paper is devoted to nonlinear Lipschitz perturbation of Hille-Yosda operators in non reflexive Banach spaces.Firstly,it proves that the mild solutions of the differential equations induced by nonlinear Lipschitz perturbation of Hille-Yosida operators compose nonlinear exponentially bounded Lipschitz semigroups;Secondly,it demonstrates that the nonlinear perturbed semigroups persist the immediate norm continuity of the original semigroups.The obtained results are the nonlinear extensions of some existing conclusions of the linear semigroups.