一类半线性微分方程的渐近概自守温和解

Asymptotically Almost Automorphic Mild Solutions to a Class of Semilinear Differential Equations

在解决某些实际问题的时候,渐近概自守函数比渐近概周期函数更具有现实意义.为了研究渐近概自守函数在微分方程中的应用,依据不动点定理和N’Guerekata教授关于微分方程的研究,给出了一类半线性微分方程的渐近概自守温和解的存在性和唯一性.

At the time of solving some practical problems, asymptotically almost automorphic functions and more practical than asymptotically almost periodic functions. In order to study asymptotically almost automorphic functions applied to the differential equations, the existence and uniqueness of asymptotically almost automorphie mild solutions to a class of semilinear differential equations are discussed using fixed point theorem and Professor N＇ Guerekata study on differential equations.