论文标题
双线非线性进化方程的周期性问题
Periodic Problem for Doubly Nonlinear Evolution Equation
论文作者
论文摘要
我们关注的是，在均匀凸出的BANACH空间上，由两个凸功能的差异差异的一些双线非线性方程的时间周期性问题。 Akagi - stefanelli（2011）通过所谓的Wed功能方法考虑了相同方程的库奇问题。本文的主要目的是显示与Akagi-Stefanelli（2011）相同的功能和差异生长条件下的时间周期溶液的存在。由于凯奇问题与周期性问题之间的性质差异，我们无法直接应用WED功能方法，因此我们在这里采用具有适当近似程序的标准紧凑方法。
We are concerned with the time-periodic problem of some doubly nonlinear equations governed by differentials of two convex functionals over uniformly convex Banach spaces. Akagi--Stefanelli (2011) considered Cauchy problem of the same equation via the so-called WED functional approach. Main purpose of this paper is to show the existence of the time-periodic solution under the same growth conditions on functionals and differentials as those imposed in Akagi--Stefanelli (2011). Because of the difference of nature between Cauchy problem and the periodic problem, we can not apply the WED functional approach directly, so we here adopt standard compactness methods with suitable approximation procedures.
