Banach空间阻尼弹性系统L-拟mild解的存在性

Existence of L-Quasi Mild Solutions for Damped Elastic Systems in Banach Spaces

该文讨论了Banach空间中具有阻尼弹性系统L-拟mild解的存在性.这些结果改进和推广了一些相关的结论在常微分方程和偏微分方程方面.在非线性项满足单调条件和非紧性测度条件下,获得了该问题极大mild解的存在性.另外,给出例子说明该结果的可行性.

In this article,we deals with the existence of L-quasi mild solutions for damped elastic systems in Banach spaces.The results improve and extend some relevant results in ordinary differential equations and partial differential equations.Under monotone condition and the noncompactness measure condition on nonlinearity,we obtain the existence of extremal mild solutions.In addition,an example is given to illustrate our results.