Mixed monotone iterative technique for damped elastic systems in Banach spaces

摘要

In this article, we deal with the existence of mild L-quasi-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, two examples are given to illustrate our results.