Nonlocal differential equations with multivalued perturbations in Banach spaces

作者：Zhu Lanping; Li Gang

来源：Nonlinear Analysis-Theory Methods & Applications, 2008, 69(9): 2843-2850.

DOI：10.1016/j.na.2007.08.057

• Nonlocal differential inclusion
• Multivalued fixed point theorem
• Upper-Caratheodory multifunction
• Mild solutions
• Compact semigroup

We discuss the existence of mild solutions for nonlocal differential inclusions with multivalued perturbations in Banach spaces and establish new existence theorems for related Cauchy problems, which extend some existing results in this area. Using the established results, we investigate a special nonlocal problem. Finally, we also consider a partial functional differential equation.

• 出版日期2008-11-1
• 单位扬州大学