Nonlocal differential equations with multivalued perturbations in Banach spaces

✍ Scribed by Lanping Zhu; Gang Li

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 241 KB
• Volume: 69
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2007.08.057

✦ Synopsis

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.