The Cauchy problem for nonlinear abstract functional differential equations with infinite delay

✍ Scribed by Jin Liang; Ti-Jun Xiao

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 466 KB
• Volume: 40
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(00)00188-7

✦ Synopsis

In this paper, we use existence families and admissible phase spaces to study the Cauchy problem for a class of nonlinear abstract functional differential equations with infinite delay in a unified way. Our main results concern the existence and uniqueness of mild solutions, strong solutions, and classical solutions.