Local existence for nonlinear Volterra integrodifferential equations with infinite delay

✍ Scribed by Cheng-Lien Lang; Jung-Chan Chang

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 295 KB
• Volume: 68
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2007.02.038

✦ Synopsis

In this paper, we investigate the local existence and uniqueness of solutions to integrodifferential equations with infinite delay, which are more general than those in previous studies. We assume that the linear part of the equation is nondensely defined and satisfies a Hille-Yosida condition. Moreover, the continuity of solutions with respect to initial conditions is also studied. In order to illustrate our abstract results, we conclude this work with an example.