On second order differential equations with state-dependent delay

Abstract

We study existence and uniqueness of solutions for a general class of second order abstract differential equations with state-dependent delay. Some examples related to partial differential equations with state dependent delay are presented.

Keywords:

• Abstract Cauchy problem
• cosine function
• state-dependent delay

AMS Subject Classifications:

• 47D09
• 34K30
• 34K
• 34G

Disclosure statement

No potential conflict of interest was reported by the authors.