On a Class of Second-Order Differential Inclusions on the Positive Half-Line

  • Gheorghe Moroșanu

    Central European University, Budapest, Hungary

Abstract

Consider in a real Hilbert space the differential equation (inclusion) (E): a.e. in , with the condition (B): , where is a (possibly set-valued) maximal monotone operator whose range contains ; , such that , is differentiable a.e., and . We prove existence of a unique (weak or strong) solution to (E), (B), satisfying and , where , showing in particular the behavior of as .

Cite this article

Gheorghe Moroșanu, On a Class of Second-Order Differential Inclusions on the Positive Half-Line. Z. Anal. Anwend. 34 (2015), no. 1, pp. 17–26

DOI 10.4171/ZAA/1526