Abstract
We prove several existence theorems for the second-order differential inclusion of the form\(\dot x(t) \in G(x(t)), \ddot x(t) \in - N_{G(x(t))} \dot x(t) + F(t,T(t)x)\) in the case whenF or bothG andF are maps with nonconvex values in an Euclidean or Hilbert space andF(t, T(t)x) is a memory term ([T(t)x](θ)=x(t+θ)).
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Duc Ha, T.X., Monteiro Marques, M.D.P. Nonconvex second-order differential inclusions with memory. Set-Valued Anal 3, 71–86 (1995). https://doi.org/10.1007/BF01033642
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DOI: https://doi.org/10.1007/BF01033642