We prove the existence of solutions for third-order nonconvex state-dependent sweeping process with unbounded perturbations of the form: ;, , , , , where , is a nonconvex Lipschitz set-valued mapping, is an unbounded scalarly upper semicontinuous convex set-valued mapping, and is an unbounded uniformly continuous nonconvex set-valued mapping in a separable Hilbert space .
M. Bounkhel. B. Al-Senan. "General Existence Results for Third-Order Nonconvex State-Dependent Sweeping Process with Unbounded Perturbations." J. Appl. Math. 2012 1 - 17, 2012. https://doi.org/10.1155/2012/695268