Geodesic
Differential inclusions with unbounded right-hand side and necessary optimality conditions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control, Tome 291 (2015), pp. 249-265

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We study the properties of the trajectories of a differential inclusion with unbounded measurable–pseudo-Lipschitz right-hand side that takes values in a separable Banach space and consider the problem of minimizing a functional over the set of trajectories of such a differential inclusion on an interval. We obtain necessary optimality conditions in the form of Euler–Lagrange differential inclusions for a problem with free right end. 
@article{TM_2015_291_a18,
     author = {E. S. Polovinkin},
     title = {Differential inclusions with unbounded right-hand side and necessary optimality conditions},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {249--265},
     publisher = {mathdoc},
     volume = {291},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2015_291_a18/}
}
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E. S. Polovinkin. Differential inclusions with unbounded right-hand side and necessary optimality conditions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control, Tome 291 (2015), pp. 249-265. http://geodesic.mathdoc.fr/item/TM_2015_291_a18/