Control problem governed by an iterative differential inclusion

On a Non-Convex Lagrange Optimal Control Problem

“…It is recognized that iterative differential inclusions are a generalization of iterative differential equations which proved to be valuable in many fields such as electrodynamics (as in problems related to motions of charged particles with retarded interactions), biology (as in infection models problems), etc. Numerous results were found in the theory of iterative differential equations, for example: smoothness, equivariance, analycity, convexity and numerical solutions (see [11,18,23,27,29,30,32] and references therein). Several approaches have been used to prove existence results of initial value problems; we mention Schauder's fixed point [1,17,19,28,31], contraction principle [6,13,16], Picard's successive method [25,26] and non-expansive operators [3,22].…”

“…Numerous results were found in the theory of iterative differential equations, for example: smoothness, equivariance, analycity, convexity and numerical solutions (see [11,18,23,27,29,30,32] and references therein). Several approaches have been used to prove existence results of initial value problems; we mention Schauder's fixed point [1,17,19,28,31], contraction principle [6,13,16], Picard's successive method [25,26] and non-expansive operators [3,22].…”

Certain convergence results for homogeneous singular Young measures

“…The considered problems are often of a physical or engineering origin. With this respect, the reader may have a look at [3][4][5][6][7][8][9][10][11][12] (and the references therein), from the broad spectrum of articles on this subject.…”