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Structure of the solution set to impulsive functional differential inclusions on the half-line

Structure of the solution set to impulsive functional differential inclusions on the half-line

A topological structure of the set of solutions to impulsive functional differential inclusions on the half-line is investigated. It is shown that the solution set is nonempty, compact and, moreover, an R δ -set. It is proved on compact intervals and then, using the inverse limit method, obtained on the …