Abstract:The authors consider a second order impulsive differential equation with a parameter and periodic boundary conditions and prove results on the existence, uniqueness, compactness of the solution set, and dependence of the solutions on the parameter. Various fixed point techniques are used.
In this work, we establish several results about the existence and uniqueness of solutions for some neutral differential equations with state-dependent delays. We assume that the linear part generates a strongly continuous semigroup on a general Banach space.
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