Viable Solutions for Second Order Nonconvex Functional Differential Inclusions
نویسنده
چکیده
We prove the existence of viable solutions for an autonomous second-order functional differential inclusions in the case when the multifunction that define the inclusion is upper semicontinuous compact valued and contained in the subdifferential of a proper lower semicontinuous convex function.
منابع مشابه
On nonresonance impulsive functional nonconvex valued differential inclusions
In this paper a fixed point theorem for contraction multivalued maps due to Covitz and Nadler is used to investigate the existence of solutions for first and second order nonresonance impulsive functional differential inclusions in Banach spaces.
متن کاملLipschitz-continuity of the Solution Map of Some Nonconvex Second-order Differential Inclusions
We prove the Lipschitz dependence on the initial condition of the solution set of a nonconvex second-order differential inclusions by applying the contraction principle in the space of selections of the multifunction instead of the space of solutions.
متن کاملOn the Set of Solutions for the Darboux Problem for Fractional Order Partial Hyperbolic Functional Differential Inclusions
In this paper we prove the arcwise connectedness of the solution set for the initial value problems (IVP for short), for a class of nonconvex and nonclosed functional hyperbolic differential inclusions of fractional order.
متن کاملA Viability Result for Nonconvex Semilinear Functional Differential Inclusions
We establish some sufficient conditions in order that a given locally closed subset of a separable Banach space be a viable domain for a semilinear functional differential inclusion, using a tangency condition involving a semigroup generated by a linear operator.
متن کاملA Filippov Type Existence Theorem for a Class of Second-order Differential Inclusions
We prove a Filippov-Gronwall type inequality for solutions of a nonconvex secondorder differential inclusion of Sturm-Liouville type.
متن کامل