Topological properties of C 0 $C^{0}$ -solution set for impulsive evolution inclusions
نویسندگان
چکیده
منابع مشابه
Impulsive Perturbation of C0-semigroups and Stochastic Evolution Inclusions
In this paper, we consider a class of infinite dimensional stochastic impulsive evolution inclusions. We prove existence of solutions and study properties of the solution set. It is also indicated how these results can be used in the study of control systems driven by vector measures.
متن کاملTopological properties of the solution set of integrodifferential inclusions
In this paper we examine nonlinear integrodifferential inclusions in R . For the nonconvex problem, we show that the solution set is a retract of the Sobolev space W (T,R ) and the retraction can be chosen to depend continuously on a parameter λ. Using that result we show that the solution multifunction admits a continuous selector. For the convex problem we show that the solution set is a retr...
متن کاملOn the properties of the solution set of nonconvex evolution inclusions of the subdifferential type
In this paper we consider nonconvex evolution inclusions driven by time dependent convex subdifferentials. First we establish the existence of a continuous selection for the solution multifunction and then we use that selection to show that the solution set is path connected. Two examples are also presented.
متن کاملOptimal Control of Impulsive Stochastic Evolution Inclusions
In this paper, we consider a class of infinite dimensional stochastic impulsive evolution inclusions driven by vector measures. We use stochastic vector measures as controls adapted to an increasing family of complete sigma algebras and prove the existence of optimal controls.
متن کاملA Topological Fixed-Point Index Theory for Evolution Inclusions
In the paper we construct a topological fixed-point theory for a class of set-valued maps which appears in natural way in boundary value problems for differential inclusions. Our construction is based upon the notion of (U, V )-approximation in the sense of Ben-El-Mechaiekh and Deguire. As applications we consider initial-value problems for nonlinear evolution inclusions of the type x′(t) ∈ −A(...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2018
ISSN: 1687-2770
DOI: 10.1186/s13661-018-1099-3