Topological properties of the solution set of integrodifferential inclusions
نویسندگان
چکیده
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 retract of C(T,R ). Finally we prove some continuous dependence results.
منابع مشابه
Interval fractional integrodifferential equations without singular kernel by fixed point in partially ordered sets
This work is devoted to the study of global solution for initial value problem of interval fractional integrodifferential equations involving Caputo-Fabrizio fractional derivative without singular kernel admitting only the existence of a lower solution or an upper solution. Our method is based on fixed point in partially ordered sets. In this study, we guaranty the existence of special kind of ...
متن کاملTopological structure on generalized approximation space related to n-arry relation
Classical structure of rough set theory was first formulated by Z. Pawlak in [6]. The foundation of its object classification is an equivalence binary relation and equivalence classes. The upper and lower approximation operations are two core notions in rough set theory. They can also be seenas a closure operator and an interior operator of the topology induced by an equivalence relation on a u...
متن کاملTHE EFFECT OF TI CONTENTS ON THE AMOUNTS OF INCLUSIONS FORMATION AND MECHANICAL PROPERTIES OF C300 HIGH STRENGTH STEEL
In this research the influence of Ti contents on the amounts of inclusions formation and mechanical properties of a high alloy high strength steel, C300, has been investigated. For this purpose several bars were casted under the same solidification conditions, but different amounts of Ti element. All the seven casted bars were homogenized at 1200°C for a period of 2 hours. Then, they were immed...
متن کاملP2-CONNECTEDNESS IN L-TOPOLOGICAL SPACES
In this paper, a certain new connectedness of L-fuzzy subsets inL-topological spaces is introduced and studied by means of preclosed sets. Itpreserves some fundamental properties of connected set in general topology.Especially the famous K. Fan’s Theorem holds.
متن کاملdominating subset and representation graph on topological spaces
Let a topological space. An intersection graph on a topological space , which denoted by , is an undirected graph which whose vertices are open subsets of and two vertices are adjacent if the intersection of them are nonempty. In this paper, the relation between topological properties of and graph properties of are investigated. Also some classifications and representations for the graph ...
متن کامل