Results 81 to 90 of about 822 (183)

Application of Pettis integration to differential inclusions with three-point boundary conditions in Banach spaces

Electronic Journal of Differential Equations, 2007
This paper provide some applications of Pettis integration to differential inclusions in Banach spaces with three point boundary conditions of the form $$ ddot{u}(t) in F(t,u(t),dot u(t))+H(t,u(t),dot u(t)),quad hbox{a.e. } t in [0,1], $$ where $F$
Imen Boutana, Dalila Azzam-Laouir
doaj  

Random fixed points and random differential inclusions

International Journal of Mathematics and Mathematical Sciences, 1988
In this paper, first, we study random best approximations to random sets, using fixed point techniques, obtaining this way stochastic analogues of earlier deterministic results by Browder-Petryshyn, KyFan and Reich. Then we prove two fixed point theorems
Nikolaos S. Papageorgiou
doaj   +1 more source

Nonemptyness and compactness of the solution set for fractional evolution inclusions with non-instantaneous impulses

Electronic Journal of Differential Equations, 2019
In this article, we consider the nonemptyness and compactness of the solution set for a class of fractional semilinear evolution inclusions with non-instantaneous impulses in Banach spaces. To achieve this we use fixed point theorems with semigroup
Jinrong Wang, Ahmed G. Ibrahim, Donal O'Regan   +2 more
doaj  

R-closedness and Upper semicontinuity

, 2012
Let $\mathcal{F} $ be a pointwise almost periodic decomposition of a compact metrizable space $X$. Then $\mathcal{F} $ is $R$-closed if and only if $\hat{\mathcal{F}} $ is usc. Moreover, if there is a finite index normal subgroup $H$ of an $R$-closed flow $G$ on a compact manifold such that the orbit closures of $H$ consist of codimension $k$ compact ...
openaire   +2 more sources

The oscillation of separately locally Lipschitz functions

Karpatsʹkì Matematičnì Publìkacìï, 2011
We prove that a function which dened on the product of two metric Baire spaces is the oscillation of some separately locally Lipschitz function if and only if it is an upper semicontinuous non-negative function which has a crosswise nowhere dense closure
V. H. Herasymchuk, O. V. Maslyuchenko
doaj  

Two Positive Solutions for Elliptic Differential Inclusions

AppliedMath
The existence of two positive solutions for an elliptic differential inclusion is established, assuming that the nonlinear term is an upper semicontinuous set-valued mapping with compact convex values having subcritical growth.
Gabriele Bonanno, Valeria Morabito, Donal O’Regan, Bruno Vassallo   +3 more
doaj   +1 more source

Compactness in the endograph uniformity

Applied General Topology
Given a uniform space (X,U), we denote by F*(X) to the family of fuzzy sets u in (X,U) such that u is normal and upper semicontinuous. Let UE be the endograph uniformity on F*(X).
Iván Sánchez
doaj   +1 more source

On a lower continuity of upper continuous mappings with values in the Sorgenfrey line(in Ukrainian)

Математичні Студії, 2013
We shown that for each lower continuous finite valued mapping from metrizable topological space $X$ inSorgenfrey line the set of points of upper continuous is residual in $X$.
O. V. Maslyuchenko, V. K. Maslyuchenko, O. G. Fotiy   +2 more
doaj  

A note on monotone solutions for a nonconvex second-order functional differential inclusion

Le Matematiche, 2011
The existence of monotone solutions for a second-order functional differential inclusion with Carath\'{e}odory perturbation is obtained in the case when the multifunction that define the inclusion is upper semicontinuous compact valued and contained in ...
Aurelian Cernea
doaj  

Representing preorders with injective monotones. [PDF]

Theory Decis, 2022
Hack P, Braun DA, Gottwald S.
europepmc   +1 more source