where l is an arbitrary positive integer, where x tin) denotes the vector x tin) = (x~ ml . . . . . x ~ ) of the derivatives of x of order m taken in an arbitrary but fixed order, and where f2 is a bounded open domain in the n-dimensional Euclidean space E" of points t = ( t x . . . . , t,). In certain basic aspects (e.g. in the use of convexity considerations and of the reflexitivity of the So...

In this paper, we introduce and investigate new concepts of L-weakly M-weakly demicompact operators. Let E be a Banach lattice. An operator T : ? is called demicompact, if for every norm bounded sequence (xn) in BE such that {xn Txn, n N} an compact subset E, have {xn, E. Additionally, disjoint ?xn ?Txn? 0, ?xn? 0. (resp. M-weakly) operators generalize known classes which are We also elaborate ...

A one dimensional experiment in granular dynamics is carried out to test the thermodynamic theory of weakly excited granular systems [Hayakawa and Hong, Phys. Rev. Lett. 78, 2764(1997)] where granular particles are treated as spinless Fermions. The density profile is measured and then fit to the Fermi distribution function, from which the global temperature of the system, T , is determined. The...

In this paper, the relationships between semicontinuity and preinvexity of fuzzy mappings are investigated. The concepts of intermediate-point preinvex fuzzy mappings and weakly preinvex fuzzy mappings are first introduced, and the authors establish a characterization for a weakly preinvex fuzzy mapping in terms of its epigraph. In this context, a characterization of a preinvex fuzzy mapping in...

Weakly-Sticky(WS) Datalog+/- is an expressive member of the family program classes that defined on basis conditions stickiness and weak-acyclicity. Conjunctive query answering (QA) over WS programs has been investigated, its tractability in data complexity established. However, design implementation practical QA algorithms their optimizations have open. In order to fill this gap, we first study...