in this paper, some basic results concerning strict, nonstrict inequalities, local existence theorem and differential inequalities  have been proved for an ivp of first order hybrid  random differential equations with the linear perturbation of second type. a comparison theorem is proved and  applied to prove the uniqueness of random solution for the considered perturbed random differential equ...

Data analysis often involves the comparison of complex objects. With the ever increasing amounts and complexity of data, the demand for systems to help with these comparisons is also growing. Increasingly, information visualization tools support such comparisons explicitly, beyond simply allowing a viewer to examine each object individually. In this paper, we argue that the design of informatio...

Grid workflows are normally composed of multilingual applications. Monitoring such multilingual workflows in the Grid requires an instrumentation infrastructure that is capable of dealing with workflow components implemented in different programming languages. Moreover, Grid workflows introduce multiple levels of abstraction and all levels must be taken into account in order to understand the p...

The proverbial “law of one price” is virtually never empirically valid. Homogeneous goods are often sold at widely different prices by rival firms, even in environments that seem particularly conducive to economic competition. And prices for the same goods often vary over time. The grocery market seems to be one of the prime examples of price dispersion in which there exists price uncertainty. ...

We give some conditions that ensure the validity of a Comparison principle for the minimizers of integral functionals, without assuming the validity of the Euler–Lagrange equation. We deduce a weak maximum principle for (possibly) degenerate elliptic equations and, together with a generalization of the bounded slope condition, the Lipschitz continuity of minimizers. To prove the main theorem we...