Abstract: The object of this correspondence is to prove a theorem which assures the continuity and differentiability properties of an optimal control of a system with respect to a small parameter ...

It is well known that Malliavin calculus can be applied to a stochastic differential equation with Lipschitz continuous coefficients in order to clarify the existence and the smootheness of the ...

The Lebesgue-Nikodym Theorem states that for a Lebesgue measure an additive set function which is -absolutely continuous is the integral of a Lebegsue integrable a measurable function ; that is, for ...

Bulletin mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie, Nouvelle Série, Vol. 25 (73), No. 2 (1981), pp. 129-141 (13 pages) Using De Blasi's definition ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Abstract: In this paper, using the concept of horizontal membership functions, a new definition of fuzzy derivative called granular derivative is proposed based on granular difference. Moreover, a new ...

In this article, you will get chapter notes of chapter Continuity and Differentiability including all important topics like continuous functions, sum, difference, product and quotient of continuous ...

This research was supported in part by the United States Air Force through the Air Force Office of Scientific Research of the Air Research and Development Command under Contract No. AF 18(600)-1595 ...

Find chapter notes of chapter Continuity and Differentiability including important topics like continuous functions, differentiable functions, chain rule, derivative of some functions, logarithmic ...