Sentence examples similar to a generalized class of functions from inspiring English sources

In this paper we introduce a generalized class of filtered Lyapunov functions, which are Lyapunov functions with time-varying parameters satisfying certain differential equations.

Employing the generalized Riccati transformation and a class of functions, several oscillation criteria are presented that improve the results obtained in the literature.

Using our generalized 3G theorem, we give a concrete class of functions belonging to the non-local Kato class, introduced by Chen and Song, on κ-fat open sets.

By using the gauge function, the generalized mass function is defined so that it can be used for a wider class of functions on fractal sets.

Now we introduce a class of functions.

In [8], by employing a class of function and a generalized Riccati transformation technique, Rogovchenko and Tuncay studied the oscillation of (1.10).

For many classes of partial differential equations, such as linear elliptic equations, it is possible to consider a generalized solution (known as a weak solution) by enlarging the class of functions.

In this paper, we have introduced and investigated a new class of generalized functions, called generalized geometrically convex functions.

In this paper, we introduce and study a new class of generalized functions, called generalized geometrically convex functions.

The generalized Sobolev space is the class of functions on such that for every multi-index with, endowed with the norm.

Now, one introduces a class of function.