Sentence examples for problems of functional from inspiring English sources

Such an approach, where in some problems of functional analysis the norm is replaced by a general function, was used in [1] in the study of generalized best approximation problems, which we now recall.

During the last decades several stability problems of functional equations have been investigated be many mathematicians.

Recently, many authors are devoted to extend its applications to boundary value problems of functional differential equations [2 5].

During the last decades several stability problems of functional equations have been investigated by a number of mathematicians.

During the last decades, several stability problems of functional equations have been investigated by many mathematicians (see [5 20]).

During the last decades several stability problems of functional equations have been investigated in the spirit of Hyers-Ulam-Rassias.

This paper is the first paper that deals with variational problems of functionals defined in terms of Jackson q-integral on a finite domain and where the left-sided Caputo q-derivative appears in the integrand.

This dual model largely circumvents the problem of functional equivalence, but divests functions of much explanatory power.

The stability problem of functional equations can be determined on various domains of functions.

GOMA solves the problem of functional redundancy and prevents inconsistent enrichment results among functionally similar terms.

This is the first result for the stability problem of functional equations in 2-Banach spaces.