The Overdeterminedness of a Class of Functional Equations

Details The Overdeterminedness of a Class of Functional Equations The Overdeterminedness of a Class of Functional Equations

2005-12-11

arxiv.org/abs/math/0512226v1

Aequationes Mathematicae, Vol. 74, No. 3, 2007, 242-248

Mathematics

Classical Analysis and ODEs

6 pages

Scientific paper

We prove a uniqueness theorem for a large class of functional equations in the plane, which resembles in form a classical result of Aczel. It is also shown that functional equations in this class are overdetermined in the sense of Paneah. This means that the solutions, if they exist, are determined by the corresponding relation being fulfilled not in the original domain of validity, but only at the points of a subset of the boundary of the domain of validity.

Affiliated with

Also associated with

No associations

Rating

The Overdeterminedness of a Class of Functional Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Overdeterminedness of a Class of Functional Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Overdeterminedness of a Class of Functional Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-502705