Title of article
On approximate solutions of the linear functional equation of higher order
Author/Authors
Brzd?k، نويسنده , , Janusz and Popa، نويسنده , , Dorian and Xu، نويسنده , , Bing، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2011
Pages
10
From page
680
To page
689
Abstract
We show that, under some assumptions, every approximate solution of the linear functional equation of higher order, in single variable, generates a solution of the equation that is close to it. We also give a description of a procedure that yields such a solution, estimate the distance between those approximate and exact solutions to the equation, and discuss the problem of uniqueness. Moreover, as a consequence we obtain some results concerning the Hyers–Ulam stability of the equation.
Keywords
Hyers–Ulam stability , Approximate solution , Characteristic root , Linear functional equation , Banach space
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2011
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561424
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