Comment on “stability of Lurie-type functional equations”

Orthogonal stability of mixed type additive and cubic functional equations

In this paper, we consider orthogonal stability of mixed type additive and cubic functional equation of the form $$f(2x+y)+f(2x-y)-f(4x)=2f (x+y)+2f(x-y)-8f(2x) +10f(x)-2f(-x),$$ with $xbot y$, where $bot$  is orthogonality in the sense of Ratz.

orthogonal stability of mixed type additive and cubic functional equations

in this paper, we consider orthogonal stability of mixed type additive and cubic functional equation of the form $$f(2x+y)+f(2x-y)-f(4x)=2f (x+y)+2f(x-y)-8f(2x) +10f(x)-2f(-x),$$ with $xbot y$, where $bot$  is orthogonality in the sense of ratz.

Robust Stability of Uncertain Lurie-type Neutral System with Delays

This paper introduces the robust stability of delay Lurie-type neutral control system. A new criterion is presented in term of linear matrix inequalities by using Lyapunov method. Since the criterion takes the size of the neutral and discrete delays into account, it is less conservative than the existing ones. Examples are given to that illustrate the advantage of our approach and reciprocal in...

On the Stability of Monomial Functional Equations

In the present paper a certain form of the Hyers–Ulam stability of monomial functional equations is studied. This kind of stability was investigated in the case of additive functions by Th. M. Rassias and Z. Gajda.

On the Stability of Trigonometric Functional Equations