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Remarks on: "Oscillation criteria for second-order functional difference equation with neutral terms" [Demonstratio Math. 41 (2008)]

100%

Karpuz B.

Demonstratio Mathematica

2009

tom Vol. 42, nr 3

549-551

In this paper, we show that the paper mentioned in the title includes some wrong results. We also provide a counter example.

On the stability of a mean value type functional equation

80%

Jung S. , Sahoo P.

Demonstratio Mathematica

2000

tom Vol. 33, nr 4

793-796

In this paper, we prove the stability results of a mean value type functional equation, namely f (x) - g{y) = (x - y)h(x 4- y) which arises from the mean value theorem.

A localization principle for classes of means

80%

Berrone L.

Demonstratio Mathematica

2000

tom Vol. 33, nr 3

557-566

Several families of continuous means defined on a square I x I have the remarkable property of being entirely determined when their values in an arbitrary small neigborhood of the diagonal {(x,x) : x G 1} of the square are known. Some examples are given of application of this property in solving functional equations.

Extension theorems for the Matkowski-Suto problem

80%

Daroczy Z. , Maksa G. , Pales Z.

Demonstratio Mathematica

2000

tom Vol. 33, nr 3

547-556

On solutions of some system of functional equations

80%

Midura S.

Demonstratio Mathematica

1998

tom Vol. 31, nr 2

299-304

On Some Special Morphisms Between Groups and Algebras

60%

Fidytek I.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2006

tom Vol. 11

17-40

Study of some functional equations related to some algebras of matrices

60%

Akkouchi M. , Rhali M.

Demonstratio Mathematica

2005

tom Vol. 38, nr 3

611--622

Let K be the real or complex field. Let 1 < n < p be two positive integers. We denote Mp(K) the usual algebra of p x p-matrices. Let An be an n- dimensional subalgebra of Mp(K). Then there exists an injective linear mapping A : Kn- Mp(K) such that A^") = An' Therefore K" may be equipped with a product denoted * such that (Kn, +,*) is an associative algebra. The aim of this paper is to investigate the general solutions of the functional equation: f(x*y) = f(x) f(y), and its Pexider form f(x*y) = g(x) h(y), for all x, y in Kn, where f,g, h: Kn - K are unknown functions. This work is inspired by the paper [2].