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ON THE STABILITY OF A FUNCTIONAL EQUATION OF PEXIDER TYPE
Taiwanese Journal of Mathematics, 2007 We study the Hyers-Ulam stability of a functional equation of Pexider type associated with a functional equation $f(xy)=xf(y)+f(x)y$ which defines derivations in algebras.
Jung, Yong-Soo, Park, Kyoo-Hong
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Quasi‐homogeneous associative functions
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 351-357, 1998., 1997 A triangular norm is a special kind of associative function on the closed unit interval [0, 1]. Triangular norms (or t‐norms) were introduced in the context of probabilistic metric space theory, and they have found applications also in other areas, such as fuzzy set theory.
Bruce R. Ebanks
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On Hyers-Ulam stability of the Pexider equation [PDF]
, 2004 Let (S, +) be a commutative semigroup and let X be a sequentially complete linear topological Hausdorff space. In the theory of functional equations the problem of the stability (in a sense) has been considered by many authors.
Zygfryd Kominek, Kominek, Zygfryd
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NOTE ON JENSEN AND PEXIDER FUNCTIONAL EQUATIONS
Demonstratio Mathematica, 1999 The Jensen functional equation \[ 2f\left({x+y \over 2}\right) =f(x)+f(y) \tag{1} \] is solved in the case where \(f:M\to S\), \(M\) is an Abelian semigroup with the division by \(2,S\) is an abstract convex cone satisfying the cancellation law. The result when applied to a set-valued version of (1) (where \(f\) takes values from the set \(ccl(X)\) of ...
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Ulam’s Type Stability and Fixed Points Methods
, 2014 Journal of Function Spaces, Volume 2014, Issue 1, 2014.
Janusz Brzdęk +5 more
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, 2012 Abstract and Applied Analysis, Volume 2012, Issue 1, 2012.
Janusz Brzdęk +3 more
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Asymptotic behaviour of the solution of a functional-differential equation [PDF]
, 1984 The asymptotic behaviour as t→∞ of the solution of the functional- differential equation y'(t) = -y(t/k), with y(0) = 1 and k > 1 , is derived from an integral representation by the method of steepest descents.
Tripp, CE
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On a functional equation of Pexider type
Aequationes Mathematicae, 1988 The author proves that the only solutions of the functional equation (all functions are from \({\mathbb{C}}\) to \({\mathbb{C}})\) \[ | f(z+w)|^ 2+| g(z-w)|^ 2=| h(z+\bar w)|^ 2+| k(z-\bar w)|^ 2, \] where - indicates complex conjugate, in which f, g, h, k are entire, are f, g, h, k all linear or f, g, h, k all linear combinations of \(e^{\lambda z ...
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ENTIRE SOLUTIONS OF A FUNCTIONAL EQUATION OF PEXIDER TYPE
Demonstratio Mathematica, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The stability of some pexider trigonometric functional equations
International Journal of Mathematical Analysis, 2014 The aim of this paper is to investigate the stability problem of the pexider type trigonometric functional equations ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) Mathematics Subject Classification: 39B82, 39B52 ...
R. Sakthi, R. Raghavendran
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