Functional equations and inequalities in several variables

By S. Czerwik. 2002

824 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/10c1a8b40eea41cceb10e04b62702dfcf904e026

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In Applied Mathematics

Citations in the corpus

REMARKS ON ULAM STABILITY OF THE OPERATORIAL EQUATIONS (2009, methodology): “On the other hand by the analogy with the notion of the Ulam-Hyers stability in the theory of functional equation (see [14], [15], [7], [2], [9], [10]-[13], [21], [25], [26],.”
A Generalization of the Hyers-Ulam-Rassias Stability of the Pexiderized Quadratic Equations, II (2004, background): “Since then, the stability problem of the quadratic equation has been extensively investigated by a number of mathematician([2],[4],[18],[19]).”
Fuzzy Almost Quadratic Functions (2007, background): “The first author treating the stability of the quadratic equation was F. Skof [26] by proving that if f is a mapping from a normed space X into a Banach space Y satisfying ‖f(x + y) + f(x − y) − 2f(x) − 2f(y)‖ ≤ ǫ for some ǫ > 0, then there is a unique quadratic function g : X → Y such that ‖f(x)−…”
Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation (2007, neutral): “Czerwik [4] and D.”
A Linear Functional Equation of Third Order Associated with the Fibonacci Numbers (2014, neutral): “[8, 13, 14, 16, 17, 22, 24, 26]).”
STABILITY OF MAPPINGS ON MULTI-NORMED SPACES (2007, background): “During the last decades several stability problems of functional equations have been investigated by a number of mathematicians [3, 5, 10, 15, 20].”
ULAM STABILITY OF ORDINARY DIFFERENTIAL EQUATIONS (2009, background): “On the other hand, in the theory of functional equations, there are some special kind of data dependence (see [9], [10], [4], [7], [3], [18], [19]).”
Isomorphisms between C*-ternary algebras (2006, neutral): “Czerwik [5], D.”