The Journal of the Indian Mathematical Society

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On the Stability of the Multi-Dimensional Euler-Lagrange Functional Equation


Affiliations
1 National and Capodistrian University of Athens, Pedagogical Department, E.E. Section of Mathematics and Informatics 4., Agamemnonos Str., Aghia Paraskevi, Attikis-15342, Greece
     

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In 1978 P.M. Gruber (Trans. Amer. Math. Soc., 245 (1978), 263-277) imposed the following problem:
“Suppose a mathematical object satisfies a certain property approximately. Is it then possible to approximate this object by objects, satisfying the properly exactly?”.
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  • On the Stability of the Multi-Dimensional Euler-Lagrange Functional Equation

Abstract Views: 268  |  PDF Views: 0

Authors

John Michael Rassias
National and Capodistrian University of Athens, Pedagogical Department, E.E. Section of Mathematics and Informatics 4., Agamemnonos Str., Aghia Paraskevi, Attikis-15342, Greece

Abstract


In 1978 P.M. Gruber (Trans. Amer. Math. Soc., 245 (1978), 263-277) imposed the following problem:
“Suppose a mathematical object satisfies a certain property approximately. Is it then possible to approximate this object by objects, satisfying the properly exactly?”.