A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf
.
ON THE STABILITY OF THE GENERAL EULER-LAGRANGE FUNCTIONAL EQUATION
1996
Demonstratio Mathematica
In 1940 S.M. Ulam [3] imposed at the University of Wisconsin the problem: " Give conditions in order for a linear mapping near an approximately linear mapping to exist". In 1978 P.M. Gruber [1] imposed the general problem: "Suppose that a mathematical object satisfies a certain property approximately. Is it then possible to approximate this object by objects satisfying the property exactly?" In 1989 J.M. Rassias [2] solved the above Ulam problem, or equivalently the Gruber problem for linear
doi:10.1515/dema-1996-0411
fatcat:o2zhklm7gbhvlemgf7umikmxgi