Article ID Journal Published Year Pages File Type
1708288 Applied Mathematics Letters 2011 5 Pages PDF
Abstract

We prove that Euler’s equation x1∂u∂x1+x2∂u∂x2+⋯+xn∂u∂xn=αu, characterising homogeneous functions, is stable in Hyers–Ulam sense if and only if α∈R∖{0}α∈R∖{0}.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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