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Exponential type functional equation and its Hyers-Ulam stability
Authors:Sin-Ei Takahasi  Takeshi Miura  Hiroyuki Takagi
Affiliation:a Department of Basic Technology, Applied Mathematics and Physics, Yamagata University, Yonezawa 992-8510, Japan
b Department of Mathematical Sciences, Faculty of Science, Shinshu University, Matsumoto 390-8621, Japan
Abstract:We give the solution of the functional equation f(x+y)+λf(x)f(y)=Φ(x,y) under some conditions. Also we show its Hyers-Ulam stability.
Keywords:Functional equation   Hyers-Ulam stability
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