Exponential type functional equation and its Hyers-Ulam stability

Exponential type functional equation and its Hyers-Ulam stability
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DOI:
10.1016/j.jmaa.2006.07.030
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发表时间:
2007-05
影响因子:
1.3
通讯作者:
Sin-Ei Takahasi;T. Miura;Hiroyuki Takagi
Sin-Ei Takahasi;T. Miura;Hiroyuki Takagi
中科院分区:
数学3区
文献类型:
--
作者:
Sin-Ei Takahasi;T. Miura;Hiroyuki Takagi

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我们给出了函数方程f(x+y)+λf(x)f(y)=Φ(x,y)在一定条件下的解。我们还展示了其海尔斯-乌拉姆稳定性。
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.