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- W2034505368 abstract "The aim of this note is to study the bounded solutions and the stability of the functional equation % MathType!MTEF!2!1!+-% feaaeaart1ev0aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXanrfitLxBI9gBaerbd9wDYLwzYbItLDharqqt% ubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq% -Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0x% fr-xfr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyuam% aaBaaaleaacaaIXaGaaGimaaqabaGccqGH9aqpciGGSbGaaiOBaiaa% ysW7caWGRbWaaSbaaSqaaiaadsfacaaIXaaabeaakiaac+cacaWGRb% WaaSbaaSqaaiaadsfacaaIYaaabeaakiabg2da9iabgkHiTmaabmaa% baGaamyramaaBaaaleaacaWGHbaabeaakiaac+cacaWGsbaacaGLOa% GaayzkaaGaey41aq7aaiWaaeaadaqadaqaaiaadsfadaWgaaWcbaGa% aGOmaaqabaGccqGHsislcaWGubWaaSbaaSqaaiaaigdaaeqaaaGcca% GLOaGaayzkaaGaai4laiaacIcacaWGubWaaSbaaSqaaiaaikdaaeqa% aOGaaGjbVlaadsfadaWgaaWcbaGaamysaaqabaGccaGGPaaacaGL7b% GaayzFaaaaaa!5C4A! $$F(x,y)+{1over n}{mathop sum^nlimits_{i=1}}F(xphi_{i}(y),z))={1over n}{mathop sum^nlimits_{i=1}}F(x,yphi_{i}(z))+F(y,z),$$ where F: S × S → C is considered as an unknown function; furthermore, S is an amenable semigroup and the mappings ϕi: S → S form a group of homomorphisms of S. The results generalize some recent results of Székelyhidi." @default.
- W2034505368 created "2016-06-24" @default.
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- W2034505368 date "1994-11-01" @default.
- W2034505368 modified "2023-10-14" @default.
- W2034505368 title "Bounded Solutions and Stability of Functional Quations for two Variable Functions" @default.
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- W2034505368 doi "https://doi.org/10.1007/bf03323060" @default.
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