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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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两类广义对数函数方程和Pexider推广
, PP. 359-363
Keywords: 广义对数函数方程,古典对数函数方程,Pexider方程
Abstract:
函数方程在数学、空气动力学和动态经济学等领域都被涉及,因此函数方程的研究对科学技术的发展和国民经济建设都有重要的作用.众所周知的对数函数方程在实践中具有广泛的应用,近年来,它引起了研究者的关注.在这篇文章中,我们证明了两类广义对数函数方程与古典对数函数方程等效.对其中一类广义对数函数方程,我们讨论了它的Pexider方程,并给出了它的通解.对另一类广义对数函数方程,我们也讨论了它的Pexider方程,并给出了它的二次可微解,从而推广了文献(K.J.Heuvers,P.Kannappan.AequationesMath,2005,70117-121.)和(K.J.Heuvers.AequationesMath,1999,58260-264.)的相关结果.
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