Solution and stability of mixed type functional equation in non-Archimedean random normed spaces  

作　　者：张石生 R.SAADATI G.SADEGHI 

机构地区：[1]Department of Mathematics,Yibin University [2]Department of Mathematics Science and Research Branch,Islamic Azad University,Tehran 14778,Iran [3]Department of Mathematics and Computer Sciences Tarbiat Moallem University of Sabzevar,P.O.Box 397,Sabzevar,Iran

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第5期663-676,共14页应用数学和力学（英文版）

基　　金：supported by the Natural Science Foundation of Yibin University(No.2009Z03)

摘　　要：The generalized stability of the Euler-Lagrange quadratic mappings in the framework of non-Archimedean random normed spaces is proved. The interdisciplinary relation among the theory of random spaces, the theory of non-Archimedean spaces, and the theory of functional equations is presented.The generalized stability of the Euler-Lagrange quadratic mappings in the framework of non-Archimedean random normed spaces is proved. The interdisciplinary relation among the theory of random spaces, the theory of non-Archimedean spaces, and the theory of functional equations is presented.

关 键 词：generalized Hyers-Ulam stability Euler-Lagrange functional equation nonArchimedean normed space p-adic field 

分 类 号：O177.91[理学—数学]