박춘길 2019-11-26T05:45:23Z 2019-11-26T05:45:23Z 2017-06 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v. 22, no. 6, page. 1035-1048 1521-1398 1572-9206 http://www.eudoxuspress.com/images/JOCAAA-VOL-22-2017-ISSUE-VI.pdf https://repository.hanyang.ac.kr/handle/20.500.11754/114616 In this paper, we solve the additive rho-functional equations f(x + y) - f(x) - f(y) = rho(2f(x+y/2) - f(x) - f(y)), (0.1) 2f(x+y/2) - f(x) - f(y) = rho(f(x + y) - f(x) - f(y)) (0.2) where rho is a fixed non-Archimedean number or a fixed real or complex number with rho not equal 1. Using the direct method, we prove the Hyers-Ulam stability of the additive rho-functional equations (0.1) and (0.2) in non-Archimedean Banach spaces and in Banach spaces. S. Y. Jang was supported by University of Ulsan, Research Program 2014. en_US EUDOXUS PRESS Hyers-Ulam stability additive rho-functional equation non-Archimedean normed space Banach space Additive rho-functional equations Article 6 22 1035-1048 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Park, Choonkil Jang, Sun Young 2017011891 S COLLEGE OF NATURAL SCIENCES[S] DEPARTMENT OF MATHEMATICS baak