A functional equation of Ih-Ching Hsu |
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Authors: | John S Lew |
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Institution: | (1) Mathematical Sciences Dept., IBM Research Division, T.J. Watson Research Center, 10598 Yorktown Heights, NY, USA |
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Abstract: | Summary A recent note of Ih-Ching Hsu poses an unsolved problem, to wit, the general solution of the functional equation g(x1, x2) + g( 1(x1), 2(x2)) = g(x1, 2(x2)) + g( 1(x1),x2), where the i are given functions. This short paper obtains the general solution. It gives conditions which imply that anycontinuous solution has form g1(x1) + g2(x2). |
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Keywords: | Primary 39B40 |
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