A system of two inhomogeneous linear functional equations

作者：Prager W^*; Schwaiger J

来源：Acta Mathematica Hungarica, 2013, 140(4): 377-406.

DOI：10.1007/s10474-013-0315-y

• system of functional equations
• additive function
• algebraic and transcendental coefficients

Given real nonzero coefficients a, A, b, B and additive functions , necessary and sufficient conditions for existence and uniqueness of additive solutions of the system xi(ax)-A xi(x)=I center dot(x), xi(bx)-B xi(x)=psi(x) are presented. According to the various possibilities concerning the arithmetic nature of the four coefficients and the algebraic relationships between them, the additive solution(s) of the system are given explicitly for each case.

• 出版日期2013-9