摘要：The aim of this present article is to investigate various classical stability results of the multiplicative inverse difference and adjoint functional equations$$ m_{d} iggl( rac{rs}{r+s} iggr)-m_{d} iggl( rac{2rs}{r+s} iggr)= rac), igl[m_{d}(r)+m_{d}(s) igr] $$ and$$ m_{a} iggl( rac{rs}{r+s} iggr)+m_{a} iggl( rac{2rs}{r+s} iggr)= rac", igl[m_{a}(r)+m_{a}(s) igr] $$ in the framework of non-zero real numbers. A proper counter-example is illustrated to prove the failure of the stability results for control cases. The relevance of these functional equations in optics is also discussed.
