A note on stability of an operator linear equation of the second order
Summary: We prove some Hyers-Ulam stability results for a linear operator equation of the second order that is patterned on the difference equation which defines the Lucas sequences (and, in particular, the Fibonacci numbers). In this way, we obtain several results on stability of some linear functional and differential and integral equations of the second order and some fixed point results for a particular (not necessarily linear) operator.
scientific article; zbMATH DE number 5946518
scientific article