On the Hyers-Ulam Stability of Certain Partial Differential Equations of Second Order

Abstract

In this paper, we obtain two new results on the Hyers-Ulam stability of the linear partial differential equation of second order with constant coefficients Azxx + (A + B)zxy + Bzyy + Azx + Bzy = 0 and the partial Euler differential equation of the form x2zxx + 2xyzxy + y2zyy +mxzx + myzy - mz = 0. Our findings make a contribution to the topic and complete those in the relevant literature. © 2017 InforMath Publishing Group.