Research Article
Yongjin Li and Jinghao Huang
Abstract
We prove the Hyers-Ulam stability of a partial differential equation. That is, if u is an approximate solution of Pn i=1 aiuxi (x1, x2, · · · , xn) + g(xj )u(x1, x2, · · · , xn) + h(xj ) = 0, then there exists an exact solution of the differential equation near to u