Generalized Hyers-Ulam Stability of the Second-Order Linear Differential Equations

[摘要] We prove the generalized Hyers-Ulam stability of the 2nd-order linear differentialequation of the formy′′+p(x)y′+q(x)y=f(x), with condition that there exists a nonzeroy1:I→XinC2(I)such thaty1′′+p(x)y1′+q(x)y1=0andIis an openinterval. As a consequence of our main theorem, we prove the generalized Hyers-Ulamstability of several important well-known differential equations.

[学科分类] 应用数学