Stability of linear differential equations of third order

作者：Abdollahpour M R^*; Najati A

来源：Applied Mathematics Letters, 2011, 24(11): 1827-1830.

DOI：10.1016/j.aml.2011.04.043

• Hyers-Ulam stability
• Differential equation

The aim of this paper is to investigate the Hyers-Ulam stability of the linear differential equation y((3))(t) + alpha y ''(t) + beta y'(t) + gamma y(t) = f(t), where y is an element of C(3)[a, b], f is an element of C[a, b] and -infinity < a < b < +infinity. More precisely, we prove that the equation y((3))(t) + alpha y ''(t) + beta y'(t) + gamma y(t) = f(t) has the Hyers-Ulam stability.

• 出版日期2011-11