Optimal Hyers-Ulam’s constant for the linear differential equations

Abstract

Abstract In this paper, we will obtain the optimal Hyers-Ulam’s constant for the first-order linear differential equations p ( t ) y ′ ( t ) − q ( t ) y ( t ) − r ( t ) = 0 $p(t)y'(t) - q(t)y(t) - r(t) = 0$ .

Keywords

• linear differential equation
• Hyers-Ulam stability
• integrating factor
• perturbation