SCIENCE ASIAVolume 46, No. 02, Month FEBRUARY, Year 2020, Pages 240 - 244
Hyers ulam stability for c1 solution of series like iterative equation with variable coefficients
Chao Xia, Xi Wang
Abstract Download PDFHyers-Ulam stability is a basic sense of stability for functional equations. In the present paper we discuss the Hyers-Ulam stability of series-like iterative equations with variable coefficients. By the construction of a uniformly convergent sequence of functions we prove that if we can find a C1 approximate solution of such an equation, then there must be a unique C1 solution of this equation which is close to the C1 approximate solution.
Hyers-Ulam stability, iterative equation, variable coefficients