Entire bounded solutions for a class of quasilinear elliptic equations.
Analytic solutions of polynomial-like iterative functional equations with variable coefficients are discussed in the complex field ℂ by reducing to an auxiliary equation and by applying known results for systems of nonlinear functional equations of finite orders.
We discuss the Hyers-Ulam stability of the nonlinear iterative equation . By constructing uniformly convergent sequence of functions we prove that this equation has a unique solution near its approximate solution.
Page 1