Non-monotonic solutions and continuously differentiable solutions of conjugacy equations

作者：Shi Yong Guo^*

来源：Applied Mathematics and Computation, 2009, 215(7): 2399-2404.

DOI：10.1016/j.amc.2009.08.031

• Functional equation
• Conjugacy equation
• Non-monotonic solution
• Continuously differentiable solution

In this paper solutions of conjugacy equation phi(f(x)) = g(phi(x)) for a strictly decreasing continuous given function f and a continuous given function g (maybe non-monotonic) are constructed by piecewise de. ning. We determine the conditions for piecewise continuously differentiable solutions of conjugacy equations with a strictly decreasing continuously differentiable given function f and a continuously differentiable given function g. Finally, the recursive algorithm is implemented in MATLAB software and two examples are respectively presented for a non-monotonic solution and a continuously differentiable one.

• 出版日期2009-12-1
• 单位内江师范学院; 四川大学