C-solutions for the second type of generalized Feigenbaum's functional equations.

This work focuses on the second type of generalized Feigenbaum's equation where φ( x) is C-increasing function on [0, 1] and satisfies that φ(0) = 0,0 < φ′( x) < 1 ( x ∈ [0, 1]). Using constructive method, we discuss the existence of C-single-valley solutions whose derivatives are not equal to 0 on origin of the above equation. [ABSTRACT FROM AUTHOR]