Hypercyclic and Chaotic Integrated $C$-Cosine Functions

Marko Kostić

The main purpose of the paper is to display the main structural properties of hypercyclic and chaotic integrated C-cosine functions. The notions of hypercyclicity, mixing and chaoticity of an $\alpha$-times integrated $C$-cosine function ($\alpha \geq 0$) are defined by using distributional techniques. We provide several examples which justify our abstract theoretical approach.