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Chaos for Cosine Operator Functions Generated by Shifts
International Journal of Bifurcation and Chaos, 2014Let 1 ≤ p < ∞. We give the sufficient and necessary condition for cosine operator functions, generated by bilateral weighted shifts on ℓp(ℤ), to be chaotic. Moreover, such a cosine operator function is chaotic if, and only if, its weighted shift is chaotic.
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On the spectrum of cosine operator functions
Integral Equations and Operator Theory, 1989Let C(t), \(t\in {\mathbb{R}}\), be a strongly continuous cosine function, defined in a Hilbert space H, with infinitesimal generator A. Let \(\rho\) (A) and \(\sigma\) (A) denote the resolvent set and the spectrum of A respectively. It is known that for certain classes of cosine functions, including the class of uniformly bounded cosine functions, the
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Properties of q-Starlike Functions Associated with the q-Cosine Function
Symmetry, 2022Mohammad Faisal Khan +1 more
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Linear dynamics of discrete cosine functions on solid Banach function spaces
Positivity, 2021Seyyed Mohammad Tabatabaie +2 more
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On the generators of cosine operator functions
Publicationes Mathematicae Debrecen, 2022openaire +2 more sources
A fast bilateral filtering algorithm based on rising cosine function
Neural Computing and Applications, 2019Jie Guo, Changhai Chen, Yang Ou
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