Periodic solutions and asymptotic behavior for continuous algebraic difference equations

Abstract

Many phenomena in mathematical physics and in the theory of dynamical populations are described by difference equations. The aim of this work is to study existence of periodic solutions and the asymptotic behavior for some algebraic difference equations. The technique used is based on convergence of series associated with the forcing term and the characterization by Fourier coefficients. Our results generalize the main results of our previous results in \cite{al}. For illustration, we provide some examples.

Keywords

• Bounded solution
• periodic solution
• asymptotic behavior
• kernel theorem decomposition
• Fourier coefficients