Periodic solutions and asymptotic behavior for continuous algebraic difference equations
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Date
2017-07-14
Authors
Ait Dads, El Hadi
Lhachimi, Lahcen
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Bounded solution, Periodic solutions, Asymptotic behavior, Kernel theorem decomposition, Fourier coefficients
Citation
Ait Dads, E. H., & Lhachimi, L. (2017). Periodic solutions and asymptotic behavior for continuous algebraic difference equations. Electronic Journal of Differential Equations, 2017(181), pp. 1-19.
Rights
Attribution 4.0 International