Existence of Psi-bounded solutions for linear difference equations on Z

A. Diamandescu, University of Craiova, Craiova, Romania

E. J. Qualitative Theory of Diff. Equ., No. 26. (2008), pp. 1-13.

Abstract: In this paper, we give a necessary and sufficient condition for the existence of $\Psi -$ bounded solutions for the nonhomogeneous linear difference equation x(n + 1) = A(n)x(n) + f(n) on $\mathbb{Z}$. In addition, we give a result in connection with the asymptotic behavior of the $\Psi -$ bounded solutions of this equation.

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