Bounded solutions of self-adjoint second order linear difference equations with periodic coeffients

Abstract

In this work we obtain easy characterizations for the boundedness of the solutions of the discrete, self–adjoint, second order and linear unidimensional equations with periodic coefficients, including the analysis of the so-called discrete Mathieu equations as particular cases.

Keywords

• discrete schrödinger operator
• mathieu operator
• periodic coefficients
• bounded solutions
• 39a12
• 39a70