Ankara University, Department of Mathematics, 06100Tandogan, Ankara, Turkey.
AMS Subject Classifications: 39A10.
In this study, we investigate the eigenvalues and eigenvectors of a quadratic pencil of q-difference equations. The results obtained are then used to solve the corresponding system of differential equations with boundary and initial conditions and zero conditions at infnity.
Quadratic pencil, q-difference equation, eigenvalue, eigenvector
