A discontinuous q-fractional boundary value problem with eigenparameter dependent boundary conditions

  • F. Ayca Cetinkaya, Mersin University, Department of Mathematics, 33343 Mersin, Turkey,


This work aims to examine a boundary value problem which consists of a second order $q$-differential equation and eigenvalue dependent boundary conditions. We introduced a modified inner product in a suitable direct sum space and a symmetric operator. We investigate the properties of eigenvalues and eigenfunctions and we construct the Green's function.

Vol. 20 (2019), No. 2, pp. 795-806
DOI: 10.18514/MMN.2019.2692

Download: MMN-2692